From ea1306d39b913c472bd3627160b7c4a27ab1d185 Mon Sep 17 00:00:00 2001
From: coqbot <coqbot@users.noreply.github.com>
Date: Mon, 16 Dec 2024 17:00:04 +0000
Subject: [PATCH] =?UTF-8?q?Documentation=20of=20branch=20=E2=80=9Cmaster?=
 =?UTF-8?q?=E2=80=9D=20at=208e6284fd?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
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 .../addendum/generalized-rewriting.doctree    | Bin 866858 -> 866858 bytes
 .../.doctrees/addendum/micromega.doctree      | Bin 398123 -> 398123 bytes
 .../refman/.doctrees/addendum/program.doctree | Bin 247075 -> 247075 bytes
 .../.doctrees/addendum/rewrite-rules.doctree  | Bin 169832 -> 169832 bytes
 master/refman/.doctrees/addendum/ring.doctree | Bin 684637 -> 684637 bytes
 .../addendum/universe-polymorphism.doctree    | Bin 937449 -> 937449 bytes
 master/refman/.doctrees/environment.pickle    | Bin 847529 -> 847529 bytes
 .../.doctrees/language/coq-library.doctree    | Bin 930322 -> 930322 bytes
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 .../extensions/arguments-command.doctree      | Bin 552388 -> 552388 bytes
 .../language/extensions/canonical.doctree     | Bin 881842 -> 881842 bytes
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 .../extensions/implicit-arguments.doctree     | Bin 548954 -> 548954 bytes
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 .../.doctrees/proof-engine/ltac.doctree       | Bin 2088319 -> 2087813 bytes
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 .../proof-engine/vernacular-commands.doctree  | Bin 848244 -> 848244 bytes
 .../proofs/automatic-tactics/auto.doctree     | Bin 564543 -> 564543 bytes
 .../proofs/automatic-tactics/logic.doctree    | Bin 215606 -> 215606 bytes
 .../proofs/writing-proofs/equality.doctree    | Bin 890086 -> 890080 bytes
 .../proofs/writing-proofs/proof-mode.doctree  | Bin 702533 -> 702533 bytes
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 .../user-extensions/syntax-extensions.doctree | Bin 2222744 -> 2222744 bytes
 .../.doctrees/using/libraries/funind.doctree  | Bin 424897 -> 424897 bytes
 .../.doctrees/using/libraries/writing.doctree | Bin 123480 -> 123480 bytes
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 master/stdlib/Stdlib.FSets.FMapAVL.html       |  90 +++++++-------
 master/stdlib/Stdlib.FSets.FMapFacts.html     |  36 +++---
 master/stdlib/Stdlib.FSets.FMapFullAVL.html   |  26 ++---
 master/stdlib/Stdlib.FSets.FMapInterface.html |  12 +-
 master/stdlib/Stdlib.FSets.FMapList.html      |  24 ++--
 master/stdlib/Stdlib.FSets.FMapPositive.html  |   2 +-
 master/stdlib/Stdlib.FSets.FMapWeakList.html  |  22 ++--
 master/stdlib/Stdlib.FSets.FSetAVL.html       |   2 +-
 master/stdlib/Stdlib.FSets.FSetBridge.html    |   6 +-
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 master/stdlib/Stdlib.FSets.FSetDecide.html    |  32 ++---
 .../stdlib/Stdlib.FSets.FSetEqProperties.html |   2 +-
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 master/stdlib/Stdlib.FSets.FSetInterface.html |  16 +--
 master/stdlib/Stdlib.FSets.FSetList.html      |   2 +-
 .../stdlib/Stdlib.FSets.FSetProperties.html   |  28 ++---
 .../stdlib/Stdlib.FSets.FSetToFiniteSet.html  |   4 +-
 master/stdlib/Stdlib.FSets.FSetWeakList.html  |   2 +-
 master/stdlib/Stdlib.Floats.FloatLemmas.html  |   2 +-
 master/stdlib/Stdlib.Lists.List.html          |  64 +++++-----
 master/stdlib/Stdlib.Lists.SetoidList.html    |   2 +-
 master/stdlib/Stdlib.Lists.StreamMemo.html    |   2 +-
 master/stdlib/Stdlib.Logic.ChoiceFacts.html   |  58 ++++-----
 .../stdlib/Stdlib.Logic.ClassicalEpsilon.html |   2 +-
 .../stdlib/Stdlib.Logic.ClassicalFacts.html   |  28 ++---
 master/stdlib/Stdlib.Logic.Diaconescu.html    |   6 +-
 master/stdlib/Stdlib.Logic.EqdepFacts.html    |   6 +-
 master/stdlib/Stdlib.Logic.Eqdep_dec.html     |   6 +-
 .../Stdlib.Logic.ExtensionalityFacts.html     |   8 +-
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 master/stdlib/Stdlib.MSets.MSetAVL.html       |  68 +++++------
 master/stdlib/Stdlib.MSets.MSetDecide.html    |  32 ++---
 .../stdlib/Stdlib.MSets.MSetEqProperties.html |   2 +-
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 master/stdlib/Stdlib.MSets.MSetGenTree.html   |  54 ++++-----
 master/stdlib/Stdlib.MSets.MSetInterface.html |  14 +--
 master/stdlib/Stdlib.MSets.MSetList.html      |  10 +-
 .../stdlib/Stdlib.MSets.MSetProperties.html   |  28 ++---
 master/stdlib/Stdlib.MSets.MSetRBT.html       |  84 ++++++-------
 .../stdlib/Stdlib.MSets.MSetToFiniteSet.html  |   4 +-
 master/stdlib/Stdlib.MSets.MSetWeakList.html  |  10 +-
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 .../Stdlib.Numbers.AltBinNotations.html       |   2 +-
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 .../stdlib/Stdlib.Numbers.DecimalFacts.html   |   2 +-
 master/stdlib/Stdlib.Numbers.DecimalN.html    |   2 +-
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 master/stdlib/Stdlib.Numbers.DecimalQ.html    |   2 +-
 master/stdlib/Stdlib.Numbers.DecimalR.html    |   2 +-
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 master/stdlib/Stdlib.Numbers.DecimalZ.html    |   2 +-
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 ...ib.Numbers.Integer.Abstract.ZDivTrunc.html |   8 +-
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 .../Stdlib.Numbers.NatInt.NZMulOrder.html     |   2 +-
 .../stdlib/Stdlib.Numbers.NatInt.NZOrder.html |  20 ++--
 .../stdlib/Stdlib.Numbers.NatInt.NZSqrt.html  |   2 +-
 .../Stdlib.Numbers.Natural.Abstract.NDiv.html |   6 +-
 .../Stdlib.Numbers.Natural.Abstract.NLcm.html |   2 +-
 ...dlib.Numbers.Natural.Abstract.NMaxMin.html |   2 +-
 ...Stdlib.Numbers.Natural.Binary.NBinary.html |   2 +-
 master/stdlib/Stdlib.PArith.BinPos.html       | 110 +++++++++---------
 master/stdlib/Stdlib.PArith.BinPosDef.html    |  22 ++--
 master/stdlib/Stdlib.PArith.POrderedType.html |   6 +-
 master/stdlib/Stdlib.Program.Combinators.html |   2 +-
 master/stdlib/Stdlib.QArith.QArith_base.html  |  36 +++---
 master/stdlib/Stdlib.QArith.QOrderedType.html |   6 +-
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 master/stdlib/Stdlib.QArith.Qpower.html       |  38 +++---
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 master/stdlib/Stdlib.Reals.RIneq.html         |  94 +++++++--------
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 master/stdlib/Stdlib.Reals.R_sqrt.html        |   4 +-
 master/stdlib/Stdlib.Reals.Ranalysis1.html    |  30 ++---
 master/stdlib/Stdlib.Reals.Ranalysis5.html    |  12 +-
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 master/stdlib/Stdlib.Reals.Raxioms.html       |  18 +--
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 master/stdlib/Stdlib.Reals.Rfunctions.html    |  14 +--
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 .../stdlib/Stdlib.Sorting.CPermutation.html   |   2 +-
 master/stdlib/Stdlib.Sorting.Heap.html        |  20 ++--
 .../stdlib/Stdlib.Sorting.PermutSetoid.html   |   6 +-
 master/stdlib/Stdlib.Sorting.Permutation.html |   2 +-
 master/stdlib/Stdlib.Strings.Ascii.html       |   6 +-
 master/stdlib/Stdlib.Strings.PString.html     |  14 +--
 master/stdlib/Stdlib.Strings.String.html      |  16 +--
 .../Stdlib.Structures.DecidableType.html      |   6 +-
 .../Stdlib.Structures.DecidableTypeEx.html    |   2 +-
 .../stdlib/Stdlib.Structures.Equalities.html  |  18 +--
 .../Stdlib.Structures.EqualitiesFacts.html    |   4 +-
 .../Stdlib.Structures.GenericMinMax.html      |  18 +--
 .../stdlib/Stdlib.Structures.OrderedType.html |   4 +-
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 master/stdlib/Stdlib.Structures.Orders.html   |  14 +--
 .../stdlib/Stdlib.Structures.OrdersAlt.html   |  12 +-
 master/stdlib/Stdlib.Structures.OrdersEx.html |   2 +-
 .../stdlib/Stdlib.Structures.OrdersFacts.html |  12 +-
 .../stdlib/Stdlib.Structures.OrdersLists.html |   4 +-
 .../stdlib/Stdlib.Structures.OrdersTac.html   |   8 +-
 master/stdlib/Stdlib.Vectors.VectorDef.html   |   4 +-
 master/stdlib/Stdlib.Vectors.VectorSpec.html  |  24 ++--
 master/stdlib/Stdlib.ZArith.BinInt.html       |  80 ++++++-------
 master/stdlib/Stdlib.ZArith.BinIntDef.html    |  32 ++---
 master/stdlib/Stdlib.ZArith.Int.html          |   8 +-
 master/stdlib/Stdlib.ZArith.ZArith_dec.html   |   4 +-
 master/stdlib/Stdlib.ZArith.Zabs.html         |   6 +-
 master/stdlib/Stdlib.ZArith.Zbitwise.html     |   8 +-
 master/stdlib/Stdlib.ZArith.Zbool.html        |   4 +-
 master/stdlib/Stdlib.ZArith.Zcompare.html     |  16 +--
 master/stdlib/Stdlib.ZArith.Zdiv.html         |  18 +--
 master/stdlib/Stdlib.ZArith.Zeuclid.html      |   2 +-
 master/stdlib/Stdlib.ZArith.Zeven.html        |   2 +-
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 master/stdlib/Stdlib.ZArith.Znat.html         |   6 +-
 master/stdlib/Stdlib.ZArith.Znumtheory.html   |  10 +-
 master/stdlib/Stdlib.ZArith.Zorder.html       |  20 ++--
 master/stdlib/Stdlib.ZArith.Zpow_def.html     |   2 +-
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 master/stdlib/index_library_T.html            |   4 +-
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 238 files changed, 1194 insertions(+), 1196 deletions(-)

diff --git a/master/refman/.doctrees/addendum/extraction.doctree b/master/refman/.doctrees/addendum/extraction.doctree
index d1d728a0080ce797fcdfc20cc62bcba60eecaf04..f48eeb878b3015edc8e9a5ecd0feaf930c1d2eca 100644
GIT binary patch
delta 45
zcmbPpLv+p!(S{br7N!>F7M3lnH$;SsQj1edrt~l;=HyK2VNI<lDN5Y_T7=aw8~~Z0
B5pVzi

delta 45
zcmbPpLv+p!(S{br7N!>F7M3lnH$;R}D@uwIr}Qu<=HyK2VJ%86PA%E~T7=aw8~~ZE
B5pVzi

diff --git a/master/refman/.doctrees/addendum/generalized-rewriting.doctree b/master/refman/.doctrees/addendum/generalized-rewriting.doctree
index f6f7a7a88e8ef8c91cb91635cb1f3985b52e42f6..3c2042bb5c12e6454fab3d3b00bc306daa55655a 100644
GIT binary patch
delta 104
zcmZ4W#bnhNlZF<?7N!>F7M2#)7Pc+y*L}EIi&BeIOQ!TNW#+X%@?qcp$cN*&HV<oJ
wQhpIolsPdcXZpzu4*Bg@DmZ?;M^-(3UpALQ`}Yh^Am##M?(N?*c#JOs0GoI#X#fBK

delta 104
zcmZ4W#bnhNlZF<?7N!>F7M2#)7Pc+y*L}E|GV`YNuok5jr<Sxo@?qcp$cN*&HV<=R
wP7Y8wF)6>OWctYr4*Bg@DmZ?;M^-(3UpALQ`}Yh^Am##M?(N?*c#JOs0GX;QX#fBK

diff --git a/master/refman/.doctrees/addendum/micromega.doctree b/master/refman/.doctrees/addendum/micromega.doctree
index 187b472c3d25f060b76f551aa9ce9591a93af584..2f516590f7e302258530d0a2cf3ba539a7ebf80e 100644
GIT binary patch
delta 69
zcmZ3zOk(viiG~)&7N!>FEi65@Jj{tXIa7LAQ!7e}5~mwHU{-A3Y0I*Gr!6aMJ%*gf
K_IrC+eZv5H#u>o?

delta 69
zcmZ3zOk(viiG~)&7N!>FEi65@Jglh|B}Iu-dYBV)a;6(RU{-A3Y0I*Gr!6aMJ%*gf
K_IrC+eZv5Jav8w@

diff --git a/master/refman/.doctrees/addendum/program.doctree b/master/refman/.doctrees/addendum/program.doctree
index e9d7e667b61bbcddccb0764b5ac8873c2b9d573e..6cd0984c42b09e5786ce5535263f45f1076d3809 100644
GIT binary patch
delta 42
wcmZ47#lN_VzhMibQ9d_oQEG8&$&?<Z%)IFrJ~7I-$K*2tG1K;#eCFe!09-u~JOBUy

delta 34
ocmZ47#lN_VzhMibQ9d(MX5RD@pBUBKWAYh+m}z@VKJ)QV0OQvT>;M1&

diff --git a/master/refman/.doctrees/addendum/rewrite-rules.doctree b/master/refman/.doctrees/addendum/rewrite-rules.doctree
index 3e14f8ff09416d0a995e8cb9c56523531875125a..c084f62367a983e54cb389e2bdd1cd969383e592 100644
GIT binary patch
delta 54
zcmaE{j_bubu7)j)fBti`lqVMDP3d7y%*olx&h$K4n6)UiIJIO-50b=o#uTP>V*rZM
B6~_Po

delta 54
zcmaE{j_bubu7)j)fBthbC+6f#>0v2PEXv!;&h$K47)fAC4{K3sacaqS#uTP>V*rSv
B6~_Po

diff --git a/master/refman/.doctrees/addendum/ring.doctree b/master/refman/.doctrees/addendum/ring.doctree
index 0ebee65995d8986df8b3830e3a0b8cfcc3a14265..8ce0271f396a65183928870d5ed8b49b00151878 100644
GIT binary patch
delta 129
zcmccnMDy+w&4w+Ei&pb6C+6f#>0wQ+C@D&8U$>eOh?#(x8Hibcm=%cGwy#^wZZ3qP
nbo<A>?A-anMXAN9B~yA(4B^-1*v_xZdF%r=+3hc6xk^I-JKr_d

delta 129
zcmccnMDy+w&4w+Ei&pcnrdE^`B~IyKPRz+^U$>eOh?#(x8Hibcm=%cGwy#^wZZ3qP
pbo<A>?A-anNSdeguok5jr<Szy>vC-8*X2C+0h{dh7qVQXApkw6HP!$C

diff --git a/master/refman/.doctrees/addendum/universe-polymorphism.doctree b/master/refman/.doctrees/addendum/universe-polymorphism.doctree
index f1bda51d7eb083bb0a50b8b4269bda9547a5a6cc..059ea1233f19b04916be0be677b81c3da275cf35 100644
GIT binary patch
delta 167
zcmaDk+w$dX%Z3)l7N#xC5!KwRMXAN9B~yBsGV`W8%x0ErZ>(kpViq7~-QHNuHs1+Z
zNxSwwHXvpPVh$kY1Y)l3+WWYr6_8bJ54^|yZ7Mr!Vp4ul$&~2=@3>XA7nSgcTCziJ
e0}HipTFbM2(^}rwHgMr;F+R2Jr(W^OCj$W7k3Zi4

delta 185
zcmaDk+w$dX%Z3)l7N#xC5!KTJSU6bNdsvH7i&IOcJIrR5Yj3P(24WT<X5HRc%{Jc&
zMNPZ*J~kj`2VxE&<^*D{?b`der4>+=Z4bQ1{cY-Wg$*pMK+_YG@{3BQ1BK+b7nSgc
jTEfI3wt~dlH?8H_zG*G*Ya3L#1~ERx?WbPx$|nN=ASpuu

diff --git a/master/refman/.doctrees/environment.pickle b/master/refman/.doctrees/environment.pickle
index c5d3262fe8794a0421bd6104f58a9b5cda659d33..1cd8a249358ba76fb8a61fd4e1fa1c73b35a29be 100644
GIT binary patch
delta 49577
zcmZTxd0<V)_wRl0zWZ{YJt7F%ypY725U~?M5>jg{5wT<wxmhK#FR}L_NL@^6t+kX|
z8(g*1Qu|s;?R;C+*4CmF_4~}seYakJe=wi(nKRp&Gc)IIdFyX9S%0I+*6$jUMju=4
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ATL1t6

diff --git a/master/refman/.doctrees/language/coq-library.doctree b/master/refman/.doctrees/language/coq-library.doctree
index d54bc0ebdfbc0440eb1df4ddde93d1786fdde929..3374922c6540c331015b9d5df39e714b543ff902 100644
GIT binary patch
delta 110
zcmbRA#A4DDi-s1)7N#xC2|svQ6O;0bN~ZKMW#&zpFnwV+vuu0U4`v`{0b*7lX4~HN
zgZ<SGZq}mI;#7#j_WF$+K+L(lej`_+6DLb~Vo@H*g!Y%8xqz4(h<UcZ{LHIq2LPcv
BG8q5>

delta 113
zcmbRA#A4DDi-s1)7N#xC2|uP!Sk1`7*~6NclwVXbWy17@-ORG>T|bzCm<5PgftYQ3
z*AMnrJHRU0dsvH7i&IP5>o;-$G3WOBja-RNU@6ufmh!}+_LrZzfS4PIdA7g&%&Tb!
E06DZXO8@`>

diff --git a/master/refman/.doctrees/language/core/assumptions.doctree b/master/refman/.doctrees/language/core/assumptions.doctree
index a04332bc5d520f5d532ae5530e820633e0a3d65f..d9801e137cd890ec60541c9bebae386b7469daf3 100644
GIT binary patch
delta 31
ncmcbxgZsh`?uHh|EljG_+^j{Z#i=DzdYCfvwi{G4DI@{_$p8zJ

delta 31
ncmcbxgZsh`?uHh|EljG_+)SByQ+im7Qj1edwi{G4DI@{_$Y2YT

diff --git a/master/refman/.doctrees/language/core/basic.doctree b/master/refman/.doctrees/language/core/basic.doctree
index f5bdf5402628d7d8ca25ab801b7d9b35edc50c46..4c5cfa509284885ccd5ea1fc214e51fa5814e276 100644
GIT binary patch
delta 85
zcmZ2@Ky2Xwv4$;-OjCr5Qj1edrt~l;=HyK2VNI<lDN5WfI)$-Yb-MgbW;Qm6Nc)<d
hj6lq^ea%khVtH<s^2DM%h@N(>o6Os_ZnAto1^}VIA|wC+

delta 85
zcmZ2@Ky2Xwv4$;-OjCqYD@uwIr}Qu<=HyK2VJ%86PA%CkI)$-Ym4_8cs(sB)Mj&R|
gzGf$LvHbJ}I~mznS;`ZO^4hg-GH=(q$@2Xe0JFv-g8%>k

diff --git a/master/refman/.doctrees/language/core/conversion.doctree b/master/refman/.doctrees/language/core/conversion.doctree
index b1de8f41f5905e9d8d56f2bf648e5c2f93025251..4c814380be0752cf67dfbb12625dae306b77456c 100644
GIT binary patch
delta 49
tcmeA>%HDUBy<rRExl$h1#H9S9k|{mRi8(pjZ<R9M6hRf*-^F-7902(H6jA^H

delta 47
scmeA>%HDUBy<rRExzfq;#jNZ-tcgkaMJ3yBl``HGK@r*C#dtm(0M;B6d;kCd

diff --git a/master/refman/.doctrees/language/core/inductive.doctree b/master/refman/.doctrees/language/core/inductive.doctree
index be509a383d847353ae965760cbd8b640e563412a..47389813e6d6770cc66bb27288544c799d12fab1 100644
GIT binary patch
delta 169
zcmdnh<g=^Er(p}@E+=-@qSWHlk}1;-lNr_8pF1&bf9}NObP6uK&6Qbgdl)bC&RuY!
zj5cPK?N%q4%PhH}ntPZs^QPyvG0V5#Vq^hgRv=~rV)pH~7&%UhAS-L%AjSd2oIuP4
c#N0s41H`;Q%m>8$Kr8^ng4;KU33a^!05n5BdjJ3c

delta 179
zcmdnh<g=^Er(p}@E~n`MPZ(L*dsvH7i&IP5k2x`JKjy@gd<sQ)`fgWd#qD9d%sY3X
zis!a5%Wt<j!CYp^&6Jrp1!~H4kZ}7gMiwAu1!6WJX5W5`k>j)ova<FKVjMus3B+7L
b%nigmK+Frod_c?(!~#GpxP60|P}eH}^Bh8B

diff --git a/master/refman/.doctrees/language/core/modules.doctree b/master/refman/.doctrees/language/core/modules.doctree
index 054840b78e895df01f7efe90aa54c34b7b6e3f84..cdcedc23e5fae6d3950192c74bc937a05e2f9f84 100644
GIT binary patch
delta 108
zcmdmTO?}HX^@bM4Elgg9+^j{Z#i=DzdYCfvwuc%reJbT*PRz-f(!-LLn7KW0Ia7Ky
ovXb`0O3d32E3us7K@pvy&(c0apB0GNfS4VKIkwNx=bW<}0K88qR{#J2

delta 108
zcmdmTO?}HX^@bM4Elgg9+)SByQ+im7Qj1edwuc%reJbT*NlVPknbO0Yn6o`_Ia7Ky
ovXb`0O3d32E3us7K@pvy&(c0apB0GNfS4VKIkwNx=bW<}0J>`^R{#J2

diff --git a/master/refman/.doctrees/language/core/primitive.doctree b/master/refman/.doctrees/language/core/primitive.doctree
index af794a595ee51f360addfd36ae39c67b1ff1d6d7..356d489b78f05d35874c16f3a23438ce0cc9b23a 100644
GIT binary patch
delta 36
scmaDch3mx>t_@6=d0C56i&IOc^e|=SO_?yc!Be(b=kj))%ZxVL0V0kMi2wiq

delta 36
scmaDch3mx>t_@6=d6_cvru48Dr52}_Oqnpb!Be(b=kj))%ZxVL0U_=Wi2wiq

diff --git a/master/refman/.doctrees/language/core/records.doctree b/master/refman/.doctrees/language/core/records.doctree
index 5e2505b036e4b1a7d1d71e1090d6e8be55d07143..73d12eb7db9395862f75eb9dce24961c81fe4a06 100644
GIT binary patch
delta 65
zcmdn6NovC;sfI0#DbsjZi&BeIOQ!TNC+6g|7ffRWVkRJF24a@&1=Cm~OHq_;zsk)P
G-3tI<AsL$h

delta 65
zcmdn6NovC;sfI0#DbskE6LWH=^spAC7N?f97ffRWVkRJF24a@&1=Cm~OHq_;zsk)P
G-3tI-ff<_s

diff --git a/master/refman/.doctrees/language/extensions/arguments-command.doctree b/master/refman/.doctrees/language/extensions/arguments-command.doctree
index 5013be2516107ec8bb953fe00b4be9475eb4dbf1..403be9ed75f04d4f5e7ff1882109f3dbba40546d 100644
GIT binary patch
delta 88
zcmX?dTk*(k#fBEf7N#xCUz>SYi&BeIOQ!TNC+6gAXKZ1<_zgv<{azId5VHa?+xB}^
Z?Alq}Fda;pdD9u)IE1&WKV_fW0RV6VBg_B*

delta 88
zcmX?dTk*(k#fBEf7N#xCUz>TD6LWH=^spAC7N?eMXKZ1<_zgv<{azId5VHa?+xB}^
Z?Alq}OqqEw4bvIjIE1&WKV_fW0RU~oBg_B*

diff --git a/master/refman/.doctrees/language/extensions/canonical.doctree b/master/refman/.doctrees/language/extensions/canonical.doctree
index 015a378cfec2664ac0fae70a43f1a1505a502792..a058d80fbd1088c5f3dde89f2ddc4bad967b6883 100644
GIT binary patch
delta 112
zcmdn=(sa{H(}pdK;nR6oi&BeIOQ!TNC+6gAPoB=WM}&tpF)6<YD%7sMhH<<08m7;t
u>`;}{|8+8}w0k~c0%B$$W&vVWAZ7z%b|B^eVoo6D0%Gp%o{xAkCjkH~C@z=)

delta 117
zcmdn=(sa{H(}pdK;nS!8?__3W?_n)UElw@jo;;m#j|faCF)6>Oq+NRr<96*eOrK3*
t!eEut^L3cz+dUsK0WmWWvj8zG5VHX>I}mdKF((jn0WtS>&qq9&lK?d7Flqn*

diff --git a/master/refman/.doctrees/language/extensions/evars.doctree b/master/refman/.doctrees/language/extensions/evars.doctree
index e13440db5721ba9270aa7d6cf93edab65409b93e..217f6ee51743e821d703f47da31d40ebbd488293 100644
GIT binary patch
delta 38
ucmZ2;h-b|qo`x-qa)-ECi&BeIOQ!TNW#&!qZ(ver_dLY7-SZIB<2V2@3J;b5

delta 35
rcmZ2;h-b|qo`x-qa)+3iGV`V@YBGvWpVPo3-0pdZal7XsrpIvr@JkIn

diff --git a/master/refman/.doctrees/language/extensions/implicit-arguments.doctree b/master/refman/.doctrees/language/extensions/implicit-arguments.doctree
index ddae1bd507c3f7b106b8ae6976287cb639ede12f..8e13871c7091d8426080fd7eb60acd1e522824f2 100644
GIT binary patch
delta 156
zcmcb0K=IZA#SOW~rY}ffWMg4TOU&F{eoS)~J8NQ6eo@Jk=`ueURoYJ{Fm6Acz@)Cp
z%~GCNlsBb^IWZ?^``=EchxW)K?JrL<0WtITmnT_P2l22Lr52}_Kou{LVKs_G5o*6z
Y%DVktDVs<<s_?%nY}@}`VUOts0K{KF!vFvP

delta 156
zcmcb0K=IZA#SOW~xLDE>Gjpc&Fem10E<dI@iwDR6a#<6T@{3BQEB;`VZ$F*Dxczhj
zle*^Q++*x4<%vak+y8blJ+y~&+h3k!0%GRvFHf?p4uY9blv<oxvVDOJt5GD1Q2V`7
X*6sI7*+k+|h5ub)+y3tgdrUU~QAR=_

diff --git a/master/refman/.doctrees/language/extensions/match.doctree b/master/refman/.doctrees/language/extensions/match.doctree
index 27e8c0e315f678228f87ec34b22c4d6fdcd3ed1d..868d6bae091e22d68e69cc39a76181ef91aa0ec7 100644
GIT binary patch
delta 253
zcmcb8#rpOY>kZFWu(KAW7N?d>nLMvcWwX#qgXcU@fga|>oSf}`6Bs4bQG})gh2*zS
z+|I~t1JgUbw3SJv{rG1_AZFTr{4?|9*W4`SiA8x+AcmygXNkYb4KtT1GjIF(9jyBG
z$Rh2W7Hr!&E!gXs;f6N8VpHC}$(lX49xl}PmR-5sb2mE>b8PqA%^9qVV#e|pobAhB
fZ~-y*_T?{lJ}-c4R6NG3+J3B)cl)tUzNrZSWHD!~

delta 281
zcmcb8#rpOY>kZFWOi!4_!7A9pT9jIxS~6uqX@+XnS9S)5$qinjn}t>yJO|6OL*=*o
zO<<HzM-iG16q4UQaXTZo4XSumE0cWt@z0Dv%(VUZXXeST!SZZ9EaizsdD~O(v&7$=
z{vn-}1#bBH9jyBGC_?R=7Hr!&E!gXsQG}=8Dqxe}zR8+B7frd=ZuWMq-5lGsc5@c#
iqG)Mf{(=*Txqz5^`|=k&pBJD?FYV;rzO<8XTLJ(^t#C^K

diff --git a/master/refman/.doctrees/proof-engine/ltac.doctree b/master/refman/.doctrees/proof-engine/ltac.doctree
index dc19fec6d2816328a1805c8d006e94780fbe7acf..25d62f1ef7c39cb8b104e898e3310c2d97ac6ed9 100644
GIT binary patch
delta 2800
zcmeH}e@t6d6vrv01^NS9`h$+Pr;jlrnc4Hbc5R`ux-DH?W+Gd%OtYlAqPU>lm_RcA
zFriB@Z#tG~!Z-}l4oq}0OBS3aSKKmnZlX&7Co(fKGr-NijDtV+2hoW4y%yG&{=mQd
zYcDyy%{k|ud++Cd-)Wb>?0ScE#kv*Ug`X?uPH0ta&F#${y*-63hshr&l%pIj>{sd4
zJw>laTB5k+J7tw{`?8W+5xIR?HF{OIGC>)MMoFSey>J0zLA|<2oPbX^7FP+QY%v*S
zOFB=P(sO&0C56zH5^AL+bVaj|mo5L%1I@)l=^mjetR+oh-LD(vt3H2RH?>FZ+Bl=z
z_nO?*6V!kFvdkp}<9ZT|m-$WUtB}}8nO&<>MVeaMC<yUf!nsRj<lLnvt{;#k9(5S5
zzAE#CVuo9t=^mkG$v|qBjBcfQ<?!i+$(w&0!w+Sf!cD`bD)Ml#e5YQvhot|F<#IAC
z^Anoi_*rqPI=+3-V#7P{T68%6mHtWOh_XVszt>Fe@3s80SvC=42Q6koQ!lbIKN<MK
z@}hsW;DdYCYQer>p=Krag^J_bS3|}|TeUFmwozM0t&*CZjJq8Z&U6H*f5lNHjO}(%
zbCR*$px&WQiVS;~;3@p)G?Xh!(bxz3m7Kqh9PWb;6yi4=J_CSEKddk3Y8dHp`^14`
zc@BrpfU9o;)Ho6cN1g=6;$!PGrt|n$KLpJ_wk{(iRmQ{w*qlC2ir0HsZ$=s?ZqK*D
z&9gj>r3S`b=l7=e$njjeUL)=oZ(ak=?n@R)4Giz$xa46tFDm-Mh1x-|D?GS(9c*+M
z7=Zc`kGQOd_2AYaSclIILcPhivXi>hY<@FRWC1ch2$3W=J`N#MCNduH#-Uc?l`FbE
z2P|I##84(I9#1BqVGU5*&Vm*HoPt_sURp@=o~_P<$-Bby{TmRFvDx#8+xZ~~S+hWD
z*Jv<&3vB2d2Ad==O3jKd3<Jr<)JoV7q1IJ-s<fb>qqQRvWjb08H3vlQ48yacSdV-I
z#}tK}ACF9eUD9e+v~Nv9<*HcoW#m%p+_w<OaRFlO{~}i@&u|vXahbk0Yh1;|HSjp{
zT?I<z<dXe*61=i&v0&uK9FnEr+(;$69u4zQfwO(kiX-%9@W2>Y#E)(@<x4Ldx82A`
zcJ3$GkXzC;8q6W-+3z7}%PMJc(ZvLPA!!dVyBH>a7q~M8fi+;>{Q;iI4|DEk*dilm
z#fE9{KT`F{Y1nGcrfNL4v(RCG>9ItmwwT^jy^kd-{ZexH|4B4kCndAfu&fn(<frrS
z3BETEmTYMlxd-Pl{2TCVrV^Suq7eUP7OR>&JK7>Rv;;2F@H=d><E{#a5t*Y(8yQr%
SZYoMon`R26heVYw)6Bn8Q4@3k

delta 3150
zcmeHJeN0<b6t|R?&qC=3Fj`JKGZaa9zJ9;5SqH&n&X{3B=0}2jI5bln3t;3gDap*6
zfhZ=xfsO+GW6orWTc+_2ncHORm<Ei9(O^(Ex2ZAH;U9}x)Zl%ueOsP=ZT;KqCZ{(!
z=XcM!_jm5^zP?WSHa_YL9#9>~_&|Mm0N1Y;XJ!p*y4t(jd&u<x^$e?dzIAWMFsjP6
z7TkG3ZQ@r>si|d>l~bCTIXv#vYHlx>?9;Blr^ysnU}Uzyh!5?`GV(J_7MWqPd*3pO
zk>NpgYe&a$ya-=^I-6P!sXv{&+aa%i_(txDmt`)#ttpSRHRXR-B`^Hg!TjYX<gTi3
z^LOu&y9NWgcb=8G_&``k0^tImQC5Zoj~7_-BxGw_XIBq@WVV1DnJtXA$dRvF^>fe3
zUG+iz*S#_qUvW!MDsB}y)nd-VL5-MG;()yLS5ebVshr3?R!5AR$<5ylJ9Ls?ToUuY
zxM3g>nV(SnuJ>g{G5CVngsX3u^KtQv?tWy6x`e;hXd>4d&EL3Xt3@cG&=ZWzPeLcn
zPx|CpAN;Ar##`3S)QX8^z2sn>JRV^;+4x0gDYZ@1%BWe$qSN|$xg4i!wr=L<8?4mI
z$$SH7AHj(~AWynWxHbX~6~UrWct-8xJh=T3)ZkDQ?09w>EO==YI&gg&s)QdiHcZ5P
zT0Dl(ATEfE1E75j?lpQU?BZ~Gg^6VxZWoHtV{>VuT3i@|GP93yE2Q{y3<5OdQV5CJ
zTPDGT!Ewke_xKrM4}KTpPXIfFt$4RM{0v89@yYJwe4hAjSqImx%N2HxON+o-Jh6)L
z$?kBmZ0uO97gb|m^X%*FY2MSmzj^Pzp03XBfW2BA6ys)Cp?rL@+r2)igx86o5cso&
zE!bTQhp&AK#dvre%CKdbo+5l6vQ%#D4?(HQhrfnkyU{6~go{^qaD?{gkV+)~`w6I5
z<b5y<l~}k0)@0GTBy3*^gAh_;yJix$rQ!IuNqU~}MW`%KNi<U2!`2iGa{@xlWO5|(
ze1}|Rjvt+Z+JABU?i6gj!|dNvlr{xsv2hw)k_?J*dK!o#j5eT{1S3#s%kbpl7i(Y^
z7Lom*L4T|-OXp}ylZrx&CKZJgO(}}Y3s94!P2&37qOhhC1@@n#dOkA_rD^(QKM$_d
z{SvBjiLDYek)~Z#br=bOvs6+=?8bXNlHRa(0jx>_(M4gKA+e44$ysobH>2=$tQo&t
zpgK}|oQCFMOLCFWsPOJ6JxOmbL7-GoB*I~8C&80OCj%FuCJp67U&7YZl+z^lxf3b>
z4|F$7L5)lxkH@u<?GxU>ABKlf9|gZDkz1}C`*&nm)lc2M_bkJDIlO!C#Si`e>fS58
z`Q*oC*vJ#V4L`5J$4U@9c?nk2B90Qn70{@(n)cqFuGZN9_v<5IAaz%v+LAM(TfIjd
d*#C;=0W!7$ODg;@$EL@x^i~rYRoQN=`~xR4agP81

diff --git a/master/refman/.doctrees/proof-engine/ltac2.doctree b/master/refman/.doctrees/proof-engine/ltac2.doctree
index 136786143171475a6d7a59118f474a5955b8c1b2..2e0642414e9b3e8ba6aa2a9978691e2065466d73 100644
GIT binary patch
delta 183
zcmX?k#_!}AzlIjZElfH3JgkXH`9&pDdYBV)a@s5OnShuXh*^M`6^Pk@n0<SNK8Ljr
ziqh@-t2y}pq6*!r;JlxRDs=P~r(QFPQ2YN_uI>M0xebz0g{=>Aw_6|N0b*Vt<^y7W
QAQk{(!R^)uh4`KV0Jt7T3jhEB

delta 183
zcmX?k#_!}AzlIjZElfH3)8kJuv$FTFCMM+<m9$srGXXI(5VHU=D-g2*G5hukeGY3M
z6s6nuS99?HMHRYL!FfLsRp{s~PQ7Lnq4xi=T-*Q0avLP03R@rKZnr+j1H`;Q%m>8$
QKr8^ng4?YR3h_M!0I)wry#N3J

diff --git a/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree b/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree
index e956eec96628aaf5a1ec63f85ab4625a4f5767b9..bc47d5d825d7a1e09741e2348f9ae42d23d753cd 100644
GIT binary patch
delta 926
zcmZwEU1*X~7zc2szP-+x*8Hf|(pQ(c>HJu$wzg9HSgWjDYYVyw-pa%njhvxDsg&%E
zArWkJqP*%R`n*`tp)R@_>mmv(+(mRFEOsfuZW>Jcw;8X37r%@1Jm);mbIzHa{wA4)
z<eR#yC58zH#sXwO;55QSsSYF{1sO1~23U|oJt$x;tfLd9hM&R80*RnfNCZ`|9yZWK
zu(7DCmqq#Tm8rBOB#g%!K@A$v(($-%F3vLi`O$D>isa9+&E#^QP9sb%>tG{nf+pAu
zTcDXvE^m#sknB^rQkgDSW&*KDm?!xmy_)tI^^ZD<caCA$^lF?UKFAUOuw4v!uIVEt
zeYtU(#S=t$jF6V{BO_D)&wVBO+ynLMaMhW2F2mdYnweWML(*3>qn$B4AFi4C-o*X6
zQT+<VGaO57V_XB35-xs0_HR<+7dS0_xWp;%*SbEPxo7mhth%{iaGRh7wo!xI>`7J>
ziheL(_pNMa(y~i@h!hshT0y1Q4i;#oDn;AvqIiNRX&d`wT5b)BG5TrL`a2=6g<Qc(
za|PR%Q1yN8c-uAf$Jut%ua$o&cl_wE8wHEUPAwjX@vc~f@}C{Ax+>PKjB{bJa@H5~
zP8022a;iGSUF7||Q$wRR*Fv`#q|u8m?@e(nWb-cQfE~~YJ7E{>hA!xaJ<tQauow1$
z8$95J{cr#d!XfB`!_W^$;3yoU*}U)d<BHyy)Nvt`Isqra4+C%t2H`Z#q=uep{sLm<
Bh~5AI

delta 947
zcmZwEPfXHb7zgmlU!m+*@~4b~9~hE=f?8=>U=~`Tm4$5`+M+UsV=&PsTLr8bzs*^+
z>3rR~b?MN&xYoOBb8R+fhYr^2P+i<?-O>Y>+<?A;x!-Sb_*|aneV^xfpLcQYqi7M5
zFDix$WL;4wBO?a6iW@IffC$7O0V&8p4waw)C2WK3bi7dYJ;1x42<+ez0S0!$E}95b
z=d}t^Fg!IO8S_WEbi5i=pau<1$F*PLgn8f1$S0)!>yhXvx$4mxxyhUscEcX1fxV!E
zeRMLnKUS-j4#q~Kev}PI!h@yiVKQuxYsfF3UPjxE`X?>2(jn5%u_}tNhZRJ6Z|ei5
zzs;3f)x`c#Xlip3x=i$+XH=Vg1esS(!^@tsnfozA(pxs8d1rV&P&V_ahW&lFxCB|L
zHCeyRYKU!wt)gPW#%~lCEGzAYKHOk+(^~`o_k6ni*w{78e<x>mnV=R9P`k_AoD|d>
znm4DtQpqiUFjQO=$z{!Qj#1Wu1rAb1S^pqkydy2nFiq<<&*mzvrH}tN*L=j9Pw*>q
zOKVoTv}XGj6n^lXPP>tQy<#{0;CH<?(4gWh?gnacHyR)D>rmf^#y72kh)(LrX8E^Y
zuR7GUW5dBT@z0UjRfmy|*_=Py_+dJ9)7f{AAK?~OoX`Z#&;p0xFdTtaXoI8B4jpg|
zj)M!_&<Q7?3r@l*@IW{8z-c%GXX(O<_w7?b_e`pn%cT0?9Gr&>&<_{k63wK1RQ(4o
CwvG(|

diff --git a/master/refman/.doctrees/proof-engine/tactics.doctree b/master/refman/.doctrees/proof-engine/tactics.doctree
index 8f45ff29809c4bfd8c021df7ce904e9254987d08..1f5e8be07a4a488ba58690baab7808b324b8c184 100644
GIT binary patch
delta 405
zcmZ4SAz{UbgoYNz7N!>FEi4&lxLJ!*i&IOc^f2d_ZZAH=vRxBJ#Pl1>O=Dz{c1bN(
zAZFVxsl_h4kO!_iF(;?p=`=eKa{w_X5OZyJI?es=0g96CHfwm&XR||fO%IIZRo#Bx
zop-*{bb~cKY^*G4iJ3Xm*SYg5Zl9IKd$^6AH8Cl_sAS6YXWMv{wzqxc{ojr3mhBU2
z`CdmNi%bWKC~jYVov$DpVQ+qE$@GL^ev#=FMf|+mU7Yzv^f4vdfs#Nh0K|eoECj^D
z+bfDhnp=6Gj_6?q`H}sH$aeN0qOzOd)-q-0ZP#BVHgOG#!tH0m#CIB^3Qg<~Ut@$S
K<hfh?ehmP8ADfZ@

delta 375
zcmZ4SAz{UbgoYNz7N!>FEi4&lrVDtouuf;JVG-Hhc!p)ACKBKI8_Q{91ixKfixr63
zwySHg^Dms9m&MCAovDUJxZVFWI}mdKF((jnZTCOT{qO-oe!J%yo~YT(OqqGpYFI?K
z?{??iti;NamYA6{o$-f=@brd{ylmThvUo4HO`kJ?my3rvF(+qA4{Ksleo@Kx;*Y#S
zJqR~!pI6IwHxj|04&)1OUw)mhAR9?AH<+J&dPNaG?{*hwei3~%nRcKI5DNgYAP@@y
zvGDeaB9Z1+u$$Q+Hn+3?5ZTWDLsWJX+~qc_#9G!MtJ!`gOnj#yipazc@ij&$BA&a&
H@7DkT!3=?>

diff --git a/master/refman/.doctrees/proof-engine/vernacular-commands.doctree b/master/refman/.doctrees/proof-engine/vernacular-commands.doctree
index 74db9c0f9a2aa2f13f6e12aaff208f44e27af01d..ed7f31b6ef482afb0798b8def401a5eab2a57cc6 100644
GIT binary patch
delta 300
zcmezJ$oR`6<AyDaOTJBa*I?me?_o`?C@D(ZzVjR7-8?qdqSWHllIe`!S%tT+Pi1n{
zMG@hg%v3Cjs%_#5rX!uxKTKj`hnkaU#C-S}iY{A8mVI3)A|gvzwi^q9t(pS0e@YKi
zX5RL@*I7PIL^5qUP(We(?@ZR?Vo0Lf&o!`inPAhOwUu?EBa+H?_V27f%m&2lK+FNe
boZH#IbKO6N;-3F|xn=!OL`->j?4JSvY3Fxa

delta 319
zcmezJ$oR`6<AyDaOTLM+rdE^`B~IyK$;;16ozlZvlv<oxvVG?_#=Cjb&u6l-Lj@M4
zGWqEu3;dbH)F6sO_rw)UM>^RcCQoNv!Xmsq&xm>3GqCpQ{u(Tj)3p*=c((^ivaITY
z3rcL4TEeo?SP1GKrp!FJYwliW`7{yPyy>s50}cJ1$$DH2S$O;H2G&{=Y$jxFWu54V
pth8O^J1Y>g0Wmuea{w{tc9HK~myRKO^3z^!Ek9%d4IUn!rvT%+e$M~^

diff --git a/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree b/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree
index 4747e0817995d6bb3ed92ec9cfd7d754dec15bbc..f57bc2262fcdd2142db075e3185f4f36ad069860 100644
GIT binary patch
delta 183
zcmdnLOKJZurG_nx6Th&t7Nr)amQ0ym6V9Z%eeV}WmrZO?kyi@Ly4y{bGo9Zv?KB(v
zbZ>uV)$RHz%%|8{S@QDpQm1?PGiz>F&tYD|2a{j5y{4L(PXxwQoeorPxBW{$a}PT&
zSkIIm*3^oUqQv&z>C8aPvb}dY>+wi7h#RI~tYQ}4p8Jt?@=auscFEIh+a*u4t6c&B
Dwfsh{

delta 230
zcmdnLOKJZurG_nx6TfgXW#&!kVJ%86PA!?<5YD8yeeV}Wmrc{(C@^!g!^8vpnH9I2
zEN42uhle$_qNFHsN)K~lPR?|oxWab*6y{UxyfAT=y!^aWkc8rP^&I9Ud>9&*Zm+3k
z<`cmXSC|eo$Zq?We&!xD)7pEdGXpWp_TK5N$0K<_Hp5)JJ>etkf}1Ep?L4R1w)323
HH@*Y_K$cd|

diff --git a/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree b/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree
index 33ff26729f0d82b6cce78e5a495a0f1a125c9881..d6290b2b388690f7658fd4ed307f68de49a22be0 100644
GIT binary patch
delta 68
zcmdlsg?HN&-VGl+d02~5i&IOc^e`vp<ZS-idD|C7r1{D9?N6>V8ofag-L7<mNu&(`
DBw8Kv

delta 68
zcmdlsg?HN&-VGl+d6*M(a;EgK7Nr)amTdmpdD|C7r1{D9?N6>V8ofag-L7<mNu&(`
DA?h9S

diff --git a/master/refman/.doctrees/proofs/writing-proofs/equality.doctree b/master/refman/.doctrees/proofs/writing-proofs/equality.doctree
index f6471fc057029040b839690039f818456eaf4445..e3cf0cf9c8fd7b90e2aa9d3660f9f56a043a55dc 100644
GIT binary patch
delta 738
zcmaF1((J)XvxXMNEllo#(;a5<u(7bDC1!393}pHx%Ep?QlwVXb-6xPqy}crx35c1u
zSERF~w+TaJrt~l;=HyK20cpwE{^>1?iUT&8c1=B2AZ7z%_U)Q_9906?RBhj8$MIer
ztIUoxj>HmnsGZXb)^kW~x46yGw4Mjq8STfqIDwdJ`>`%=)nXCWqSWHlk|{mNO1A(1
z%RQNkgMopO0R*N8)^P}LU(3OB&zu{koGCMJ`hv$iircq4@L0$)s!ab7%d=R_z|>fw
zI5oLgLBl}Lz{tE*2Sk}p*I&Y8F?~-wkMMNQ%^WII^Lb^ao5b^2^P3o&!<CyDnoSqf
z<Q1Lnu!Ki_J5cd#d0fUNOy|*?KD(Z$7>@$m?THOMpG6t>PB)y+BZbW-gXtTl@iZ_-
z<53XMz$3VQ?sT5TOz=RR{g_8>d+scrLJp?=jMG2H@&rydT+H)&dcG~M+;*VTV{I6x
zf=vXAOwZHctz-;G6_B6qs>#d0{m?@mF&QD`V231->GL1+C~fEY$0NqXv>R+i`t<p%
zJX+Hi@Bl;S?_!=+(@Pk6y`~pD1S-45$a|PgEbF5gBSY3&76yhaJ#$8eskS}fXk(nl
hYPJ0>2XDFwqaDNvKs_qcdu@58kp;FtwB=<D2LQcC^eX@W

delta 715
zcmaE`((KtvvxXMNEllo#tSo7XnK{z~)0xz_7Y8!k5S?~_gO$C9H8Cl_sH8nSoe7AU
zw}+>*bhHVBl}_nlPRz-f0#&j7(_0o52W&F!ntH52%m&2l+cot#ssym9+P=+><Gngo
znH^~yi6zLc*{*t<W9oWjk@jO<oIuRA{a6>bYB5NLAL=fk`-)PFQ%ko0|I0m@i-Vbg
zkpTpz2i9>2Z(qy7bI+WcDKihIYI?RWkHYqC4m_5!jB3+A#PTc_Gc>eNC{9f-R?sle
zGcdC#)d5l_meW_p@f;I1wJ?RtnL?xtOh8iJ+t0@Hbjah<+%S#DW%~Mho>)8z^tJ~y
z@Gyxn?w>BF!7GKsDxg7YreD?ImBuZvHyvmW|MuzAc@{Gv2N}exX|s5WIGBzyPX8Fo
z6F6OaG0*GiA2fJXrtga5QJ*fu$m_6u_7a|N*4t$@cvTs<uX@NMCW9@GAclSZ%OlRj
zv=wYv`t<p%JX+KJ*?A<V|6a@^jcRPy^tgvSGTTou@*ZXro9fU5juVEgk7kSvS!-Ds
p7_#)tr%$ZlvD$u{gE!rT(E=O>AU$%^i%Z$1kp;Hjw&i6F2LNjE?6&{_

diff --git a/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree b/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree
index 8e2f3984966f32f0bc7b616fec6759982ef35b26..fae4d497af5328a752bc237e5e1814145d3541e4 100644
GIT binary patch
delta 161
zcmX^5LF?!Tt%erH7N#xC|MYoSi&BeIOQ!TNC+6g|a~UuLG0S!?1J>ztP^H$MVcov=
z4BM|d9@fO9{3581?VG*X*VJ*tgqSk(wr8DUxA#U7*&@neZiOQ9&7UK228u!L$uBsz
KC%@o)bRGbpWIql7

delta 161
zcmX^5LF?!Tt%erH7N#xC|MaH^@UpP7_plbF7N?f9a~UuLG0S!?1J>ztP^H$MVcov=
z4BM|dm~diJeo@Kx&ED*5>bRLQ^QQE$LPWAovD<s2h-?w%Ft<Vx`R31&I0MC?_T(2F
L+ml~#J~|Hoa2`9Z

diff --git a/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree b/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree
index 55e069fe856ddde55cca955c7678f38f775eafe8..74a0aa4113224df009ca57d3c1ef7fd54f3283e0 100644
GIT binary patch
delta 915
zcmcb5F!Soc%!VzDDW2@CMXAN9B~zvg%x9FCZdSy|*FMpcar;D1rkir2P`Mta%)BWR
zN;6cmj!7~wOjitH5^JBD!L)s926LnY4@?nrVopx`uLkDrzZzIh7^4VpKevVDV+^X$
zX+hR_Z&V?(SXQQ8!VvfLfQ*~c!<t%AQj|EIFP%+cd$u?mrvol&#qBG?*`oNTE7%IM
zvO~3P2WtDwEu5H?UsN&$)4+C<Vz%uj#q3A*xM6+(dUX2MZS0EMRTr_J$%luHqZfyG
zJHHSI5OZ$l7vd7$3YX#);Ff52JkGV<@i=#hC5l0fIXntmAMnJloi5kU$j;6V^jJw^
z(e#EK9?|LDu{=EOdFyz#=dI&ip^Md13z_&7w|m{;brnJJ)O4`;o)5e?1yRJe1I2T^
zQG_5$t^D}-1u(>gw`auhy*ZB}-kzYx55xjMEC|FxKrFmHK~H4XTQ+DSSvW^ha=N{V
zn9z1@8PTP@D7vRF)D)B7{##SDLJ@0_gQb^xi;D1r!h-`EvtZGuQKAvaSPaY9C%Q)l
zw_#zoMJ@cWNpA<5+BzSLfq^H*uBjq<M!P-Yz1a4M_u@MX*&xYeI?#*S+no|6p1Yuk
vL@kq8wguJ1zz>r0+qI)5lS;9O@3<h@D~}?+9jN}N9E#9%uo0#FQVD?o_n}7~

delta 858
zcmcb5F!Soc%!VzDDW20WXo|A47Nr)amb4dmGHx&MWcnp1%9NQmr3WH9WkP9&YSuAH
z28QX1AxvWJQ!|*hPt9PClt9+`tATm@uLhPA#z=zO&uwA(7=tWuT97r~8(F|CmX&GO
z^!v8_>^#hgIXN&Zr}L$=DQwRcXXA9hE~&VEML1g&|MY@9F%A}x&h0=QpSe*KCnn_=
zm4HoZHz{V@Zc@yCRF50UU(>g4V^`d+x`_QuKC*E8A3+Wv=G^{AkV|bVl4GaKKjl(r
z_dCwD-S0Sex+NFFsOb$kJc?T%@Wij>WCsRhNn%mSl<9@BJZkNE>v*>3t>ayxi{dhH
zU{7Dj#HYC3>khB02*Mi>!95>%Zwev=w*yt?cq8}_MOJ=%`~s+g!rL?A_}-jH2(~Ba
z@dL2{5DNma5D*J*PtX&Y^%mqFZgyx4PhY4hCcj-<Msz7JLN7${x29-?B8uZ7!3x%~
z)LT>p5(m?ZVtIt7uhSG0+Ws_3G$I+@n2dd*dt`7K6LwqF!Vgn&JJ62S`RFDEo)o*L
zit75n50dij5%0yeN4yu`SqPJZxDzC|-6>JxxeFHYsAUq%wjfymR;(Q@nN*4{xZ{Fk
XuRKC<J5c3MIRt+?SZ67}R6-yCHOezj

diff --git a/master/refman/.doctrees/user-extensions/syntax-extensions.doctree b/master/refman/.doctrees/user-extensions/syntax-extensions.doctree
index a7239b01ac3b77657a638f0d790496244239c1d1..7964321dace1acfb5ea22289f005458ac527a3d9 100644
GIT binary patch
delta 446
zcmbPnwViPW5I1aLwEf4!T9jIxS~8`FIWZ?^dg2B~`Ry717_$>l#JAs%V-i$hhbo=k
zWyYl3F4fEg#LPg<0>rF9%m&2l+ohU0-db_POl8W<n;v+HLw>vAK8}>R$inRlqB((>
zYx{y|Zs)DYGSl<dbIZ5$3i1FkFA(zqG5>a6L4nikD6VRMA|U|8f<P>^{fUHd)Oi$B
zqH;wP+p}H>1F^{VtQVrvuaTwOCtMZ-VsRjr0Ak7Q6D~{5iH3WTbDoT9dxXC9_6U8M
z-*cybXkubxVM$BO+#Y*YMk*KCpzTdovWG0-8gnz{RND)RWw#d;%gvm?2MY(5^2DON
zDbpYFDX6vEvdC|@Wl>n8fMo1v6@@YzQJ89As7;wrnxUG-$I8GkU0+v0ynSk-!uF|&
Hip-q=SdXK7

delta 419
zcmbPnwViPW5I1aLwEZ`|L6wtr`o;=Dk?DCG7=^ZH{A0{cKnQMs6UW4&g5Xb|W5y)d
zF4fEg#LPg<0>rF9%m&2l+ohU0-dasR@Q;@TVq)AS4x#Oa`#4hOA_UvlMsor&*Y>s1
z+-6%5;?rx^a|^Ze3i1FkFA(zqG5>a6L4nik2<zKFN(cb4AP@^}|0p5sdmhPv^jr~<
z_N*7eKrFI7>xHQFYlLL`+{<D>EDppHKrFd^?q#X|XoUQ9sd+LY?GgIY+avU4e$VA%
zNlVPknbO0Yn6o|htc+AHLgn^;E7`3U2>$fCOgWMEf@0b21;uhRCxG3`*27YsSd=$?
xLxrGdyC#eLc1;$A0}5;qL#IFFQ;^usuBwn^gJg=4u7XJW)I^2tQxg@LI|1D<pKSmD

diff --git a/master/refman/.doctrees/using/libraries/funind.doctree b/master/refman/.doctrees/using/libraries/funind.doctree
index b180df53a7d8299e578460a2c705554adf1d9cc2..3645b26d7b45aaab86122692e0f4673415f8f387 100644
GIT binary patch
delta 411
zcmX^3UGm^}$%ZYAWdfosdHH#%Q+im7Qj1edfOKj_Nm1f-#%M;9?fV57qbzus6LWHq
z#YMJTdNOVn#IA8WP-7pa9^vilCNnCku!1d{uJM9Vef#h2j7kPv5W`v05;M1}zhHFu
zA`Eo~vZd`+cbK+U-C-`$MsdsbAM7lfB~gT?1BDc~-%w;JQotf!?!*#Mk45~;L6&u;
zDB|1KnX{I7U~|iKS#vhU?O_e9R>defAmV#JvucZD5f|lV`-A3qpgEl?C`z|)ie}?i
F001_{l-vLS

delta 420
zcmX^3UGm^}$%ZYAWdfqCsTCzfiBo!5^78Xir}VHEr52}_OlOQ{G}*pifHBH~2d02I
zF((HkF0$RylX0^kc8%MC3i>eh2yb6EnNd-N7iJdNvgrmd80EMB-p;6Gz{Zl6n3*$W
z`a*M7sqMBe7`46#L!AY(73Qk;syj^EtL`utX`?u5`ww=O&5|fW(}6;Y+ixhc6e(a4
zFLz=IsK+Ay<si$tQWWv+>&#h8Jg~WCx~w^y;`XoxR;ywZ9T4%opINoVv51Ruv;9GH
SJkXp@6%?i0H$}7YD*yn^dYD@P

diff --git a/master/refman/.doctrees/using/libraries/writing.doctree b/master/refman/.doctrees/using/libraries/writing.doctree
index 368e68282870c5303a003869aea692b69344eaad..38ba38edb55a0eb9b388c56155f5a5f3b3eb5275 100644
GIT binary patch
delta 73
zcmca{g#E@5_J%Eti|d716O;0bN~ZL%lqVMDP3d7y%*ollt)9`#g`2e~wKx?h!<3n~
So%;x*yZ|?{8q+I`%6tGpiyL?V

delta 73
zcmca{g#E@5_J%Eti|d7%6LWH=^spu-<rkGq>0v2PEXv!yt)9`#g_|ie4=7QTTAW(4
Uo%;x*yZ|>uEkup!6-H$~06!HQcmMzZ

diff --git a/master/refman/proof-engine/ltac.html b/master/refman/proof-engine/ltac.html
index 6f8c8c0707..8bfc524353 100644
--- a/master/refman/proof-engine/ltac.html
+++ b/master/refman/proof-engine/ltac.html
@@ -4285,44 +4285,42 @@ <h3>Profiling <code class="docutils literal notranslate"><span class="pre">L</sp
 </span></dt><dd><span>No more goals.
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Show</span><span> </span><span class="coqdoc-keyword">Ltac</span><span> </span><span class="coqdoc-var">Profile</span><span>.</span><span>
-</span></dt><dd><span>total time:      1.785s
+</span></dt><dd><span>total time:      1.078s
 
  tactic                                      local  total   calls       max
 ───────────────────────────────────────────┴──────┴──────┴───────┴─────────┘
-─tac --------------------------------------   0.1% 100.0%       1    1.785s
-─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.5%      26    0.143s
-─&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.5%      26    0.143s
-─&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  97.4%      26    0.143s
-─t_tauto_intuit ---------------------------   0.1%  97.3%      26    0.143s
-─&lt;Corelib.Init.Tauto.simplif&gt; -------------  59.5%  93.9%      26    0.141s
-─&lt;Corelib.Init.Tauto.is_conj&gt; -------------  19.8%  19.8%   28756    0.018s
-─intro ------------------------------------   5.3%   5.3%    1300    0.068s
-─&lt;Corelib.Init.Tauto.not_dep_intros&gt; ------   4.0%   4.0%     676    0.062s
-─elim id ----------------------------------   3.8%   3.8%     650    0.001s
-─&lt;Corelib.Init.Tauto.axioms&gt; --------------   2.4%   3.3%       0    0.007s
-─lia --------------------------------------   0.1%   2.2%      28    0.018s
+─tac --------------------------------------   0.1% 100.0%       1    1.078s
+─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.0%      26    0.101s
+─&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.0%      26    0.101s
+─&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  96.9%      26    0.101s
+─t_tauto_intuit ---------------------------   0.1%  96.8%      26    0.101s
+─&lt;Corelib.Init.Tauto.simplif&gt; -------------  60.8%  93.5%      26    0.100s
+─&lt;Corelib.Init.Tauto.is_conj&gt; -------------  21.1%  21.1%   28756    0.010s
+─intro ------------------------------------   6.5%   6.5%    1300    0.055s
+─&lt;Corelib.Init.Tauto.axioms&gt; --------------   2.3%   3.3%       0    0.003s
+─elim id ----------------------------------   3.3%   3.3%     650    0.001s
+─lia --------------------------------------   0.1%   2.6%      28    0.014s
 
  tactic                                        local  total   calls       max
 ─────────────────────────────────────────────┴──────┴──────┴───────┴─────────┘
-─tac ----------------------------------------   0.1% 100.0%       1    1.785s
- ├─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.5%      26    0.143s
- │└&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.5%      26    0.143s
- │└&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  97.4%      26    0.143s
- │└t_tauto_intuit ---------------------------   0.1%  97.3%      26    0.143s
- │ ├─&lt;Corelib.Init.Tauto.simplif&gt; -----------  59.5%  93.9%      26    0.141s
- │ │ ├─&lt;Corelib.Init.Tauto.is_conj&gt; ---------  19.8%  19.8%   28756    0.018s
- │ │ ├─intro --------------------------------   5.3%   5.3%    1300    0.068s
- │ │ ├─&lt;Corelib.Init.Tauto.not_dep_intros&gt; --   4.0%   4.0%     676    0.062s
- │ │ └─elim id ------------------------------   3.8%   3.8%     650    0.001s
- │ └─&lt;Corelib.Init.Tauto.axioms&gt; ------------   2.4%   3.3%       0    0.007s
- └─lia --------------------------------------   0.1%   2.2%      28    0.018s
+─tac ----------------------------------------   0.1% 100.0%       1    1.078s
+ ├─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.0%      26    0.101s
+ │└&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.0%      26    0.101s
+ │└&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  96.9%      26    0.101s
+ │└t_tauto_intuit ---------------------------   0.1%  96.8%      26    0.101s
+ │ ├─&lt;Corelib.Init.Tauto.simplif&gt; -----------  60.8%  93.5%      26    0.100s
+ │ │ ├─&lt;Corelib.Init.Tauto.is_conj&gt; ---------  21.1%  21.1%   28756    0.010s
+ │ │ ├─intro --------------------------------   6.5%   6.5%    1300    0.055s
+ │ │ └─elim id ------------------------------   3.3%   3.3%     650    0.001s
+ │ └─&lt;Corelib.Init.Tauto.axioms&gt; ------------   2.3%   3.3%       0    0.003s
+ └─lia --------------------------------------   0.1%   2.6%      28    0.014s
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Show</span><span> </span><span class="coqdoc-keyword">Ltac</span><span> </span><span class="coqdoc-var">Profile</span><span> &quot;lia&quot;.</span><span>
-</span></dt><dd><span>total time:      1.785s
+</span></dt><dd><span>total time:      1.078s
 
  tactic  local  total   calls       max
 ───────┴──────┴──────┴───────┴─────────┘
-─lia --   0.1%   2.2%      28    0.018s
+─lia --   0.1%   2.6%      28    0.014s
 
  tactic  local  total   calls       max
 ───────┴──────┴──────┴───────┴─────────┘
diff --git a/master/refman/proofs/writing-proofs/equality.html b/master/refman/proofs/writing-proofs/equality.html
index 7f52c86741..aec3e1d417 100644
--- a/master/refman/proofs/writing-proofs/equality.html
+++ b/master/refman/proofs/writing-proofs/equality.html
@@ -2639,7 +2639,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
   True
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 8) = </span><span class="coqdoc-var">fact</span><span> 8) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.118 secs (0.068u,0.049s) (successful)
+</span></dt><dd><span>Finished transaction in 0.053 secs (0.027u,0.025s) (successful)
 1 goal
   
   H : id (fact 8)</span><span> =</span><span> fact 8
@@ -2647,7 +2647,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
   True
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 9) = </span><span class="coqdoc-var">fact</span><span> 9) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.585 secs (0.58u,0.004s) (successful)
+</span></dt><dd><span>Finished transaction in 0.417 secs (0.416u,0.s) (successful)
 1 goal
   
   H : id (fact 8)</span><span> =</span><span> fact 8
@@ -2675,7 +2675,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
 Timeout!
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 100) = </span><span class="coqdoc-var">fact</span><span> 100) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-var">with_strategy</span><span> -1 [</span><span class="coqdoc-var">id</span><span>] </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.001 secs (0.001u,0.s) (successful)
+</span></dt><dd><span>Finished transaction in 0. secs (0.u,0.s) (successful)
 1 goal
   
   H : id (fact 100)</span><span> =</span><span> fact 100
@@ -2721,7 +2721,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
 </span></dt><dd><span>No more goals.
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-keyword">Defined</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0. secs (0.u,0.s) (successful)
+</span></dt><dd><span>Finished transaction in 0.001 secs (0.001u,0.s) (successful)
 </span></dd>
 </dl>
 </div>
diff --git a/master/refman/searchindex.js b/master/refman/searchindex.js
index 35109818e2..0ae6e6ee92 100644
--- a/master/refman/searchindex.js
+++ b/master/refman/searchindex.js
@@ -1 +1 @@
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71, 72, 73, 74, 75, 76, 77], "wftwolin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "begin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "arrai": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "l": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wse": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wt": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wte": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wteg": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "gamma": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wtm": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "c": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "i": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "cic": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "\u03b2\u03b4\u03b9\u03b6": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "latex": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77], "tac": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "p": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "program": [0, 1, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ssreflect": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "t": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "m": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "x": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "author": [2, 3, 4, 5, 7, 8, 9, 11, 14, 17, 27, 29, 42, 46, 57, 73, 74], "jean": [2, 17, 24, 77], "christoph": [2, 17, 24, 77], "filli\u00e2tr": [2, 17, 24, 77], "pierr": [2, 17, 24, 77], "letouzei": [2, 17, 24, 77], "we": [2, 3, 4, 5, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 38, 39, 40, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "present": [2, 3, 6, 9, 11, 13, 15, 17, 24, 25, 26, 29, 30, 32, 33, 34, 37, 41, 42, 44, 45, 46, 50, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 71, 73, 74, 75, 76], "here": [2, 3, 4, 5, 9, 11, 13, 14, 16, 17, 24, 29, 31, 33, 34, 35, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "command": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 25, 26, 27, 28, 29, 30, 32, 34, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 53, 54, 55, 58, 60, 62, 63, 64, 72, 73, 74], "us": [2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 39, 40, 41, 42, 45, 55, 57, 59, 60, 61, 62, 63, 65, 72, 73, 74, 75, 77], "build": [2, 5, 9, 11, 14, 17, 24, 25, 26, 27, 32, 33, 34, 37, 42, 46, 51, 54, 55, 57, 59, 60, 63, 65, 66, 67, 72, 75, 76, 77], "certifi": [2, 9, 17, 24, 77], "rel": [2, 14, 17, 26, 35, 51, 53, 55, 59, 71], "effici": [2, 11, 12, 13, 17, 25, 29, 36, 57, 60, 64, 77], "function": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 31, 33, 35, 36, 37, 39, 42, 45, 46, 51, 52, 55, 57, 58, 59, 62, 64, 67, 71, 73, 77], "them": [2, 3, 9, 10, 11, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "from": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 36, 37, 38, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75, 77], "either": [2, 5, 8, 11, 14, 17, 26, 28, 29, 31, 34, 35, 36, 37, 39, 40, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "proof": [2, 3, 6, 7, 9, 11, 13, 17, 24, 26, 29, 30, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 51, 52, 53, 55, 59, 61, 62, 64, 67, 72, 73, 74, 75, 76, 77], "specif": [2, 3, 5, 9, 11, 24, 28, 31, 32, 34, 35, 36, 39, 40, 42, 51, 52, 53, 55, 57, 58, 59, 60, 61, 64, 66, 67, 71, 77], "The": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 52, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 72, 73, 74, 76, 77], "avail": [2, 9, 11, 12, 13, 17, 24, 25, 27, 30, 35, 36, 37, 38, 40, 42, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 71, 72, 74, 75, 76, 77], "output": [2, 3, 4, 11, 14, 17, 24, 33, 42, 51, 52, 53, 54, 59, 60, 64, 66, 71, 75], "ar": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 65, 67, 71, 72, 73, 74, 75], "current": [2, 3, 4, 5, 8, 9, 10, 12, 14, 17, 24, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "ocaml": [2, 11, 17, 24, 25, 29, 32, 36, 51, 53, 54, 55, 63, 64, 66, 71, 73, 75], "haskel": [2, 13, 17, 24, 25, 57, 64, 77], "scheme": [2, 11, 17, 24, 25, 26, 27, 34, 37, 40, 46, 51, 57, 59, 62, 77], "follow": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "abus": [2, 55], "refer": [2, 3, 4, 5, 8, 10, 13, 14, 16, 24, 25, 28, 29, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 44, 46, 50, 51, 52, 53, 55, 57, 58, 60, 62, 64, 66, 67, 71, 72, 74, 75], "ani": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "three": [2, 4, 9, 11, 17, 24, 25, 34, 40, 52, 53, 54, 57, 59, 60, 67, 71], "chang": [2, 4, 5, 8, 9, 11, 13, 14, 25, 26, 28, 29, 31, 34, 36, 37, 38, 41, 43, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75], "version": [2, 3, 4, 7, 9, 13, 14, 15, 25, 29, 32, 35, 36, 37, 41, 46, 50, 51, 52, 57, 58, 59, 60, 62, 66, 73, 74, 75, 77], "8": [2, 3, 4, 13, 24, 25, 30, 35, 41, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 71, 75], "11": [2, 24, 25, 34, 53, 57, 60], "befor": [2, 4, 5, 13, 14, 17, 28, 29, 32, 34, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 74, 75], "describ": [2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 24, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71, 72, 75], "thi": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76], "chapter": [2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 24, 26, 27, 29, 31, 32, 33, 34, 38, 40, 42, 45, 52, 54, 55, 57, 58, 59, 61, 63, 65, 71, 72, 73, 75, 76], "framework": [2, 17, 24], "should": [2, 3, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 32, 34, 35, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "first": [2, 4, 5, 6, 8, 9, 11, 13, 14, 15, 17, 24, 25, 26, 27, 35, 37, 38, 40, 41, 42, 43, 44, 51, 52, 53, 55, 58, 59, 60, 62, 64, 65, 66, 67, 71, 72, 74, 75, 77], "load": [2, 3, 5, 6, 7, 11, 17, 24, 25, 27, 29, 34, 35, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "explicitli": [2, 4, 12, 13, 14, 17, 24, 27, 28, 29, 34, 38, 39, 43, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "via": [2, 5, 8, 11, 17, 35, 51, 53, 54, 55, 57, 59, 71, 72], "corelib": [2, 6, 9, 35, 36, 54, 57, 59, 64, 66], "requir": [2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 17, 24, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "file": [2, 3, 5, 6, 7, 8, 9, 11, 17, 24, 25, 27, 29, 34, 35, 41, 54, 55, 57, 60, 64, 71, 72, 73, 76], "coq": [2, 3, 5, 6, 9, 11, 13, 15, 17, 25, 26, 29, 30, 34, 46, 51, 53, 54, 55, 57, 58, 59, 60, 63, 66, 71, 72, 73, 75, 76, 77], "core": [2, 3, 5, 6, 11, 13, 17, 24, 25, 27, 29, 34, 41, 45, 51, 53, 54, 55, 57, 59, 60, 62, 65, 71, 72], "plugin": [2, 3, 5, 6, 11, 12, 17, 24, 25, 29, 33, 34, 35, 53, 54, 55, 57, 59, 60, 63, 66, 71, 72], "done": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 29, 30, 32, 34, 35, 38, 40, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 72, 75], "qualifi": [2, 17, 24, 25, 28, 32, 38, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71], "identifi": [2, 3, 9, 14, 17, 24, 25, 28, 29, 30, 31, 35, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 72, 75], "qualid": [2, 3, 4, 5, 10, 11, 13, 14, 17, 29, 35, 37, 39, 40, 41, 42, 46, 51, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 74], "can": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "kind": [2, 8, 10, 11, 17, 25, 27, 29, 34, 42, 46, 53, 55, 57, 59, 67, 72], "global": [2, 3, 4, 5, 9, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 75], "object": [2, 3, 4, 8, 9, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 35, 37, 38, 39, 40, 41, 42, 44, 51, 53, 55, 57, 59, 64, 67, 71, 72], "constant": [2, 4, 5, 6, 9, 10, 11, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 38, 41, 42, 44, 46, 51, 54, 55, 57, 58, 60, 64, 66, 67, 74], "constructor": [2, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 71, 74], "modul": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 25, 27, 28, 29, 32, 33, 36, 37, 38, 40, 41, 42, 44, 51, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "name": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 67, 71, 72, 74, 75], "recurs": [2, 5, 9, 17, 24, 25, 31, 32, 33, 37, 40, 41, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 75, 77], "string": [2, 11, 13, 14, 17, 25, 29, 40, 51, 53, 54, 55, 57, 59, 64, 66, 74, 75], "two": [2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 31, 34, 36, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75], "form": [2, 3, 4, 5, 6, 7, 9, 11, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 35, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "displai": [2, 9, 12, 14, 16, 17, 25, 35, 37, 41, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66], "term": [2, 3, 4, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 53, 57, 58, 59, 60, 62, 63, 66, 67, 72, 75], "conveni": [2, 4, 6, 12, 17, 24, 28, 29, 33, 34, 35, 44, 46, 52, 53, 54, 57, 66, 67, 71], "preview": [2, 52], "result": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 27, 31, 32, 34, 39, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "second": [2, 3, 4, 8, 9, 10, 11, 13, 15, 17, 24, 25, 26, 28, 35, 37, 38, 40, 42, 44, 51, 52, 53, 55, 57, 59, 60, 64, 66, 67, 71, 75], "all": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73], "depend": [2, 3, 7, 8, 9, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 40, 42, 43, 44, 51, 52, 54, 55, 57, 60, 62, 64, 66, 71, 72, 77], "third": [2, 3, 17, 25, 40, 41, 44, 51, 52, 53, 54, 57, 58, 75], "produc": [2, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 29, 32, 34, 36, 38, 40, 41, 44, 52, 53, 54, 55, 57, 64, 66, 71, 72, 73, 74, 75], "singl": [2, 3, 4, 13, 14, 17, 24, 25, 28, 29, 30, 34, 35, 37, 40, 44, 46, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "specifi": [2, 3, 4, 5, 6, 9, 11, 13, 17, 24, 25, 28, 29, 32, 34, 35, 36, 37, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "local": [2, 3, 4, 5, 9, 13, 17, 24, 25, 26, 28, 30, 31, 32, 34, 41, 42, 52, 55, 59, 62, 64, 66, 67, 75], "renam": [2, 17, 24, 25, 34, 37, 55, 57, 58, 59, 71, 74], "need": [2, 3, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 28, 29, 31, 32, 34, 35, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 76], "fulfil": [2, 17, 67], "syntact": [2, 3, 11, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 35, 37, 39, 41, 57, 58, 59, 64, 66, 71, 74], "keep": [2, 3, 12, 14, 17, 24, 33, 34, 36, 42, 46, 52, 53, 55, 57, 64, 67], "origin": [2, 3, 4, 9, 11, 17, 24, 29, 31, 34, 38, 43, 44, 46, 53, 57, 58, 62, 64, 66, 67, 71], "much": [2, 11, 13, 17, 25, 33, 51, 53, 57, 59, 63, 64, 71], "possibl": [2, 3, 4, 5, 8, 9, 11, 13, 14, 17, 24, 27, 28, 31, 34, 35, 37, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "also": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "work": [2, 3, 4, 5, 9, 10, 12, 13, 17, 24, 25, 26, 27, 32, 35, 41, 42, 43, 46, 51, 52, 54, 55, 57, 58, 59, 64, 67, 71, 74, 77], "directori": [2, 14, 17, 24, 27, 35, 51, 52, 53, 59, 60, 71, 75], "It": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "inspect": [2, 17, 57, 59], "what": [2, 3, 5, 10, 13, 16, 17, 24, 25, 27, 29, 33, 34, 35, 41, 42, 46, 51, 53, 54, 55, 57, 59, 60, 64, 66, 67, 71], "pwd": [2, 14, 59], "cd": [2, 17, 53], "librari": [2, 5, 7, 8, 11, 25, 29, 35, 40, 41, 52, 54, 55, 57, 58, 64, 66, 67, 72, 75], "ident": [2, 3, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 43, 44, 46, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74], "whole": [2, 3, 9, 11, 17, 29, 40, 46, 51, 52, 53, 55, 57, 59, 71, 75], "v": [2, 3, 7, 8, 11, 12, 13, 14, 17, 24, 25, 26, 27, 34, 35, 37, 42, 44, 46, 51, 52, 53, 54, 58, 59, 67, 71, 75], "an": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 58, 60, 62, 63, 64, 66, 71, 72, 74, 75, 77], "clash": [2, 17, 53, 54, 57], "prefix": [2, 3, 9, 11, 14, 17, 24, 27, 28, 34, 35, 38, 40, 41, 42, 44, 51, 52, 54, 57, 58, 59, 64, 66, 67, 71, 75], "coq_": 2, "ensur": [2, 10, 13, 14, 17, 24, 30, 34, 39, 52, 55, 59, 64, 71, 72], "session": [2, 14, 17, 51, 52, 59], "independ": [2, 13, 14, 17, 24, 34, 51, 52, 53, 54, 55, 57, 67], "other": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 67, 71, 72, 76], "separ": [2, 3, 10, 14, 17, 24, 25, 26, 29, 33, 34, 35, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 67, 71, 74], "mention": [2, 3, 14, 17, 24, 26, 34, 39, 44, 46, 51, 54, 57, 58, 60, 64, 66, 71], "just": [2, 3, 4, 8, 9, 11, 13, 17, 24, 28, 31, 34, 35, 37, 41, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "instead": [2, 3, 4, 7, 8, 11, 12, 13, 14, 17, 24, 26, 28, 33, 34, 35, 36, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "one": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 74, 75, 77], "monolith": [2, 17], "split": [2, 17, 25, 29, 34, 42, 51, 54, 57, 58, 60, 66, 67, 75], "per": [2, 3, 11, 17, 24, 52, 53, 57, 59, 71], "correspond": [2, 3, 8, 9, 11, 13, 14, 15, 17, 24, 26, 28, 33, 34, 35, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "henc": [2, 3, 4, 5, 8, 9, 13, 14, 17, 26, 34, 37, 42, 51, 53, 54, 57, 58, 64, 67, 71], "quit": [2, 3, 11, 13, 17, 25, 34, 42, 54, 55, 57, 60], "similar": [2, 3, 5, 9, 13, 17, 24, 26, 34, 35, 37, 38, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72, 74, 75], "except": [2, 3, 4, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 31, 34, 35, 36, 38, 40, 43, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 75], "onli": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "part": [2, 3, 10, 11, 13, 15, 17, 24, 25, 27, 29, 34, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 66, 67, 71, 72, 73, 74], "convent": [2, 17, 25, 33, 42, 51, 57, 59, 71], "same": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "meant": [2, 3, 14, 17, 55, 59, 64], "help": [2, 3, 8, 13, 14, 15, 16, 17, 24, 25, 27, 29, 41, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 67, 75], "automat": [2, 3, 5, 7, 9, 10, 13, 14, 17, 24, 25, 27, 28, 35, 37, 40, 42, 46, 52, 53, 54, 55, 57, 58, 60, 64, 65, 66, 71, 72, 75, 77], "test": [2, 3, 4, 9, 10, 11, 13, 17, 24, 25, 29, 30, 34, 42, 46, 55, 57, 59, 66], "see": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "instanc": [2, 4, 5, 10, 11, 12, 14, 17, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "suit": [2, 17, 53, 57, 58, 63], "sourc": [2, 4, 5, 14, 24, 25, 51, 52, 53, 55, 57, 59, 71, 73], "testcompil": [2, 17], "temporari": [2, 14, 17, 24, 57], "Then": [2, 4, 5, 11, 14, 17, 24, 26, 27, 29, 32, 34, 41, 42, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 74, 75], "its": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "signatur": [2, 3, 11, 17, 24, 34, 35, 54, 55, 59], "compil": [2, 3, 8, 9, 10, 11, 12, 24, 25, 26, 27, 29, 32, 35, 36, 38, 46, 55, 57, 64, 73, 74, 75, 77], "built": [2, 4, 11, 17, 24, 25, 26, 31, 32, 34, 37, 41, 42, 52, 53, 54, 58, 60, 61, 62, 67, 71, 72], "succe": [2, 3, 13, 17, 25, 44, 46, 51, 55, 57, 58, 59, 60, 62, 64, 66], "fail": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "show": [2, 3, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 27, 34, 35, 37, 38, 42, 51, 52, 53, 54, 57, 58, 59, 60, 64, 67, 71], "where": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 29, 30, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "deprec": [2, 4, 13, 17, 25, 28, 29, 32, 35, 41, 51, 55, 58, 59, 60, 64, 66, 71, 72], "sinc": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 28, 30, 34, 35, 37, 41, 42, 44, 46, 51, 52, 53, 54, 57, 58, 59, 60, 66, 67, 71, 74, 75], "20": [2, 3, 25, 46, 57, 67, 77], "line": [2, 8, 10, 12, 14, 24, 25, 29, 42, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71], "If": [2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 17, 26, 28, 29, 30, 32, 34, 35, 37, 38, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "accord": [2, 11, 17, 26, 34, 35, 41, 51, 53, 55, 57, 59, 60, 64, 71], "which": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 75], "valid": [2, 3, 4, 5, 8, 10, 11, 14, 17, 25, 26, 29, 32, 34, 35, 40, 42, 51, 54, 55, 57, 58, 59, 66, 71, 72], "path": [2, 4, 5, 17, 24, 25, 35, 51, 52, 54, 60], "otherwis": [2, 3, 9, 13, 14, 17, 28, 29, 34, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 73], "doe": [2, 3, 4, 5, 8, 9, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 38, 39, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "json": [2, 17, 51, 53, 59], "abil": [2, 3, 11, 12, 13, 17, 30, 52], "most": [2, 3, 4, 10, 12, 17, 24, 27, 29, 34, 38, 41, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 63, 64, 66, 67, 71, 72, 73], "import": [2, 3, 4, 5, 7, 9, 11, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 40, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "default": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "mostli": [2, 3, 17, 24, 52, 57, 60], "develop": [2, 3, 12, 13, 14, 17, 24, 25, 27, 32, 35, 42, 44, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 74, 77], "debug": [2, 5, 9, 13, 14, 17, 24, 25, 28, 52, 53, 57, 58, 60, 62, 64, 66, 72], "contain": [2, 5, 7, 8, 10, 13, 14, 15, 17, 24, 27, 29, 30, 31, 34, 35, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "raw": [2, 14, 17, 54, 55, 71], "intermediari": [2, 64], "strict": [2, 5, 13, 14, 17, 24, 25, 31, 39, 41, 42, 54, 57, 58, 59, 60, 66, 71], "ha": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74], "order": [2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 32, 34, 35, 37, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 60, 61, 62, 64, 66, 67, 71, 72, 75, 77], "when": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 51, 52, 53, 54, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "principl": [2, 5, 17, 24, 25, 27, 30, 34, 37, 51, 57, 58, 63, 64, 71, 77], "do": [2, 3, 4, 7, 8, 10, 13, 14, 17, 24, 25, 29, 31, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "want": [2, 11, 13, 17, 34, 35, 36, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74], "comput": [2, 3, 7, 9, 11, 17, 24, 25, 29, 30, 32, 34, 35, 36, 37, 41, 42, 46, 51, 52, 55, 57, 59, 67, 71, 72, 77], "call": [2, 3, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 39, 40, 42, 44, 45, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72], "ones": [2, 3, 4, 6, 8, 13, 14, 17, 25, 28, 34, 35, 37, 44, 46, 52, 53, 54, 57, 58, 59, 63, 66, 67, 71, 75], "so": [2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 29, 31, 32, 34, 35, 36, 37, 38, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74, 75], "mechan": [2, 3, 4, 9, 10, 13, 17, 24, 25, 29, 34, 38, 41, 46, 51, 52, 53, 55, 59, 64, 65, 66, 71, 72, 77], "provid": [2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 24, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "routin": 2, "each": [2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 26, 29, 30, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "time": [2, 3, 5, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 36, 37, 41, 42, 44, 46, 52, 55, 57, 58, 59, 64, 66, 67, 71], "group": [2, 4, 17, 24, 37, 42, 52, 53, 54, 57, 58, 60], "preserv": [2, 5, 14, 17, 24, 25, 29, 30, 34, 42, 55, 57, 64, 67, 71], "essenti": [2, 17, 25, 34, 55, 57, 67, 71], "reduct": [2, 3, 9, 10, 11, 12, 17, 25, 26, 30, 32, 36, 41, 44, 46, 51, 53, 57, 58, 67, 77], "non": [2, 3, 4, 6, 8, 9, 10, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 35, 37, 40, 41, 46, 51, 52, 53, 57, 59, 60, 62, 64, 66, 72, 75], "abstract": [2, 4, 5, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 34, 35, 38, 42, 44, 54, 55, 58, 59, 64, 67, 71], "dummi": [2, 14, 17, 24, 55, 77], "remov": [2, 3, 4, 5, 11, 14, 17, 24, 29, 31, 37, 41, 46, 51, 52, 53, 55, 57, 58, 59, 60, 66, 67, 71, 72, 74, 75], "deem": [2, 51], "safe": [2, 11, 17, 34], "have": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "more": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "eleg": [2, 55, 59], "therefor": [2, 17, 29, 31, 37, 52, 53, 57, 58, 62, 72, 73], "mai": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75, 77], "appear": [2, 6, 9, 10, 11, 13, 14, 17, 24, 28, 29, 31, 34, 35, 37, 38, 39, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "modular": [2, 17, 24], "nevertheless": [2, 17], "print": [2, 5, 6, 8, 11, 12, 13, 17, 24, 25, 27, 29, 31, 34, 35, 36, 38, 39, 41, 42, 51, 52, 53, 57, 58, 60, 62, 64, 66, 67, 74], "concern": [2, 12, 17, 24, 26], "less": [2, 4, 8, 11, 14, 17, 24, 34, 46, 51, 53, 54, 55, 57, 59, 60, 64, 71, 77], "becaus": [2, 3, 4, 8, 11, 12, 14, 17, 24, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40, 41, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "lazi": [2, 8, 9, 12, 17, 24, 55, 64], "still": [2, 3, 7, 9, 10, 13, 17, 24, 29, 32, 34, 36, 37, 38, 42, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 74], "make": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "readabl": [2, 17, 24, 29, 53, 57, 64, 71, 75], "control": [2, 3, 13, 14, 16, 17, 24, 25, 34, 37, 41, 51, 52, 53, 55, 60, 62, 67, 71, 75], "flag": [2, 4, 5, 8, 9, 10, 12, 13, 14, 16, 24, 25, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71], "made": [2, 3, 14, 17, 24, 29, 34, 35, 38, 41, 46, 51, 53, 54, 55, 57, 58, 64, 66, 71, 72, 75], "beta": [2, 11, 17, 24, 55, 57, 58, 64, 71, 77], "redex": [2, 17, 25, 31, 34, 64, 71], "simplif": [2, 11, 17, 24, 25, 41, 54, 67], "etc": [2, 4, 9, 14, 17, 24, 25, 26, 27, 33, 35, 42, 44, 45, 51, 52, 53, 54, 55, 57, 59, 71, 75], "turn": [2, 8, 10, 12, 13, 14, 17, 24, 27, 29, 32, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "off": [2, 8, 10, 12, 13, 14, 17, 24, 29, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71], "you": [2, 3, 4, 7, 8, 10, 11, 13, 14, 15, 16, 17, 24, 25, 27, 29, 32, 34, 35, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "close": [2, 3, 4, 5, 7, 9, 11, 14, 17, 24, 28, 29, 32, 34, 35, 38, 44, 51, 52, 55, 57, 59, 60, 64, 66, 67, 71, 75], "conserv": [2, 17], "try": [2, 3, 11, 14, 17, 24, 25, 34, 35, 40, 41, 43, 46, 53, 55, 57, 60, 62, 64, 66, 67, 71], "sure": [2, 4, 17, 35, 52, 53, 58, 71], "impli": [2, 3, 10, 14, 17, 24, 30, 34, 57, 67, 71], "respect": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 34, 38, 40, 42, 44, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "keepsingleton": [2, 17], "normal": [2, 3, 4, 5, 11, 17, 24, 26, 29, 30, 31, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 64, 66, 67, 71, 72, 77], "singleton": [2, 13, 17, 24, 34, 54, 58], "structur": [2, 3, 4, 8, 9, 13, 17, 24, 25, 32, 34, 35, 36, 37, 38, 40, 44, 45, 53, 54, 58, 59, 66, 67, 71, 72, 77], "seen": [2, 4, 13, 14, 17, 24, 32, 34, 55, 57, 67, 71], "alia": [2, 17, 24, 29, 35, 46, 55, 58], "inner": [2, 14, 17, 35, 42, 43, 54, 55, 57, 59, 62, 64, 66, 67, 71, 75], "typic": [2, 4, 6, 12, 14, 17, 24, 28, 29, 30, 34, 35, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 67, 71], "sig": [2, 17, 27, 28, 35, 67, 71], "allow": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72], "disabl": [2, 8, 9, 12, 13, 14, 17, 25, 28, 32, 34, 35, 37, 44, 51, 52, 54, 57, 59, 64, 66], "wish": [2, 5, 17, 53], "autoinlin": [2, 17], "enabl": [2, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 25, 29, 34, 37, 42, 51, 52, 53, 54, 57, 58, 59, 60, 67, 75], "bodi": [2, 4, 6, 13, 14, 17, 24, 32, 35, 37, 38, 41, 42, 44, 51, 55, 57, 58, 59, 64, 72, 75], "defin": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 62, 64, 66, 67, 71, 72, 74, 77], "heurist": [2, 5, 14, 17, 55, 57, 58, 66], "like": [2, 4, 8, 9, 10, 11, 13, 14, 17, 24, 26, 27, 29, 32, 34, 35, 38, 39, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "size": [2, 3, 9, 13, 17, 24, 34, 37, 51, 52, 55, 57, 59, 64, 71, 72], "recursor": [2, 17], "_rect": [2, 17, 34, 35, 40, 71, 72], "_rec": [2, 34, 35, 40, 71, 72], "nat_rect": [2, 27, 34, 59], "project": [2, 3, 9, 10, 12, 13, 14, 15, 17, 24, 25, 27, 29, 30, 34, 40, 41, 42, 51, 52, 54, 55, 57, 59, 60, 64, 72, 73, 74, 76], "few": [2, 3, 17, 24, 27, 29, 34, 35, 36, 37, 51, 52, 53, 55, 57, 58, 71, 73, 75], "andb": [2, 13, 17, 27, 62], "orb": [2, 27, 57, 62], "behaviour": [2, 17, 38, 53], "well": [2, 3, 4, 8, 9, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 31, 32, 33, 35, 37, 39, 43, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 67, 71, 72, 74, 75], "found": [2, 4, 5, 9, 11, 13, 17, 25, 29, 30, 34, 35, 36, 38, 39, 42, 46, 51, 54, 55, 57, 58, 59, 62, 64, 67, 71, 72, 75], "combin": [2, 3, 5, 9, 12, 14, 17, 24, 25, 26, 27, 29, 34, 37, 40, 42, 46, 52, 53, 54, 55, 57, 59, 63, 64, 75], "featur": [2, 3, 8, 11, 17, 24, 25, 29, 32, 33, 35, 36, 44, 46, 51, 52, 53, 54, 55, 57, 59, 66, 71, 72, 73, 74, 76], "alwai": [2, 3, 4, 6, 9, 10, 11, 12, 13, 14, 17, 24, 26, 34, 35, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 71, 74, 75], "dure": [2, 9, 11, 13, 14, 17, 24, 25, 37, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "noinlin": 2, "convers": [2, 3, 7, 8, 9, 11, 12, 13, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 54, 55, 57, 58, 60, 66, 71, 75], "never": [2, 13, 14, 17, 24, 35, 41, 42, 44, 51, 54, 55, 57, 58, 60, 64], "state": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 27, 29, 31, 32, 37, 51, 52, 54, 55, 57, 58, 59, 62, 64, 67, 71], "tabl": [2, 3, 4, 16, 17, 24, 25, 27, 35, 37, 38, 46, 51, 53, 54, 55, 57, 59, 67, 71, 75], "record": [2, 3, 8, 10, 11, 12, 13, 14, 17, 24, 25, 30, 33, 34, 42, 54, 55, 57, 59, 60, 62, 67, 71], "custom": [2, 3, 11, 13, 17, 24, 25, 29, 36, 53, 54, 57, 59], "declar": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 43, 46, 51, 53, 54, 58, 59, 60, 64, 71, 72, 75], "previou": [2, 3, 4, 8, 9, 11, 13, 15, 17, 24, 27, 29, 31, 34, 37, 40, 41, 42, 45, 46, 51, 52, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 74], "reset": [2, 17, 24, 29, 30, 34, 40, 41, 46, 51, 52, 54, 59, 72], "empti": [2, 3, 5, 7, 12, 13, 17, 24, 26, 34, 40, 43, 51, 53, 55, 57, 58, 59, 60, 67, 71, 72], "ask": [2, 3, 17, 25, 42, 43, 53], "mean": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 59, 64, 65, 66, 71], "both": [2, 3, 4, 11, 14, 17, 24, 25, 26, 27, 28, 29, 31, 34, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 61, 64, 66, 67, 73, 74], "But": [2, 11, 17, 34, 39, 41, 46, 51, 53, 54, 64, 75], "For": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "reason": [2, 3, 5, 9, 10, 11, 17, 24, 25, 34, 44, 51, 53, 54, 55, 57, 59, 62, 65, 71, 72, 75, 77], "decis": [2, 17, 24, 25, 58, 62, 64, 77], "taken": [2, 9, 13, 17, 24, 34, 36, 42, 44, 53, 57, 64, 67, 71], "whether": [2, 3, 9, 10, 12, 13, 14, 17, 29, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 62, 64, 66, 71, 75], "occurr": [2, 3, 11, 14, 17, 24, 25, 26, 43, 44, 46, 52, 54, 55, 59, 60, 64, 71], "replac": [2, 3, 4, 7, 9, 10, 11, 17, 24, 25, 28, 31, 32, 34, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 74, 75], "manual": [2, 11, 24, 25, 29, 50, 52, 53, 57, 60, 66, 67, 71], "perform": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 26, 34, 41, 42, 46, 51, 54, 55, 57, 60, 62, 64, 66, 67, 71, 72], "wai": [2, 3, 5, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75], "complementari": [2, 17, 24, 42, 57], "main": [2, 8, 9, 11, 13, 17, 25, 27, 29, 34, 40, 41, 52, 53, 54, 55, 57, 60, 64, 71], "logic": [2, 3, 9, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 34, 35, 39, 51, 57, 58, 59, 61, 66, 67, 75, 77], "implicit": [2, 3, 5, 9, 13, 17, 24, 25, 28, 33, 34, 37, 38, 42, 43, 45, 51, 53, 55, 57, 58, 59, 66, 67, 75], "integ": [2, 3, 7, 11, 14, 17, 24, 25, 29, 34, 39, 52, 53, 54, 55, 57, 59, 60, 64, 66], "thei": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 73, 74, 75], "omit": [2, 3, 8, 14, 17, 27, 28, 29, 30, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 75], "position": [2, 58], "start": [2, 3, 6, 8, 9, 13, 17, 24, 25, 26, 27, 29, 32, 34, 35, 37, 40, 41, 42, 44, 46, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 74, 75], "actual": [2, 3, 5, 8, 11, 14, 17, 24, 34, 37, 42, 43, 44, 46, 54, 55, 57, 60, 64, 67, 71, 72], "take": [2, 3, 5, 8, 11, 12, 13, 17, 24, 26, 28, 29, 31, 32, 37, 40, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71, 75], "place": [2, 3, 17, 32, 40, 43, 51, 53, 57, 58, 59, 64, 66, 67, 71, 75], "error": [2, 3, 4, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "rais": [2, 3, 10, 13, 17, 29, 35, 54, 55, 64, 72], "cannot": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 26, 28, 29, 32, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "honor": [2, 17, 51, 57, 71], "occur": [2, 3, 4, 8, 17, 24, 26, 28, 30, 34, 37, 38, 41, 42, 44, 46, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "final": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 29, 35, 40, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 75], "behavior": [2, 3, 4, 11, 13, 14, 17, 24, 29, 30, 32, 34, 41, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 75], "relax": [2, 17, 30, 44, 53, 57, 60], "safeimplicit": 2, "warn": [2, 3, 4, 10, 12, 13, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 62, 66, 71, 72], "emit": [2, 10, 12, 13, 17, 34, 53, 71, 74], "obtain": [2, 3, 4, 5, 17, 34, 36, 54, 55, 57, 58, 64, 67, 72, 75], "nonetheless": [2, 17, 30, 32, 36, 51, 66], "review": [2, 17, 27], "locat": [2, 17, 24, 25, 35, 51, 52, 53, 54, 55], "issu": [2, 3, 24, 25, 46, 52, 54, 55, 58, 64, 66, 71, 73], "comment": [2, 5, 17, 24, 25, 29, 52, 54, 57, 60, 66, 75], "mark": [2, 12, 17, 24, 31, 35, 37, 38, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71], "remain": [2, 3, 9, 11, 13, 14, 17, 24, 34, 36, 39, 41, 42, 44, 46, 52, 57, 58, 64, 66], "note": [2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 77], "might": [2, 3, 5, 13, 17, 46, 51, 53, 55, 57, 62, 64, 67, 71, 72, 75], "run": [2, 5, 8, 9, 13, 14, 17, 24, 25, 29, 51, 53, 57, 59, 60, 64, 66, 71, 73], "properli": [2, 8, 9, 10, 17, 29, 52, 53, 57, 59, 66], "encount": [2, 11, 17, 52, 53, 54, 64], "inform": [2, 3, 4, 10, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 37, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 72, 75, 77], "remind": [2, 3, 57], "inconsist": [2, 8, 10, 12, 14, 17, 24, 26, 34, 39, 44, 51, 59, 66, 67, 71], "lead": [2, 10, 14, 17, 24, 26, 29, 34, 39, 57, 58, 60, 64, 71, 74, 75], "incorrect": [2, 8, 12, 14, 17, 25, 34, 37, 46, 52, 57, 66], "termin": [2, 9, 17, 24, 25, 27, 29, 30, 32, 34, 35, 38, 51, 52, 55, 59, 60, 66, 71, 72], "assum": [2, 3, 5, 11, 13, 17, 26, 27, 28, 32, 34, 35, 36, 38, 39, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71, 75], "while": [2, 3, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73], "proposit": [2, 3, 5, 10, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 39, 40, 51, 57, 58, 62, 64, 66, 67, 77], "perfectli": 2, "content": [2, 17, 24, 27, 32, 35, 42, 51, 52, 53, 54, 57, 59, 66, 71, 75], "must": [2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 37, 39, 40, 41, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "cours": [2, 14, 17, 24, 42, 51, 52, 57, 64, 71], "guess": [2, 4, 11, 17, 32, 43, 53, 57, 67], "tell": [2, 3, 11, 17, 24, 34, 41, 42, 44, 46, 51, 55, 57, 60, 64, 67, 71, 75], "given": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "tv": 2, "give": [2, 3, 4, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 40, 41, 42, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 75], "ariti": [2, 17, 24, 25, 46, 55], "sequenc": [2, 3, 5, 17, 24, 25, 28, 29, 30, 46, 51, 57, 58, 59, 60, 64, 66, 71, 75], "product": [2, 3, 5, 10, 11, 13, 14, 17, 24, 26, 27, 28, 34, 36, 39, 40, 46, 54, 55, 57, 59, 60, 64, 66, 67, 71], "variabl": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 45, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 75], "quot": [2, 5, 13, 17, 24, 25, 28, 29, 44, 51, 55, 59, 66, 71, 75], "number": [2, 3, 4, 5, 7, 8, 11, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 36, 37, 39, 40, 41, 42, 43, 44, 46, 52, 53, 55, 57, 58, 59, 62, 64, 66, 67, 72, 74, 77], "check": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "y": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 77], "b": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 77], "recogn": [2, 4, 5, 8, 11, 17, 24, 29, 34, 46, 51, 52, 55, 62, 67, 71, 75], "becom": [2, 8, 11, 17, 24, 26, 28, 34, 35, 40, 44, 46, 52, 53, 55, 57, 58, 59, 64, 66, 67, 71], "int": [2, 3, 17, 36, 55, 71, 75], "0": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 41, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75, 77], "respons": [2, 10, 17, 52, 55, 75], "expect": [2, 3, 4, 11, 12, 14, 17, 24, 26, 29, 31, 32, 33, 34, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 60, 64, 67, 71], "fact": [2, 5, 11, 14, 17, 24, 28, 32, 34, 39, 41, 42, 46, 54, 55, 57, 58, 62, 64, 66, 67, 71, 75], "copi": [2, 17, 36, 46, 52, 53, 54, 57, 59, 75], "everywher": [2, 17, 55, 58, 64], "being": [2, 3, 9, 11, 12, 13, 14, 17, 24, 32, 33, 34, 35, 37, 38, 40, 42, 46, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 72, 75], "sugar": [2, 7, 17, 28, 54, 55, 59, 77], "effect": [2, 3, 9, 11, 13, 14, 17, 24, 25, 29, 30, 34, 35, 38, 43, 51, 52, 53, 54, 57, 59, 64, 66, 71, 75], "alreadi": [2, 4, 13, 17, 24, 27, 28, 32, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 73], "foreign": [2, 17], "wa": [2, 3, 10, 11, 12, 17, 24, 27, 28, 29, 32, 34, 35, 37, 38, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72], "previous": [2, 13, 17, 28, 34, 38, 52, 54, 57, 59, 71], "would": [2, 3, 4, 11, 14, 17, 28, 29, 30, 31, 32, 34, 37, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "overrid": [2, 14, 17, 37, 51, 53, 57, 66, 67, 71], "been": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 73, 74], "definit": [2, 4, 8, 10, 11, 13, 17, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 38, 41, 42, 43, 44, 51, 53, 58, 59, 60, 62, 66, 67, 72, 73, 74, 75, 77], "fill": [2, 9, 13, 17, 25, 52, 55, 57, 62, 71], "label": [2, 8, 14, 17, 29, 54, 59], "TO": 2, "BE": 2, "search": [2, 4, 5, 7, 13, 17, 24, 25, 42, 44, 51, 52, 53, 61, 62, 64], "insid": [2, 3, 4, 8, 9, 13, 14, 17, 24, 25, 28, 29, 34, 35, 38, 46, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "real": [2, 3, 7, 11, 24, 25, 34, 46, 53, 55, 66, 67, 71], "nativ": [2, 5, 10, 12, 24, 25, 36, 51, 55, 58, 59, 64], "boolean": [2, 5, 9, 11, 13, 14, 17, 24, 25, 27, 29, 34, 37, 39, 40, 42, 55, 59, 60, 62, 64, 67, 71], "syntax": [2, 4, 5, 6, 8, 9, 11, 13, 14, 25, 26, 27, 30, 32, 34, 35, 37, 39, 40, 41, 42, 43, 45, 51, 52, 53, 58, 59, 60, 63, 64, 66, 75, 77], "itself": [2, 3, 8, 9, 11, 12, 13, 14, 17, 30, 34, 39, 40, 41, 42, 43, 44, 51, 53, 54, 55, 57, 58, 60, 63, 64, 67, 71], "initi": [2, 6, 7, 11, 13, 17, 24, 27, 29, 38, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "datatyp": [2, 17, 24, 25, 26, 35, 44, 46, 54, 55, 57, 59, 60, 67, 71], "pattern": [2, 9, 13, 17, 24, 25, 27, 28, 30, 32, 34, 40, 41, 42, 45, 60, 64, 67, 72, 77], "charact": [2, 8, 10, 13, 14, 17, 24, 25, 27, 29, 35, 36, 40, 44, 46, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "char": [2, 17, 53], "prelud": [2, 17, 25, 29, 51, 59, 66], "liter": [2, 5, 17, 29, 36, 42, 54, 55, 57, 71], "handl": [2, 3, 8, 9, 11, 17, 24, 26, 37, 43, 46, 53, 55, 57, 58, 59, 61, 62, 66, 67, 71], "special": [2, 3, 4, 9, 12, 13, 16, 17, 24, 25, 27, 28, 29, 34, 51, 52, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "design": [2, 8, 11, 17, 24, 25, 37, 44, 57, 64, 71, 77], "regist": [2, 3, 4, 5, 7, 9, 11, 13, 17, 25, 32, 42, 57, 64, 67, 71, 72], "standard": [2, 3, 5, 9, 14, 25, 27, 29, 35, 36, 40, 51, 52, 53, 54, 58, 59, 62, 64, 65, 66, 67, 72, 73, 74, 75], "indic": [2, 8, 11, 12, 13, 14, 17, 24, 26, 31, 34, 35, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 62, 64, 66, 67, 71], "how": [2, 7, 8, 13, 17, 24, 25, 27, 29, 30, 34, 35, 37, 42, 43, 45, 51, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 74, 77], "over": [2, 3, 11, 14, 17, 24, 25, 26, 27, 28, 30, 32, 34, 37, 38, 39, 40, 41, 42, 44, 46, 52, 53, 54, 58, 59, 60, 61, 62, 64, 66, 67], "could": [2, 3, 4, 5, 6, 11, 12, 17, 24, 29, 31, 34, 37, 42, 46, 51, 52, 55, 57, 58, 60, 62, 66, 71, 72, 73], "arbitrari": [2, 3, 5, 10, 11, 14, 17, 24, 31, 44, 46, 53, 57, 60, 62, 71], "k": [2, 3, 6, 14, 17, 24, 26, 34, 42, 54, 57, 67, 72, 77], "emul": [2, 12, 17, 40, 57], "branch": [2, 5, 9, 17, 25, 34, 40, 45, 46, 55, 59, 60, 66, 67, 72], "element": [2, 3, 11, 12, 17, 25, 26, 27, 34, 35, 36, 46, 57, 59, 60, 71], "destruct": [2, 13, 17, 24, 25, 34, 54, 55, 57, 58, 64, 71], "foo": [2, 11, 14, 17, 29, 35, 38, 40, 43, 51, 52, 53, 55, 57, 58, 59, 64, 66, 71, 74, 75], "fun": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 75], "consid": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 34, 37, 41, 42, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 73, 75], "unit": [2, 12, 13, 14, 17, 27, 34, 40, 46, 53, 54, 55, 57, 62, 64, 71], "block": [2, 9, 10, 14, 17, 25, 29, 30, 34, 37, 38, 44, 46, 54, 64, 65, 67], "earli": [2, 15, 17, 25, 26, 54, 64], "evalu": [2, 3, 9, 11, 17, 24, 25, 28, 30, 34, 35, 41, 53, 57, 60, 64, 71], "bar": [2, 8, 14, 17, 29, 35, 51, 52, 53, 55, 57, 64, 66, 71, 74], "As": [2, 3, 5, 6, 9, 10, 11, 13, 14, 17, 26, 28, 30, 34, 36, 37, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72], "care": [2, 13, 14, 17, 46, 53, 54, 64, 67, 71, 75], "pre": [2, 17, 25, 53, 60], "sound": [2, 17, 34], "ad": [2, 4, 9, 13, 14, 17, 24, 25, 29, 34, 37, 42, 44, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 77], "hoc": [2, 3, 17, 71, 77], "often": [2, 3, 10, 13, 14, 17, 25, 28, 43, 46, 52, 53, 54, 55, 57, 58, 66], "fulli": [2, 3, 8, 17, 24, 26, 28, 31, 32, 35, 38, 44, 51, 52, 53, 54, 55, 58, 59, 64, 66, 71, 72], "rigor": [2, 24], "correct": [2, 8, 9, 11, 17, 24, 25, 28, 32, 35, 46, 51, 53, 57, 59, 64, 66, 67, 71], "theoret": [2, 17, 24, 31, 39, 77], "valu": [2, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 42, 43, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "larger": [2, 13, 14, 17, 25, 51, 52, 57, 60, 71, 75], "than": [2, 3, 5, 8, 11, 12, 13, 14, 17, 24, 29, 30, 31, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "max_int": 2, "overflow": [2, 17, 59, 66, 71], "bad": [2, 11, 12, 14, 17, 34, 59, 64], "event": [2, 17, 51], "practic": [2, 3, 5, 17, 24, 25, 32, 34, 39, 42, 53, 55, 57, 58, 64, 66, 71, 74, 77], "translat": [2, 3, 17, 24, 25, 33, 41, 45, 57, 71, 75], "magic": [2, 17, 24, 55, 59], "improv": [2, 3, 8, 11, 17, 24, 29, 52, 54, 57, 67], "asymptot": [2, 59], "complex": [2, 11, 17, 24, 25, 29, 33, 35, 52, 54, 55, 57, 59, 61, 63, 66, 67], "represent": [2, 3, 5, 11, 12, 17, 24, 29, 34, 37, 51, 53, 57, 64, 71], "mul": [2, 5, 17, 36, 52, 57, 59, 71], "stai": [2, 27], "quadrat": [2, 17], "interest": [2, 4, 5, 11, 17, 24, 31, 42, 54, 57, 67], "associ": [2, 3, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67], "primit": [2, 10, 12, 13, 14, 17, 24, 25, 27, 30, 33, 34, 41, 46, 54, 55, 57, 64, 67], "counterpart": [2, 3, 9, 11, 17, 30, 34, 57], "bool": [2, 3, 4, 5, 12, 13, 17, 24, 27, 30, 35, 36, 37, 40, 41, 42, 44, 46, 55, 57, 58, 59, 60, 71], "true": [2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 17, 24, 26, 27, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 62, 64, 67, 71, 74], "fals": [2, 4, 5, 9, 10, 12, 13, 17, 24, 27, 34, 37, 40, 41, 46, 51, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71], "sumbool": [2, 27, 46, 71], "enclos": [2, 29, 41, 53, 54, 55, 66, 71, 75], "parenthes": [2, 3, 8, 17, 24, 28, 29, 35, 37, 46, 54, 55, 57, 58, 67, 71], "meet": [2, 9, 71], "lexic": [2, 17, 25, 51, 59, 71, 75], "criteria": [2, 17, 72], "infix": [2, 14, 17, 24, 25, 27, 42, 57, 58, 64, 74], "symbol": [2, 3, 11, 14, 17, 24, 25, 27, 28, 29, 31, 41, 42, 43, 46, 57, 59, 60, 62, 64, 67, 71, 75, 77], "rest": [2, 3, 13, 17, 26, 29, 36, 42, 52, 57, 66], "prod": [2, 17, 26, 27, 34, 46, 62, 67], "caveat": [2, 17, 25, 55, 57, 60], "abov": [2, 3, 5, 11, 13, 14, 17, 24, 28, 30, 34, 37, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 75], "succ": [2, 24, 54, 59, 64], "fo": 2, "els": [2, 4, 9, 11, 12, 13, 17, 29, 30, 35, 40, 41, 46, 52, 54, 55, 57, 59, 62, 67, 71, 75], "interfac": [2, 17, 24, 25, 35, 52, 53, 66, 74, 75, 76], "link": [2, 16, 17, 24, 27, 46, 51, 53, 57, 72, 75], "linker": [2, 24], "know": [2, 8, 17, 24, 27, 32, 34, 42, 46, 52, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71], "extern": [2, 5, 11, 13, 17, 29, 33, 52, 54, 55, 59, 60, 63, 66, 73, 74, 75], "shall": [2, 17, 24, 26, 31, 34, 39, 42, 57, 71], "access": [2, 5, 14, 17, 24, 25, 28, 32, 33, 34, 35, 36, 38, 44, 51, 52, 53, 55, 57, 59, 71], "callback": [2, 17], "referenc": [2, 17, 53, 71], "stdlib": [2, 3, 5, 7, 9, 11, 12, 14, 17, 27, 28, 29, 35, 51, 53, 54, 55, 57, 59, 60, 64, 67, 72, 75], "f_impl": 2, "compat": [2, 3, 4, 13, 14, 24, 25, 29, 34, 42, 51, 52, 53, 58, 62, 63, 64, 71], "support": [2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 17, 24, 25, 30, 32, 34, 35, 36, 37, 40, 41, 42, 44, 51, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76], "thrown": 2, "after": [2, 4, 5, 7, 9, 11, 13, 17, 24, 29, 32, 34, 35, 38, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "callabl": 2, "express": [2, 3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 39, 40, 41, 43, 44, 57, 58, 59, 60, 64, 66, 67, 75], "signal": [2, 8, 17, 57], "alias": [2, 17, 24, 25, 29, 35, 55], "uniqu": [2, 3, 12, 13, 17, 24, 31, 35, 38, 57, 59, 67, 71], "multipl": [2, 3, 4, 9, 14, 17, 24, 25, 27, 29, 34, 35, 40, 44, 52, 58, 59, 60, 64, 66, 67, 71], "expos": [2, 17, 25, 40, 41, 57, 71], "share": [2, 11, 13, 14, 17, 24, 28, 29, 34, 46, 51, 52, 53, 57, 59, 60, 64, 67, 71], "impact": [2, 17, 53, 66, 71], "synthesis": 2, "thu": [2, 3, 4, 5, 10, 12, 17, 24, 32, 34, 42, 43, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "safeti": 2, "registr": [2, 17, 25], "usabl": [2, 17, 24, 38, 52, 66, 67, 71], "togeth": [2, 3, 9, 17, 24, 25, 27, 31, 34, 35, 43, 53, 54, 55, 57, 66, 71, 75], "map": [2, 3, 5, 13, 17, 24, 25, 26, 34, 35, 36, 39, 41, 44, 51, 53, 57, 58, 59, 60, 71, 72, 75], "directli": [2, 3, 4, 9, 13, 14, 17, 24, 27, 28, 34, 43, 51, 52, 53, 55, 57, 58, 60, 64, 67, 72, 75], "happen": [2, 4, 9, 10, 13, 17, 34, 38, 46, 52, 54, 55, 57, 58, 64, 71, 72], "instruct": [2, 5, 17, 53, 58, 59], "particular": [2, 3, 6, 9, 10, 12, 13, 17, 29, 30, 31, 32, 33, 34, 37, 38, 40, 42, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71, 75], "blacklist": [2, 17, 59], "includ": [2, 3, 5, 8, 9, 12, 13, 14, 17, 24, 25, 27, 28, 29, 34, 35, 36, 38, 39, 40, 41, 43, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 73, 75], "natur": [2, 5, 7, 9, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 34, 35, 37, 39, 40, 42, 44, 46, 52, 53, 57, 58, 59, 62, 64, 66, 71, 72], "finer": [2, 17, 34, 57], "grain": [2, 17, 41], "bit": [2, 5, 17, 29, 30, 34, 36, 51, 53, 66, 71, 75, 77], "mask": [2, 35], "unless": [2, 3, 13, 14, 17, 29, 40, 41, 42, 44, 51, 52, 57, 58, 64, 71, 72, 75], "treatment": [2, 9, 17, 40], "fixpoint": [2, 3, 10, 13, 17, 24, 25, 27, 29, 30, 31, 32, 37, 38, 41, 44, 46, 52, 57, 59, 64, 66, 67, 71, 72], "simplifi": [2, 11, 17, 24, 41, 54, 57, 64, 67], "redux": 2, "factor": [2, 5, 11, 17, 25, 34, 45], "16": [2, 25, 53, 54, 57, 71], "32": [2, 17, 36, 51, 53, 66], "6": [2, 9, 25, 29, 35, 53, 54, 55, 57, 58, 71, 74, 77], "64": [2, 36, 51, 66], "swap": [2, 17, 54, 57, 58], "lambda": [2, 3, 10, 11, 17, 31, 52, 55, 64, 67, 71, 77], "7": [2, 11, 25, 54, 57, 64, 71, 74, 75, 77], "128": 2, "256": 2, "push": [2, 17, 57, 71], "9": [2, 24, 25, 29, 30, 35, 53, 54, 57, 64, 71, 74, 77], "512": 2, "linear": [2, 3, 11, 14, 17, 24, 25, 46, 51, 54, 55, 57, 64], "10": [2, 5, 24, 25, 29, 31, 52, 54, 57, 59, 60, 64, 71, 74, 77], "1024": 2, "typeexpand": 2, "expand": [2, 13, 14, 17, 28, 29, 30, 31, 35, 37, 41, 46, 52, 54, 55, 57, 58, 64, 67, 71], "learn": [2, 17, 25, 54, 72], "written": [2, 3, 5, 11, 13, 17, 24, 26, 28, 29, 34, 35, 36, 37, 42, 43, 44, 46, 52, 53, 54, 55, 57, 59, 64, 71, 73, 74], "due": [2, 3, 13, 14, 17, 24, 27, 30, 34, 46, 52, 54, 55, 59, 64, 66, 67, 71, 72, 73], "typabl": [2, 4, 34], "now": [2, 3, 4, 11, 13, 14, 17, 24, 26, 27, 30, 34, 35, 41, 42, 46, 51, 52, 53, 54, 55, 57, 59, 60, 64, 67, 71, 72, 74], "solv": [2, 3, 5, 7, 11, 13, 17, 24, 25, 39, 42, 44, 57, 60, 61, 62, 64, 67], "problem": [2, 4, 7, 9, 13, 17, 24, 29, 34, 42, 44, 46, 51, 52, 53, 54, 58, 62, 66, 67], "least": [2, 3, 12, 13, 17, 25, 28, 29, 30, 34, 41, 46, 52, 53, 57, 58, 64, 66, 67, 71, 72, 74, 75], "unsaf": [2, 17, 55, 66], "cast": [2, 12, 17, 25, 40, 46, 54, 55, 57, 58, 60, 64, 71], "obj": [2, 24, 42], "veri": [2, 8, 9, 11, 13, 17, 24, 25, 27, 29, 34, 42, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67], "polymorph": [2, 3, 13, 17, 24, 25, 26, 29, 30, 31, 32, 33, 37, 39, 40, 41, 44, 46, 51, 59, 66, 67, 71], "alright": 2, "refus": [2, 3, 64], "checker": [2, 9, 11, 17, 24, 25, 26, 29, 33, 73], "known": [2, 8, 10, 12, 13, 17, 24, 27, 30, 33, 34, 39, 41, 44, 51, 55, 57, 66, 71], "distr": 2, "dp": [2, 17], "foral": [2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 36, 37, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "direct": [2, 9, 12, 16, 17, 24, 31, 34, 42, 46, 52, 53, 57, 58, 71], "restrict": [2, 3, 12, 14, 17, 24, 26, 34, 35, 40, 51, 54, 57, 58, 59, 60, 62, 67, 71], "secondli": [2, 17], "quantif": [2, 3, 4, 13, 14, 17, 24, 26, 27, 28, 60, 67], "anyth": [2, 13, 17, 35, 44, 46, 51, 55, 57, 58, 64, 75], "anything_rect": 2, "anything_ind": 2, "anything_rec": 2, "anything_sind": 2, "dynam": [2, 11, 13, 17, 25, 36, 51, 59, 71], "gadt": 2, "yet": [2, 17, 42, 43, 46, 51, 52, 54, 55, 57, 58, 60, 66, 71, 72], "those": [2, 3, 5, 10, 11, 12, 17, 24, 26, 33, 34, 35, 37, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "get": [2, 5, 9, 11, 13, 14, 17, 24, 25, 28, 29, 34, 36, 42, 51, 52, 53, 55, 58, 59, 60, 64, 66, 67], "segment": [2, 17, 24, 52, 59, 71], "fault": [2, 24, 71], "your": [2, 3, 8, 11, 14, 15, 17, 25, 29, 51, 52, 54, 55, 57, 58, 59, 60, 62, 66, 71, 73, 74, 75], "seem": [2, 5, 17, 71], "ill": [2, 4, 9, 10, 17, 24, 26, 30, 34, 51, 55, 64, 71, 72], "go": [2, 5, 9, 17, 24, 30, 42, 51, 52, 54, 55, 57, 59, 60, 64, 67, 71, 75], "wrong": [2, 3, 17, 24, 44, 51, 54, 66, 72], "come": [2, 6, 8, 13, 17, 24, 27, 34, 43, 51, 52, 54, 55, 57, 59, 60, 64, 71], "Of": [2, 14, 42, 51, 57], "launch": [2, 13, 17, 25, 52, 53], "appli": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 44, 46, 51, 53, 54, 55, 59, 60, 62, 66, 71, 72, 75], "shape": [2, 3, 57], "point": [2, 3, 11, 13, 17, 24, 25, 26, 32, 34, 35, 36, 39, 51, 52, 53, 54, 55, 57, 66, 71], "view": [2, 11, 17, 25, 26, 29, 32, 34, 39, 41, 52, 55, 60, 66], "about": [2, 3, 5, 11, 13, 14, 15, 17, 24, 25, 29, 30, 34, 37, 39, 41, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72], "let02": [2, 77], "sai": [2, 3, 4, 17, 24, 26, 27, 28, 29, 31, 34, 42, 52, 53, 54, 55, 57, 58, 64, 71, 74], "though": [2, 8, 9, 17, 24, 29, 35, 37, 46, 51, 53, 54, 55, 64, 67, 71], "realist": [2, 42], "accept": [2, 3, 13, 17, 24, 28, 29, 30, 32, 34, 40, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 72], "without": [2, 3, 5, 8, 9, 11, 13, 14, 17, 24, 26, 29, 32, 33, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75, 77], "below": [2, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 31, 34, 35, 38, 40, 41, 43, 51, 52, 53, 54, 55, 57, 64, 66, 71, 72, 74, 75], "choos": [2, 3, 17, 32, 34, 42, 43, 52, 53, 54, 57, 58, 67, 71, 72, 75], "everyth": [2, 17, 52, 53], "slight": [2, 17, 24, 58], "modif": [2, 4, 11, 17, 36, 41, 58, 71], "find": [2, 3, 4, 5, 7, 11, 13, 14, 16, 17, 25, 27, 29, 34, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 72, 77], "Its": [2, 3, 11, 17, 24, 52, 55, 57, 60, 67, 74], "euclid": [2, 17, 24], "unari": [2, 3, 26, 29, 34, 64], "repres": [2, 3, 5, 11, 13, 14, 17, 24, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71], "theorem": [2, 5, 7, 8, 11, 12, 17, 24, 25, 27, 29, 32, 33, 35, 37, 38, 42, 43, 51, 52, 57, 59, 60, 62, 65, 66, 71, 73, 74, 75, 77], "eucl_dev": 2, "whose": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 31, 33, 34, 35, 37, 39, 41, 42, 44, 46, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 75], "diveucl": 2, "quotient": [2, 5, 17, 40, 57, 64], "modulo": [2, 4, 5, 11, 17, 24, 34, 54, 57, 58, 59, 71], "assert": [2, 17, 24, 25, 26, 28, 34, 41, 54, 55, 57, 58, 62, 64, 66, 67, 71], "disappear": [2, 17, 24, 34, 55, 60, 67, 71], "wf_nat": [2, 17, 24], "gt_wf_rec": 2, "lt_wf_rec": [2, 24], "induction_ltof2": 2, "val": [2, 34, 55, 57], "sub": [2, 4, 8, 17, 36, 41, 46, 51, 53, 54, 57, 59, 60, 67, 71], "rec": [2, 17, 24, 35, 54, 55, 75], "le_lt_dec": [2, 17, 24], "n0": [2, 9, 31, 46, 57, 58, 67, 72], "n1": [2, 9, 34, 53, 57, 72], "le_gt_dec": 2, "divex": 2, "d": [2, 4, 5, 11, 14, 17, 24, 26, 34, 46, 51, 52, 53, 54, 57, 58, 62, 67, 75, 77], "q": [2, 3, 5, 7, 10, 11, 12, 17, 24, 27, 34, 35, 46, 51, 53, 54, 55, 57, 58, 59, 67, 71, 75], "r": [2, 3, 5, 7, 9, 11, 13, 14, 17, 24, 27, 28, 34, 35, 37, 41, 44, 51, 53, 54, 57, 58, 59, 60, 64, 67, 71, 72, 75, 77], "mandatori": [2, 8, 17, 32, 57, 66, 71], "enhanc": [2, 17, 52, 57], "past": [2, 17, 52, 64], "u": [2, 3, 4, 9, 10, 11, 14, 17, 24, 26, 27, 31, 34, 35, 38, 39, 41, 42, 46, 51, 53, 54, 55, 57, 58, 62, 64, 67, 71], "plai": [2, 17, 26, 42, 64, 66], "toplevel": [2, 10, 13, 14, 17, 24, 25, 27, 29, 35, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 71, 72, 74], "easier": [2, 10, 17, 24, 45, 52, 57, 58, 67, 71], "nat_of_int": 2, "int_of_nat": 2, "div": [2, 3, 5, 11, 17, 59], "173": [2, 14], "15": [2, 13, 25, 52, 53, 57, 66], "mere": [2, 17, 55, 57, 64, 71], "extrocamlintconv": 2, "concret": [2, 13, 14, 17, 25, 26, 29, 34, 42, 46, 51, 57, 64, 71], "patholog": 2, "success": [2, 3, 4, 5, 13, 17, 24, 25, 34, 51, 52, 55, 57, 59, 60, 62, 64, 66, 67, 74], "sever": [2, 3, 4, 5, 11, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 64, 65, 67, 71, 72, 75, 76], "chain": [2, 17, 25, 51, 64, 71, 74], "http": [2, 5, 17, 24, 25, 27, 50, 51, 52, 53, 59, 64, 75, 77], "github": [2, 5, 17, 51, 52], "com": [2, 5, 17, 51, 52, 54], "commun": [2, 17, 24, 27, 29, 51], "hydra": 2, "battl": 2, "bdd": 2, "contrib": [2, 17, 24, 53, 55], "canon": [2, 4, 5, 11, 13, 17, 24, 25, 30, 32, 34, 35, 37, 38, 44, 45, 53, 57, 59, 71, 77], "chines": [2, 24], "continu": [2, 17, 24, 52, 53, 54, 55, 57, 71, 73], "fire": [2, 14, 17], "squad": 2, "founifi": 2, "graph": [2, 14, 17, 24, 25, 39, 54, 72], "higman": 2, "cf": [2, 9, 17, 24, 29, 34, 40, 42, 46, 59, 67], "nw": 2, "hardwar": [2, 8, 24], "multipli": [2, 57], "stalmarck": [2, 24], "probabl": [2, 17, 32, 44, 51, 54, 57, 58, 59, 75], "heavi": 2, "impred": [2, 12, 14, 17, 24, 25, 34, 51, 53, 77], "thank": [2, 5, 12, 17, 24, 34, 42, 55, 57, 64, 71], "matthieu": [3, 9, 14, 17, 77], "sozeau": [3, 9, 14, 17, 77], "equal": [3, 5, 8, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 39, 40, 42, 44, 46, 52, 54, 55, 57, 58, 60, 61, 65, 71, 72, 77], "equip": [3, 4, 17, 24, 27, 36, 42, 64], "equival": [3, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 46, 51, 52, 53, 54, 55, 59, 60, 62, 64, 66, 67, 71, 75], "behav": [3, 11, 17, 24, 28, 29, 31, 34, 35, 43, 53, 54, 55, 57, 58, 60, 62, 64, 67, 71], "weaker": [3, 17, 24, 60], "g": [3, 4, 5, 9, 10, 13, 14, 17, 24, 27, 28, 29, 30, 31, 34, 35, 36, 41, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "system": [3, 8, 9, 11, 17, 24, 25, 26, 27, 28, 29, 32, 33, 34, 38, 39, 46, 51, 52, 53, 54, 55, 57, 59, 60, 62, 71, 73, 77], "toolbox": [3, 17], "extend": [3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 37, 40, 41, 42, 45, 51, 52, 53, 55, 59, 60, 71, 77], "capabl": [3, 17, 51, 53, 54, 55, 64], "document": [3, 8, 9, 11, 12, 16, 17, 24, 25, 42, 51, 52, 54, 55, 57, 59, 64, 65, 66, 67, 71, 72, 74, 76], "adapt": [3, 7, 17, 24, 51, 57, 63], "claudio": [3, 17, 24], "sacerdoti": [3, 17, 24], "coen": [3, 17, 24], "base": [3, 5, 10, 11, 12, 13, 14, 17, 24, 25, 29, 33, 35, 39, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75, 77], "cl\u00e9ment": [3, 17], "renard": [3, 24], "implement": [3, 8, 11, 12, 13, 17, 24, 25, 29, 34, 35, 36, 37, 39, 43, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 77], "drop": [3, 17, 51, 54, 59, 71], "old": [3, 11, 24, 25, 51, 53, 55, 58, 60, 66, 67], "complet": [3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 24, 29, 30, 32, 34, 36, 40, 42, 51, 52, 53, 54, 57, 58, 59, 60, 62, 66, 67, 71], "typeclass": [3, 4, 5, 7, 17, 25, 35, 37, 38, 44, 45, 58, 60, 64, 66, 71], "infrastructur": [3, 25, 42, 53], "algorithm": [3, 7, 9, 11, 13, 17, 24, 25, 41, 51, 54, 57, 59, 62, 66, 77], "constraint": [3, 5, 8, 9, 10, 13, 17, 24, 25, 34, 35, 39, 43, 44, 51, 53, 54, 55, 58, 67, 71], "ml": [3, 5, 6, 8, 11, 17, 24, 25, 26, 29, 34, 36, 46, 51, 52, 53, 54, 57, 59, 60, 63, 64, 72, 77], "resolut": [3, 13, 17, 24, 25, 58, 60, 66, 71, 75], "anoth": [3, 4, 9, 11, 13, 14, 17, 24, 27, 31, 32, 34, 35, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 63, 64, 66, 67, 71], "pure": [3, 7, 11, 17, 55, 57, 64, 71, 72, 75], "again": [3, 13, 17, 24, 34, 42, 52, 53, 55, 57, 60, 64, 66, 71], "ordinari": [3, 17, 26, 37, 39, 71], "rocq": [3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 50, 52, 54, 55, 58, 59, 62, 63, 64, 65, 66, 67, 73, 76], "manipul": [3, 9, 10, 17, 24, 25, 34, 37, 39, 55, 57, 63, 77], "put": [3, 5, 13, 14, 17, 34, 35, 43, 51, 53, 54, 57, 58, 59, 60, 66, 67, 71, 72, 75], "lemma": [3, 5, 11, 13, 14, 17, 24, 25, 32, 34, 35, 36, 38, 42, 44, 46, 54, 57, 58, 59, 60, 62, 64, 67, 72], "prove": [3, 5, 7, 8, 9, 11, 17, 24, 25, 27, 30, 32, 34, 35, 42, 43, 57, 58, 60, 62, 64, 72, 77], "higher": [3, 14, 17, 24, 25, 27, 40, 51, 54, 57, 58, 59, 60, 64, 67, 71, 73, 77], "depth": [3, 5, 13, 17, 29, 54, 57, 58, 59, 60, 62, 64, 71, 75], "solut": [3, 5, 13, 17, 42, 44, 58, 59, 63, 67], "fast": [3, 17, 24, 25, 53], "besid": [3, 17, 24, 34, 57], "necessari": [3, 4, 9, 13, 17, 24, 29, 31, 33, 37, 53, 55, 57, 59, 62, 64, 67, 71], "nicola": [3, 17, 77], "tabareau": [3, 17, 77], "glu": 3, "A": [3, 4, 5, 7, 9, 10, 11, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76, 77], "x1": [3, 9, 13, 17, 27, 42, 54, 57, 59, 60, 72], "t1": [3, 13, 17, 34, 42, 46, 57], "xn": [3, 9, 17, 57], "tn": [3, 13, 17, 57], "carrier": [3, 11, 14, 42, 57], "said": [3, 4, 17, 26, 34, 36, 42, 44, 55, 59, 71], "possibli": [3, 4, 17, 24, 34, 35, 42, 43, 51, 53, 54, 57, 59, 64, 67, 71, 73], "paramet": [3, 4, 5, 7, 8, 13, 14, 17, 24, 25, 28, 29, 34, 37, 40, 41, 42, 43, 44, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 72], "finit": [3, 5, 17, 24, 30, 34], "unord": [3, 17, 57], "set_eq": 3, "satisfi": [3, 4, 5, 11, 13, 14, 17, 30, 34, 35, 54, 55, 59, 64, 67, 71], "convert": [3, 4, 12, 13, 14, 17, 25, 26, 34, 37, 41, 44, 54, 55, 57, 58, 64, 67], "reflex": [3, 5, 6, 11, 13, 17, 24, 27, 34, 36, 51, 54, 57, 59, 60, 62, 64, 66, 67, 71], "symmetri": [3, 17, 24, 34, 44, 57, 60, 64], "transit": [3, 7, 8, 13, 14, 17, 24, 25, 26, 35, 41, 44, 51, 54, 57, 58, 59, 60, 64, 66, 74], "symmetr": [3, 17, 24, 31, 59, 64, 71], "a1": [3, 27, 34, 46, 57, 58, 71], "a2": [3, 27, 34, 58], "covariantli": 3, "r1": [3, 5, 17, 27, 41, 44, 57, 59], "r2": [3, 17, 27, 41, 44, 57, 59], "whenev": [3, 7, 14, 17, 27, 29, 42, 55, 57, 62, 64, 67, 71], "imag": [3, 11, 17, 24, 51, 52, 66], "input": [3, 4, 9, 10, 13, 14, 17, 25, 27, 29, 35, 44, 46, 51, 54, 57, 58, 60, 64, 71, 72, 74, 75], "monoton": [3, 4, 17], "i_": [3, 34, 57], "r_1": 3, "r_2": 3, "notic": [3, 4, 5, 17, 26, 34, 35, 38, 46, 51, 52, 54, 57, 58, 64, 66, 71, 72, 74], "arrow": [3, 4, 14, 17, 52, 57, 60, 64, 67], "reader": [3, 11, 24, 29, 31, 42, 57], "between": [3, 4, 10, 11, 13, 14, 17, 24, 25, 26, 27, 29, 33, 34, 38, 39, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 64, 65, 67, 71, 72, 75], "introduc": [3, 5, 8, 10, 11, 13, 14, 17, 24, 25, 28, 30, 31, 34, 35, 37, 38, 43, 44, 46, 51, 52, 55, 57, 58, 59, 60, 62, 66, 67, 71, 72, 75], "straightforwardli": 3, "ari": [3, 17, 34], "simultan": [3, 17, 24, 25, 26, 30, 32, 34, 42, 53, 57, 58], "everi": [3, 9, 11, 12, 13, 14, 17, 28, 29, 34, 40, 51, 52, 54, 55, 57, 58, 64, 71], "argument": [3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 40, 42, 43, 45, 51, 52, 54, 55, 58, 59, 60, 62, 64, 66, 72, 75], "invers": [3, 11, 17, 24, 25, 31, 58, 60, 64, 72, 77], "t_1": [3, 26, 31, 34, 35], "ldot": [3, 7, 34], "t_n": [3, 26, 34, 66], "union": [3, 13, 17, 54, 59, 66, 77], "append": [3, 17, 29, 35, 43, 53, 54, 66, 75], "binari": [3, 5, 7, 11, 14, 17, 24, 29, 37, 42, 51, 53, 57, 58, 60, 64, 71], "latter": [3, 11, 17, 28, 34, 35, 42, 51, 54, 55, 57, 58, 64, 66, 67, 75], "condit": [3, 4, 9, 11, 17, 24, 25, 30, 50, 53, 59, 60, 63, 64, 66, 67], "s1": [3, 30, 38, 57], "s2": [3, 30], "divis": [3, 11, 17, 24, 25, 57], "rdiv": [3, 5], "le": [3, 5, 13, 14, 17, 24, 27, 42, 46, 52, 55, 57, 64, 67, 77], "usual": [3, 8, 9, 12, 17, 25, 26, 27, 28, 30, 34, 35, 37, 40, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "leibniz": [3, 5, 7, 11, 13, 17, 24, 25, 27, 35, 40, 57, 58, 67], "unfortun": [3, 5, 17, 42, 46, 57], "intend": [3, 17, 24, 28, 32, 39, 51, 57, 64, 66, 71], "next": [3, 9, 13, 17, 24, 27, 29, 33, 34, 42, 44, 46, 51, 52, 54, 55, 57, 60, 64, 65, 66, 67, 71], "section": [3, 5, 6, 7, 8, 9, 10, 11, 12, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 67, 71, 74], "deal": [3, 5, 8, 13, 17, 24, 25, 42, 46, 57, 60, 64, 71, 72], "exact": [3, 12, 14, 17, 24, 25, 35, 40, 43, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71], "goal": [3, 6, 7, 8, 9, 12, 13, 14, 17, 24, 25, 27, 29, 31, 34, 35, 36, 37, 38, 42, 43, 44, 52, 53, 59, 60, 61, 62, 64, 71, 72, 74], "howev": [3, 4, 5, 9, 12, 13, 14, 17, 24, 27, 29, 34, 36, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 72], "verifi": [3, 7, 9, 11, 14, 17, 24, 25, 29, 31, 32, 33, 35, 51, 60, 66], "verif": [3, 24, 25, 32, 66, 67, 77], "consist": [3, 4, 5, 11, 13, 14, 17, 24, 27, 30, 31, 34, 35, 52, 55, 57, 58, 59, 64, 65, 66, 71], "composit": [3, 71], "some": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 71, 72, 73, 75], "obviou": [3, 34, 57, 71], "suppos": [3, 9, 17, 51, 55, 57, 64], "hypothesi": [3, 9, 11, 17, 24, 25, 27, 28, 29, 34, 38, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 75], "h": [3, 4, 6, 9, 11, 12, 13, 14, 17, 24, 27, 34, 40, 44, 46, 51, 54, 55, 57, 58, 62, 64, 66, 67, 72, 75, 77], "These": [3, 11, 13, 14, 17, 24, 25, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 52, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "attribut": [3, 5, 9, 13, 14, 16, 25, 28, 30, 32, 34, 37, 40, 41, 42, 44, 51, 54, 55, 59, 60, 62, 64, 66, 71, 74], "univers": [3, 4, 8, 9, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 39, 40, 44, 46, 51, 54, 57, 59, 62, 66, 67, 71, 77], "add": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 29, 31, 32, 34, 37, 41, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "one_term": [3, 5, 7, 11, 13, 29, 34, 54, 58, 60, 62, 64, 67, 71, 72], "aeq": 3, "\u03b1": [3, 14, 25, 54, 55, 57], "typeabl": 3, "fresh": [3, 14, 17, 24, 25, 31, 34, 53, 57, 58, 64, 66, 67, 71], "intern": [3, 5, 11, 14, 17, 24, 25, 31, 34, 37, 44, 51, 53, 54, 55, 58, 60, 62, 66, 67, 71, 72, 73, 74, 77], "although": [3, 5, 9, 17, 35, 37, 53, 55, 57, 58, 60, 64, 66], "depart": 3, "To": [3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 17, 24, 25, 27, 29, 30, 32, 34, 37, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 74, 75], "eq": [3, 5, 11, 14, 17, 27, 35, 40, 42, 54, 57, 58, 59, 64, 67, 71], "refl_equ": [3, 17, 57], "properti": [3, 4, 6, 9, 11, 12, 13, 17, 24, 25, 26, 27, 30, 31, 32, 34, 38, 39, 42, 45, 46, 57, 58, 67, 72, 77], "deriv": [3, 5, 9, 13, 17, 24, 25, 26, 30, 34, 38, 40, 54, 64, 66, 73], "autorewrit": [3, 17, 24, 60], "abl": [3, 8, 11, 13, 14, 17, 24, 25, 34, 42, 44, 46, 51, 53, 55, 57, 58, 59, 61, 62, 67], "defined": 3, "interact": [3, 6, 10, 13, 17, 24, 25, 32, 33, 37, 38, 40, 42, 43, 52, 59, 65, 66, 67, 71, 75, 76, 77], "denot": [3, 4, 11, 17, 24, 26, 28, 29, 30, 34, 35, 39, 40, 42, 43, 52, 54, 57, 58, 67, 71], "small": [3, 5, 8, 11, 14, 17, 25, 26, 33, 34, 39, 42, 44, 52, 53, 57, 64], "theori": [3, 4, 5, 11, 17, 24, 25, 26, 27, 28, 29, 39, 42, 46, 51, 53, 57, 58, 60, 62, 67, 71, 77], "homogen": [3, 17], "export": [3, 5, 9, 11, 13, 17, 24, 29, 35, 38, 51, 52, 54, 55, 59, 60, 71], "relation_definit": [3, 13, 17, 42, 59], "eq_set": 3, "axiom": [3, 6, 7, 9, 10, 11, 12, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74], "eq_set_refl": 3, "eq_set_sym": 3, "eq_set_tran": 3, "empty_neutr": 3, "union_compat": 3, "eq_set_rel": 3, "eq_set_rel_rel": 3, "eq_set_rel_reflex": 3, "eq_set_rel_symmetr": 3, "eq_set_rel_transit": 3, "union_mor": 3, "x0": [3, 13, 17, 37, 43, 44, 54, 66, 71], "y0": [3, 13, 43], "No": [3, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 30, 34, 35, 36, 40, 42, 44, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74], "qed": [3, 5, 6, 8, 9, 12, 13, 14, 17, 24, 29, 32, 34, 36, 38, 40, 42, 51, 52, 54, 57, 58, 59, 60, 62, 64, 66, 67, 72], "reduc": [3, 7, 8, 10, 11, 12, 13, 17, 24, 26, 31, 32, 34, 36, 37, 40, 41, 44, 51, 53, 57, 58, 59, 60, 64, 66, 67, 71], "burden": [3, 63], "maxim": [3, 13, 17, 25, 41, 51, 57, 71, 77], "insert": [3, 4, 9, 12, 13, 17, 24, 25, 29, 41, 46, 52, 53, 55, 57, 66, 71, 75], "write": [3, 4, 8, 11, 13, 14, 17, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 39, 43, 51, 53, 54, 55, 57, 58, 59, 63, 66, 67, 71, 73, 75], "proce": [3, 11, 13, 52, 57, 71], "simpl": [3, 4, 10, 11, 17, 24, 25, 29, 37, 41, 42, 43, 46, 52, 53, 54, 57, 58, 59, 60, 62, 67, 72], "step": [3, 5, 7, 11, 13, 17, 24, 25, 26, 29, 41, 51, 52, 53, 54, 58, 60, 64, 65, 67], "applic": [3, 5, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 35, 36, 37, 41, 46, 52, 55, 57, 59, 60, 64, 66, 67, 71, 72, 77], "establish": [3, 17, 57], "intro": [3, 5, 11, 12, 13, 17, 24, 25, 34, 42, 43, 44, 52, 54, 55, 60, 62, 64, 66, 67, 71, 72], "manag": [3, 13, 17, 24, 25, 32, 38, 51, 53, 57, 59, 60, 62, 73], "hypothes": [3, 5, 9, 13, 17, 24, 25, 28, 32, 34, 51, 57, 60, 62, 64, 67, 71], "One": [3, 8, 9, 13, 14, 17, 25, 31, 32, 34, 37, 38, 39, 44, 51, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "cmd": [3, 17, 38, 51, 52, 54], "exist": [3, 4, 5, 9, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74], "outsid": [3, 5, 9, 11, 12, 13, 14, 17, 28, 29, 35, 38, 40, 41, 42, 43, 53, 54, 59, 60, 66, 71], "suffix": [3, 17, 35, 51, 52, 53, 54, 57, 59, 71, 75], "_morphism": 3, "modifi": [3, 4, 8, 11, 13, 14, 17, 24, 25, 29, 36, 38, 41, 51, 52, 54, 55, 57, 58, 64, 66, 67, 71], "themselv": [3, 13, 14, 17, 26, 35, 37, 39, 41, 42, 53, 57, 59, 64, 71], "exploit": [3, 17, 24, 57, 67], "monotoni": 3, "hand": [3, 10, 12, 13, 17, 25, 27, 29, 33, 35, 52, 53, 54, 55, 57, 58, 64, 67, 71, 72], "partial": [3, 13, 17, 24, 34, 35, 37, 44, 51, 53, 54, 57, 59, 62, 66, 71, 72], "domain": [3, 5, 11, 14, 17, 24, 25, 26, 34, 42, 61, 64, 71], "compris": [3, 24], "eqo": 3, "smallest": [3, 5, 27, 34, 67], "nonzero": [3, 11, 37, 54], "eq0": 3, "open": [3, 5, 6, 11, 13, 17, 25, 27, 35, 36, 38, 50, 52, 54, 55, 57, 59, 60, 64, 66], "addit": [3, 4, 5, 8, 9, 13, 17, 24, 25, 27, 29, 31, 34, 35, 39, 51, 52, 53, 54, 55, 58, 59, 62, 64, 65, 66, 67, 71, 72, 73], "up": [3, 8, 13, 17, 24, 25, 26, 31, 34, 35, 38, 42, 43, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 75], "longer": [3, 9, 17, 24, 31, 34, 38, 44, 52, 53, 58, 66, 67, 71], "posit": [3, 4, 5, 7, 9, 10, 11, 14, 17, 24, 25, 30, 36, 37, 39, 41, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "z": [3, 5, 7, 11, 13, 14, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 44, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "lt": [3, 9, 13, 17, 27, 42, 71, 72], "increas": [3, 5, 8, 17, 24, 53, 57, 62], "decreas": [3, 7, 9, 17, 30, 34, 55, 59, 72], "dualli": [3, 44, 57], "hold": [3, 4, 17, 30, 34, 35, 40, 42, 55, 58, 75], "On": [3, 10, 12, 17, 24, 27, 30, 32, 37, 40, 44, 46, 51, 52, 53, 54, 57, 58, 64, 71], "contrari": [3, 4, 9, 13, 17, 30, 40, 44, 57, 67], "messag": [3, 4, 8, 11, 12, 13, 14, 16, 17, 24, 26, 28, 29, 30, 34, 35, 37, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "rewritten": [3, 9, 11, 24, 30, 46, 57, 58, 64], "compos": [3, 4, 34, 44, 57, 67, 71], "propag": [3, 11, 17, 41], "varianc": [3, 17], "annot": [3, 9, 14, 17, 24, 25, 27, 34, 41, 42, 45, 51, 53, 55, 57, 66], "switch": [3, 8, 13, 14, 17, 24, 25, 51, 53, 66], "travers": [3, 17, 57, 58, 67], "detail": [3, 5, 7, 14, 25, 31, 36, 37, 41, 42, 51, 52, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "contravariantli": 3, "differ": [3, 4, 9, 11, 13, 14, 15, 17, 24, 25, 26, 29, 31, 34, 35, 37, 38, 41, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 72, 73, 75, 77], "duplic": [3, 11, 17, 43, 57, 67, 71], "multiset_eq": 3, "repeat": [3, 17, 25, 43, 44, 52, 55, 57, 58, 59, 66, 67], "request": [3, 14, 17, 25, 43, 51, 64], "unclear": [3, 10, 54], "analog": [3, 17, 34, 54, 57, 58, 66], "crelat": 3, "cmorphism": [3, 17], "cequival": 3, "rewriterel": [3, 17, 57], "index": [3, 13, 17, 24, 25, 26, 27, 29, 39, 40, 44, 52, 58, 60, 64, 66, 67, 73, 75], "iff": [3, 17, 26, 27, 31, 57, 59, 71], "impl": [3, 5, 59], "flip": [3, 17], "pointwis": 3, "simpli": [3, 4, 11, 13, 14, 17, 24, 31, 39, 54, 55, 57, 59, 62, 67, 71, 75], "machineri": [3, 17, 57], "infer": [3, 4, 9, 10, 13, 14, 24, 25, 26, 34, 37, 40, 41, 42, 45, 46, 51, 57, 58, 60, 62, 67, 71], "face": [3, 17, 75], "situat": [3, 4, 11, 17, 46, 54, 57, 71], "instanti": [3, 10, 13, 14, 17, 24, 34, 35, 43, 44, 54, 55, 57, 58, 60, 62, 67, 71], "discharg": [3, 14, 17, 24, 25, 28, 38, 72], "That": [3, 27, 29, 30, 34, 36, 52, 54, 55, 58, 64, 66], "variou": [3, 16, 17, 24, 25, 28, 29, 34, 44, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 71], "hint": [3, 13, 14, 17, 24, 25, 27, 35, 38, 54, 62, 64, 75], "databas": [3, 13, 17, 25, 54, 57, 62, 64], "refl": [3, 17], "sym": [3, 17, 44], "tran": [3, 17], "id": [3, 4, 9, 10, 14, 17, 24, 26, 34, 35, 42, 44, 51, 52, 53, 54, 55, 57, 58, 64, 66, 71, 75], "equivalence_reflex": [3, 59], "equivalence_symmetr": [3, 59], "equivalence_transit": 3, "amount": [3, 5, 8, 14, 17, 51, 54, 58], "relationclass": [3, 17, 64], "further": [3, 17, 30, 35, 41, 51, 52, 54, 55, 57, 64, 66, 67, 71], "explan": [3, 13, 37, 45, 51, 58, 59, 67], "encod": [3, 13, 17, 24, 25, 27, 34, 53, 71, 75], "car": 3, "eq_rel": 3, "eq_rel_rel": 3, "eq_rel_reflex": 3, "eq_rel_symmetr": 3, "eq_rel_transit": 3, "x2": [3, 27, 42, 59, 60, 72], "apply_mor": 3, "setoid_": [3, 17], "moreov": [3, 5, 17, 28, 44, 46, 51, 52, 57, 62, 71], "unprefix": 3, "fall": [3, 9, 10, 13, 24, 53], "back": [3, 9, 14, 17, 24, 51, 52, 54, 57, 59, 66, 67], "involv": [3, 4, 9, 12, 17, 24, 25, 26, 34, 41, 42, 51, 52, 53, 54, 57, 59, 60, 62, 64, 67], "pass": [3, 5, 8, 10, 12, 17, 24, 37, 38, 42, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 75], "etransit": [3, 17, 43, 64], "one_term_with_bind": [3, 58, 64, 67, 72], "rewrite_occ": [3, 64], "int_or_var": [3, 54, 66, 71], "ltac_expr3": [3, 29, 54, 58, 64, 66], "defaultrel": 3, "By": [3, 4, 5, 11, 12, 13, 14, 17, 29, 37, 44, 46, 51, 53, 54, 55, 57, 60, 64, 66, 67, 71], "recent": [3, 24, 25, 53, 71], "environ": [3, 9, 11, 12, 13, 14, 17, 24, 25, 26, 28, 30, 31, 32, 34, 35, 38, 42, 43, 52, 53, 55, 57, 60, 62, 64, 66, 67, 71, 72, 75], "simul": [3, 17, 24, 57, 66], "understand": [3, 5, 10, 12, 15, 17, 24, 25, 29, 33, 51, 53, 54, 55, 59, 60], "congruenc": [3, 12, 17, 24, 25, 34, 54, 62, 64, 67], "pack": [3, 42, 53], "slightli": [3, 17, 24, 35, 51, 52, 54, 55, 57, 58, 67], "permut": [3, 17, 25, 55, 57], "bi": 3, "implic": [3, 17, 26, 27, 28, 42, 54, 57, 60, 66, 67, 71], "port": [3, 17, 24, 55, 72], "semant": [3, 11, 13, 14, 17, 24, 25, 26, 29, 35, 36, 39, 41, 44, 53, 54, 57, 58, 71, 77], "limit": [3, 5, 8, 9, 10, 13, 14, 17, 24, 29, 35, 41, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 71, 72], "lift": [3, 12, 14, 17], "were": [3, 11, 13, 17, 24, 34, 35, 36, 38, 42, 44, 51, 53, 54, 55, 59, 60, 66, 71, 72, 75], "discuss": [3, 17, 24, 25, 54], "setoid_rewrit": [3, 17, 24, 60, 64], "head": [3, 10, 13, 14, 17, 24, 26, 30, 35, 41, 42, 44, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71], "constr": [3, 5, 14, 17, 24, 34, 42, 54, 55, 57, 71], "bind": [3, 9, 10, 14, 17, 24, 25, 28, 32, 34, 35, 37, 40, 43, 44, 46, 51, 54, 57, 64, 66, 67, 72], "construct": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 27, 28, 29, 30, 31, 33, 35, 41, 42, 43, 46, 52, 53, 55, 57, 58, 62, 63, 64, 65, 66, 67, 71, 77], "ex": [3, 17, 24, 27, 44, 58, 67, 71], "existenti": [3, 6, 9, 10, 13, 17, 24, 25, 26, 34, 41, 45, 54, 58, 59, 60, 64, 66, 67], "morphisms_prop": [3, 17], "all_iff_morph": 3, "pointwise_rel": 3, "simpl_rel": [3, 17], "predic": [3, 9, 17, 24, 25, 26, 27, 30, 34, 40, 42, 54, 60, 64, 77], "onc": [3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 32, 34, 41, 42, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72], "implicitli": [3, 13, 14, 17, 24, 34, 51, 55, 59, 60, 64], "inde": [3, 4, 11, 12, 13, 14, 17, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "surround": [3, 17, 44, 57, 59, 71], "whatev": [3, 44, 64, 75], "map_morph": 3, "eqa": [3, 13], "eqb": [3, 5, 13, 17, 36, 59], "list_equiv": 3, "parameter": [3, 5, 11, 14, 17, 24, 25, 28, 37, 40, 54], "captur": [3, 17, 34, 44, 57, 64, 71], "bound": [3, 5, 6, 7, 10, 14, 17, 24, 25, 26, 28, 31, 32, 34, 39, 41, 42, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 72], "With": [3, 4, 13, 14, 17, 46, 53, 57, 58, 67, 71], "subterm": [3, 9, 10, 11, 17, 24, 25, 31, 34, 41, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72], "almost": [3, 17, 57, 67, 75], "recov": [3, 8, 14, 17, 30, 46, 51, 54, 67], "smaller": [3, 11, 14, 17, 32, 33, 34, 53, 58, 62, 67, 72], "dual": [3, 9, 24, 55], "why": [3, 11, 17, 34, 37, 43, 55], "conjunct": [3, 5, 11, 17, 24, 34, 57, 59, 60, 67, 71], "suffici": [3, 5, 11, 13, 53], "aris": [3, 9, 13, 17, 30, 67, 71], "through": [3, 4, 12, 17, 24, 28, 29, 30, 32, 34, 35, 36, 37, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72, 73, 74], "prime": [3, 17, 29, 34, 57], "space": [3, 17, 29, 52, 53, 57, 59, 66, 71, 74, 75], "rewrite_strat": [3, 17], "rule": [3, 4, 5, 11, 12, 13, 14, 17, 24, 25, 29, 32, 33, 35, 36, 37, 39, 41, 42, 44, 46, 51, 53, 54, 55, 58, 59, 60, 62, 66, 67, 77], "slow": [3, 11, 17, 53, 54, 55], "down": [3, 14, 24, 25, 45, 51, 52, 54, 55, 57, 59], "wherea": [3, 17, 29, 54, 55, 57, 58, 62, 74], "opaqu": [3, 6, 8, 9, 14, 17, 24, 25, 31, 32, 35, 38, 51, 57, 59, 60, 64, 66, 67, 71, 75], "caus": [3, 8, 12, 14, 17, 32, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 71, 75], "miss": [3, 5, 10, 13, 17, 24, 35, 43, 51, 52, 55, 57, 58, 62, 64, 71, 75], "configur": [3, 8, 17, 24, 25, 29, 40, 51, 52, 59, 64, 66, 73], "transpar": [3, 4, 6, 9, 14, 17, 24, 25, 31, 32, 35, 37, 41, 51, 54, 55, 57, 59, 60, 64, 66, 67, 75], "unif": [3, 10, 13, 17, 24, 25, 37, 40, 42, 43, 54, 60, 64, 71], "eauto": [3, 17, 25, 43, 54, 57, 60], "individu": [3, 17, 53, 55, 64, 67, 71], "double_f": 3, "unifi": [3, 12, 13, 14, 17, 34, 41, 42, 43, 54, 57, 58, 64, 66], "assert_succe": [3, 17, 25], "bottomup": 3, "hide": [3, 17, 25, 34, 41, 44, 57, 58, 66, 71], "side": [3, 10, 13, 14, 17, 24, 25, 27, 32, 34, 35, 38, 43, 52, 54, 55, 57, 58, 60, 62, 64, 67, 71], "behind": [3, 4, 17, 28, 34, 57], "assert_fail": [3, 17, 25], "disallow": [3, 12, 14, 17, 37, 51], "substitut": [3, 10, 11, 17, 24, 25, 26, 34, 38, 46, 51, 55, 57, 58, 64, 67, 71], "distinct": [3, 9, 13, 17, 26, 34, 42, 44, 46, 53, 54, 55, 57, 60, 64, 67, 71], "eq_refl": [3, 5, 9, 11, 12, 13, 14, 17, 27, 40, 64, 66, 67, 71], "resolv": [3, 9, 13, 14, 17, 35, 43, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71], "treat": [3, 9, 12, 13, 17, 29, 46, 53, 54, 57, 59, 60, 62, 64, 67, 71, 72], "lot": [3, 11, 17, 24, 52, 55], "tri": [3, 4, 5, 9, 13, 14, 17, 34, 35, 41, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 66, 67], "speed": [3, 13, 17, 24, 34, 64], "abbrevi": [3, 4, 5, 13, 14, 17, 24, 25, 27, 32, 35, 38, 59, 74], "typeclass_inst": [3, 13, 17, 60], "strat": 3, "rewstrategi": [3, 17], "conclus": [3, 11, 13, 17, 24, 28, 34, 54, 55, 57, 58, 60, 64, 66, 67, 71], "noth": [3, 17, 38, 41, 51, 54, 55, 57, 58, 62, 64, 66, 67], "didn": [3, 17, 51, 53], "progress": [3, 17, 24, 25, 51, 52, 55, 60, 66, 77], "succeed": [3, 17, 54, 59, 72], "unabl": [3, 14, 34, 43, 46, 53, 57, 58, 59, 66, 67], "basic": [3, 9, 11, 17, 24, 25, 32, 33, 34, 35, 37, 40, 42, 44, 46, 51, 58, 59, 60, 63, 66, 67, 73], "db": [3, 17], "topdown": 3, "creat": [3, 8, 9, 13, 17, 24, 25, 29, 34, 38, 40, 42, 51, 52, 53, 54, 57, 58, 59, 64, 66, 67, 72, 75], "procedur": [3, 4, 11, 17, 24, 25, 54, 57, 60, 62, 64, 77], "programm": [3, 24, 25, 65], "visser": [3, 77], "et": [3, 24, 77], "al": [3, 57], "lv97": [3, 77], "vbt98": [3, 77], "stratego": [3, 77], "transform": [3, 4, 11, 17, 29, 57, 58, 66, 67, 77], "languag": [3, 9, 11, 14, 26, 29, 36, 37, 39, 40, 41, 46, 53, 54, 63, 64, 65, 66, 74, 75, 77], "vis01": [3, 77], "rewstrategy1": [3, 17], "choic": [3, 17, 27, 34, 51, 52, 55, 62, 71, 75], "rewstrategy0": 3, "eval": [3, 5, 12, 14, 17, 24, 25, 29, 30, 31, 32, 35, 37, 42, 52, 53, 55, 59], "red_expr": [3, 17, 32, 54, 64], "fold": [3, 17, 37, 57], "failur": [3, 8, 13, 14, 17, 24, 25, 46, 53, 55, 57, 59, 60, 62, 64, 71, 77], "catch": [3, 17, 25, 42, 46, 57], "zero": [3, 7, 11, 17, 26, 27, 37, 42, 46, 53, 54, 55, 58, 59, 60, 64], "nest": [3, 9, 17, 24, 25, 29, 32, 35, 38, 40, 54, 57, 58, 59, 64, 66, 71, 75], "andbc": [3, 57], "bottom": [3, 17, 37, 46, 52, 54, 55, 58, 64, 71], "top": [3, 8, 10, 12, 13, 14, 17, 24, 25, 29, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71, 73, 75], "oper": [3, 5, 9, 10, 11, 14, 17, 24, 25, 27, 32, 34, 36, 51, 52, 54, 55, 57, 60, 64, 66, 67, 71], "texttt": 3, "conceptu": [3, 34], "straightforward": [3, 55], "root": [3, 17, 25, 27, 46, 51, 59], "iter": [3, 5, 13, 17, 25, 26, 28, 30, 71], "consider": [3, 9, 17, 37, 39, 46, 64, 67, 71], "stop": [3, 5, 12, 17, 24, 32, 38, 52, 54, 57, 71], "Their": [3, 17, 32, 34, 39, 55, 57, 59, 71], "mani": [3, 11, 13, 14, 17, 24, 25, 27, 29, 33, 34, 35, 39, 42, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 73], "stronger": [3, 12, 17, 34], "interpret": [3, 5, 9, 11, 13, 17, 24, 25, 27, 29, 32, 34, 35, 41, 44, 51, 52, 53, 54, 55, 59, 75], "ssrbool": [3, 17, 57], "ssrmatch": [3, 17, 57], "scope": [3, 5, 11, 17, 24, 25, 27, 29, 32, 36, 38, 43, 45, 52, 54, 55, 57, 59, 60, 64, 66], "bool_scop": [3, 17, 41, 71], "abort": [3, 11, 17, 34, 42, 44, 54, 55, 57, 64, 66, 67], "amokran": [4, 24], "sa\u00efbi": [4, 24], "prover": [4, 5, 15, 17, 24, 26, 29, 31, 33, 52, 55, 59, 65, 73, 75, 76], "power": [4, 5, 11, 17, 24, 54, 57, 67, 71, 72], "our": [4, 5, 7, 11, 17, 24, 34, 35, 54], "determin": [4, 13, 17, 31, 34, 36, 40, 41, 43, 53, 54, 57, 58, 64, 66, 67, 71, 72, 75], "appropri": [4, 13, 14, 17, 29, 53, 55, 57, 59, 62, 64, 66, 67, 75], "sens": [4, 24, 26, 30, 54, 55, 57, 71], "subtyp": [4, 9, 14, 17, 25, 31, 35, 39, 77], "certain": [4, 11, 17, 24, 29, 44, 46, 51, 54, 57, 58, 59, 64, 67, 71], "categori": [4, 8, 13, 17, 35, 51, 59, 61, 74, 75], "biject": [4, 17], "morphism": [4, 11, 17, 25, 59, 71], "famili": [4, 14, 17, 24, 25, 34, 40, 54, 55, 63, 67, 71], "coercion_class": [4, 71], "user": [4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 25, 29, 32, 33, 34, 35, 36, 37, 39, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76, 77], "sortclass": [4, 17, 57, 71], "funclass": [4, 17, 41, 71], "formal": [4, 6, 10, 17, 24, 25, 26, 29, 31, 32, 34, 37, 39, 41, 51, 55, 57, 67, 77], "don": [4, 10, 13, 14, 17, 28, 34, 35, 37, 46, 52, 53, 54, 57, 58, 60, 62, 64, 66], "confus": [4, 10, 13, 17, 24, 26, 29, 34, 44, 46, 52, 55, 57, 71], "target": [4, 11, 17, 25, 51, 58, 71], "x\u2081": 4, "a\u2081": 4, "x\u2096": 4, "a\u2096": 4, "v\u2081": 4, "v\u2099": [4, 55], "u\u2081": 4, "u\u2098": 4, "new": [4, 5, 6, 8, 10, 13, 14, 15, 25, 27, 29, 31, 32, 34, 36, 37, 39, 42, 43, 46, 51, 52, 54, 55, 58, 59, 60, 61, 64, 66, 67, 71, 72, 73, 75, 77], "ignor": [4, 13, 14, 17, 24, 29, 31, 34, 35, 44, 51, 52, 53, 54, 57, 58, 60, 64, 66, 71], "exactli": [4, 10, 11, 13, 17, 26, 27, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 66, 67, 71], "uniform": [4, 17, 24, 34, 40, 44, 54, 55], "recommend": [4, 8, 13, 14, 15, 17, 32, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 72, 74, 75], "guarante": [4, 14, 17, 51, 52, 53, 55], "spuriou": [4, 17, 57, 71], "coerc": [4, 41, 57, 60, 64], "t\u2081": 4, "t\u2099": 4, "toward": [4, 17, 53], "intuit": [4, 11, 17, 24, 29, 55, 58, 62], "synthes": [4, 17, 24, 27, 28, 42, 46, 77], "precis": [4, 8, 13, 17, 24, 26, 29, 31, 33, 34, 35, 37, 39, 46, 51, 57, 64, 71], "doesn": [4, 14, 17, 29, 31, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 66, 67, 71, 73], "look": [4, 8, 9, 11, 13, 14, 16, 17, 25, 51, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72, 75], "incom": [4, 17], "necessarili": [4, 46, 67, 72], "semi": [4, 11, 17], "lattic": 4, "forget": [4, 11, 37, 55, 59, 60, 67], "harder": [4, 17, 58], "There": [4, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 34, 37, 38, 39, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 75], "subclass": [4, 10, 13, 27, 39, 42, 59], "oldest": [4, 17], "notat": [4, 5, 9, 10, 11, 14, 24, 25, 26, 28, 29, 31, 33, 34, 35, 36, 37, 38, 40, 41, 45, 46, 51, 52, 53, 57, 58, 60, 64, 67, 73, 74, 75, 77], "f\u2081": 4, "f\u2096": 4, "ident_decl": [4, 9, 13, 28, 30, 32, 34, 37, 38, 40, 42, 59], "def_bodi": [4, 32, 38, 42], "unspecifi": [4, 14, 17, 43, 55, 62, 67], "ye": [4, 9, 11, 14, 17, 29, 34, 37, 42, 51, 53, 59, 67], "field": [4, 5, 7, 12, 13, 14, 17, 24, 25, 42, 51, 53, 55, 59, 61, 74], "nonuniform": [4, 17], "silenc": [4, 17, 24, 41, 46, 57, 62, 74], "18": [4, 13, 25, 57, 58, 59, 60, 64], "futur": [4, 9, 10, 13, 14, 17, 32, 41, 51, 52, 53, 57, 62, 66, 71, 77], "ambigu": [4, 17, 25, 46, 53, 57, 59, 60, 66, 71], "yield": [4, 11, 17, 24, 31, 46, 54, 55, 58, 67, 71], "f\u2099": 4, "report": [4, 8, 12, 17, 24, 29, 52, 54, 55, 59, 64, 72, 77], "definition": [4, 12, 17, 31, 32, 35, 37, 64], "circular": [4, 17, 57], "assumpt": [4, 10, 17, 24, 25, 26, 32, 33, 34, 35, 36, 44, 51, 52, 53, 54, 58, 59, 60, 66, 67, 77], "induct": [4, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 29, 30, 31, 32, 33, 35, 37, 41, 42, 44, 52, 54, 55, 57, 58, 59, 60, 62, 64, 65, 66, 73, 75, 77], "of_typ": [4, 17, 28], "src": [4, 53], "dest": [4, 17], "x\u2099": [4, 55], "t\u2098": 4, "word": [4, 14, 17, 30, 42, 51, 52, 53, 55, 58, 66], "context": [4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 29, 30, 31, 32, 34, 35, 38, 41, 43, 44, 51, 52, 59, 60, 62, 64, 66, 67, 71], "forc": [4, 8, 11, 17, 24, 34, 42, 44, 52, 53, 54, 57, 60, 64, 66, 67, 71], "updat": [4, 8, 15, 17, 24, 36, 37, 46, 52, 53, 58, 59, 67, 71], "last": [4, 5, 9, 17, 24, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72], "record_definit": [4, 13, 30, 34, 37], "redefin": [4, 17, 54, 55, 57, 66, 71, 75], "forgotten": 4, "atom": [4, 5, 8, 14, 17, 26, 60, 62, 67, 71], "bool_in_nat": 4, "unset": [4, 5, 12, 14, 17, 24, 25, 34, 35, 37, 38, 42, 44, 46, 51, 54, 55, 57, 59, 66, 67, 71], "none": [4, 5, 13, 17, 24, 27, 34, 40, 42, 46, 51, 54, 55, 57, 66, 71], "remark": [4, 17, 24, 25, 32, 34], "co": [4, 10, 11, 17, 24, 25, 42, 44, 54, 57, 59, 64, 67, 71, 77], "fg": 4, "bij": 4, "ap": [4, 11], "ssort": 4, "sstuff": 4, "s_nat": 4, "compar": [4, 5, 11, 14, 17, 24, 25, 37, 42, 53, 54, 55, 57, 58, 64, 66, 67, 73], "fct": 4, "incr_fct": 4, "fct_of_incr_fct": 4, "illeg": 4, "id_fct_funclass": 4, "reverse_coercion": [4, 17], "reversecoercionsourc": 4, "reversecoerciontarget": 4, "fr\u00e9d\u00e9ric": [5, 17, 57], "besson": [5, 17], "evgeni": [5, 17], "makarov": [5, 17], "mathbb": [5, 7, 17], "lqa": 5, "incomplet": [5, 8, 10, 17, 24, 46, 58, 66, 67, 71], "option": [5, 8, 9, 10, 11, 13, 14, 16, 24, 25, 26, 27, 34, 35, 38, 40, 42, 44, 46, 50, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 74], "john": [5, 77], "harrison": 5, "hol": 5, "light": [5, 17, 24, 52, 66, 75], "driver": 5, "csdp": 5, "gener": [5, 7, 8, 9, 12, 13, 17, 24, 25, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 43, 46, 51, 52, 53, 58, 59, 60, 61, 62, 64, 66, 75, 77], "cach": [5, 12, 17], "rerun": 5, "script": [5, 8, 17, 24, 25, 35, 42, 43, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 73], "info": [5, 17, 54, 60], "dump": [5, 17, 24, 51, 75], "arith": [5, 11, 17, 24, 53, 59, 60, 72], "profil": [5, 17, 25, 53, 59, 64], "statist": [5, 17, 66], "pivot": 5, "detect": [5, 8, 17, 25, 41, 44, 52, 53, 57, 66], "ineffici": [5, 17, 24, 57], "formula": [5, 7, 26, 57, 58, 62, 77], "numer": [5, 11, 17, 24, 27, 29, 59, 71], "subtract": [5, 57], "exponenti": [5, 17, 29], "implb": [5, 17, 27], "negb": [5, 13, 27, 62, 71], "comparison": [5, 14, 17, 24, 42], "gtb": 5, "ltb": [5, 17, 59], "geb": 5, "leb": [5, 9, 17, 57, 59], "rather": [5, 11, 13, 17, 24, 29, 30, 34, 35, 53, 54, 55, 57, 58, 59, 64, 67, 71], "resp": [5, 17, 34, 36, 46, 57], "rang": [5, 17, 26, 29, 52, 55, 58, 71], "r0": [5, 17], "rmult": [5, 11], "rplu": 5, "rminu": 5, "izr": [5, 17, 71], "q2r": [5, 57], "rinv": 5, "decim": [5, 17, 27, 29, 59, 71], "hilbert": [5, 7, 17], "nullstellensatz": [5, 7, 17], "reli": [5, 17, 24, 30, 32, 33, 34, 38, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71], "notion": [5, 11, 17, 24, 25, 26, 27, 33, 34, 46, 51, 54, 55, 58, 64, 71, 77], "cone": [5, 17], "polynomi": [5, 7, 17, 24, 25, 61], "mathit": [5, 26, 34], "under": [5, 9, 11, 17, 25, 32, 40, 44, 46, 52, 53, 54, 55, 59, 64, 66, 67], "dfrac": 5, "quad": 5, "p_1": [5, 7, 34, 35], "p_2": [5, 35], "join": [5, 24], "inequ": [5, 17, 24, 60], "belong": [5, 8, 11, 26, 29, 34, 37, 39, 53, 54, 57, 59, 60, 63, 67, 71, 75], "bigwedge_": 5, "ge": [5, 17, 27], "unsatisfi": [5, 60], "neg": [5, 17, 29, 30, 37, 64, 66, 71], "absurd": [5, 27, 34, 51, 58], "squar": [5, 17, 24, 44, 54, 59, 71, 75], "bigwedge_i": 5, "c_i": [5, 34, 35], "j": [5, 6, 8, 14, 17, 24, 25, 26, 34, 36, 39, 43, 51, 54, 57, 64, 72, 77], "s_i": [5, 7, 34], "p_j": [5, 34], "oracl": 5, "within": [5, 17, 24, 28, 29, 31, 33, 35, 37, 38, 41, 42, 44, 51, 52, 54, 55, 58, 59, 60, 64, 66, 71], "upon": [5, 11, 36, 43, 51], "equat": [5, 6, 14, 17, 24, 25, 27, 34, 40, 42, 46, 53, 55, 58, 60, 61, 64, 67, 72], "explor": [5, 17, 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"pphi_dev": 11, "norm": 11, "bruno": [11, 17, 24], "barra": [11, 17, 24], "benjamin": [11, 17, 77], "gr\u00e9goir": [11, 17], "assia": [11, 17, 42, 57, 77], "mahboubi": [11, 17, 42, 57, 77], "laurent": [11, 17, 24], "th\u00e9ry": [11, 17, 24], "dedic": [11, 17, 24, 29, 36, 55, 57], "semir": [11, 17], "oplu": 11, "otim": 11, "distribut": [11, 17, 24, 25, 50, 73, 75], "uniti": 11, "v_0": 11, "v_1": [11, 31], "dot": [11, 14, 17, 24, 35, 37, 52, 59, 71], "v_": [11, 26], "i_n": [11, 57], "i_2": [11, 57], "sum": [11, 17, 24, 27, 35, 38, 40, 55, 62, 67, 71], "yx": 11, "25": [11, 44], "zx": 11, "28x": 11, "24": [11, 17, 44, 53, 77], "xz": 11, "xxy": 11, "yz": 11, "zy": 11, "frequent": [11, 17, 25, 53, 57, 66, 67, 71], "rare": [11, 17, 66], "gallina": [11, 17, 25, 41, 66, 75], "mult": [11, 17, 24, 26, 27, 57], "mapsto": 11, "v_2": 11, "paragraph": [11, 27, 35, 40, 57, 75], "polynom": 11, "common": [11, 14, 17, 25, 26, 27, 29, 31, 32, 34, 42, 55, 57, 60, 67, 71, 74], "predefin": [11, 24, 25, 51, 52, 66], "arithr": 11, "zarithr": 11, "narithr": [11, 17], "narith": [11, 17], "zifi": [11, 17, 25, 29, 54, 55, 57, 60], "micromega": [11, 17, 25, 29, 54, 55, 57, 60, 61, 66], "btauto": [11, 17, 29, 57, 62], "30": [11, 17, 24, 27, 71], "Not": [11, 17, 32, 44, 51, 52, 54, 55, 58, 64, 67, 72, 75, 77], "ring_simplifi": [11, 17], "invok": [11, 17, 34, 51, 53, 60, 66, 67, 75], "lookup": 11, "ltac_expr0": [11, 54], "protect": [11, 17, 30, 57], "fv": 11, "ring_theori": 11, "semi_ring_theori": 11, "mk_rt": 11, "radd_0_l": 11, "radd_sym": 11, "radd_assoc": 11, "rmul_1_l": 11, "rmul_sym": 11, "rmul_assoc": 11, "rdistr_l": 11, "rsub_def": 11, "ropp_def": 11, "mk_srt": 11, "sradd_0_l": 11, "sradd_sym": 11, "sradd_assoc": 11, "srmul_1_l": 11, "srmul_0_l": 11, "srmul_sym": 11, "srmul_assoc": 11, "srdistr_l": 11, "surject": [11, 37], "ring_morph": 11, "mkmorph": 11, "morph0": 11, "morph1": 11, "ci": [11, 17, 53, 57, 73], "morph_add": 11, "morph_sub": 11, "morph_mul": 11, "morph_opp": 11, "morph_eq": 11, "semi_morph": 11, "mkrmorph": 11, "smorph0": 11, "smorph1": 11, "smorph_add": 11, "smorph_mul": 11, "smorph_eq": 11, "c0": [11, 59], "cpow": 11, "cp_phi": 11, "rpow": 11, "power_theori": 11, "mkpow_th": 11, "rpow_pow_n": 11, "pow_n": 11, "ring_mod": 11, "preprocess": [11, 17], "postprocess": 11, "tailor": 11, "setoid_theori": [11, 17], "ring_eq_ext": 11, "sring_eq_ext": 11, "initialr": 11, "notconst": 11, "nontrivi": [11, 17, 46, 51, 57], "preliminari": 11, "better": [11, 14, 17, 24, 51, 52, 53, 57, 59, 60, 64, 67, 71, 72], "undo": [11, 17, 52, 54, 58, 59, 66], "preprocessor": [11, 24], "expon": [11, 17, 29, 71], "realfield": 11, "minu": [11, 17, 29, 41, 72], "get_sign": 11, "euclidean": [11, 17, 24, 25, 57], "div_theori": 11, "7x": 11, "good": [11, 17, 53, 54, 55, 57, 66], "philosoph": 11, "calculu": [11, 14, 17, 24, 25, 27, 29, 31, 33, 34, 35, 37, 46, 54, 57, 58, 62, 64, 66, 67, 71, 77], "strongli": [11, 15, 17, 34, 35, 44, 53, 54, 57, 59], "advis": [11, 17, 24, 25, 28, 29, 30, 54, 60], "ring_polynom": 11, "pexpr": 11, "pesub": 11, "peopp": 11, "pepow": 11, "pol": 11, "pc": 11, "pinj": 11, "px": [11, 24, 57], "v_i": [11, 31], "big": [11, 14, 17, 57, 59, 71], "pphi_dev_ok": 11, "pe": 11, "npe": 11, "piec": [11, 42, 43, 53, 55, 57], "summar": [11, 51, 57, 66], "diagram": 11, "chosen": [11, 34, 54, 55, 57, 58, 66, 71], "denomin": [11, 17, 37, 71], "neq": 11, "broken": [11, 17, 71], "proven": [11, 17, 52, 58, 64, 66, 67], "rbase": [11, 17, 24], "qcanon": 11, "r_scope": [11, 71], "auto": [11, 13, 14, 17, 24, 29, 34, 41, 44, 51, 52, 54, 57, 58, 59, 60, 62, 66, 67, 72], "h1": [11, 17, 34, 43, 54, 55, 57, 58, 62, 66, 67], "f_1": [11, 34], "f_2": [11, 34], "n_1": [11, 26], "d_1": 11, "n_2": 11, "d_2": 11, "cancel": [11, 38, 41, 57, 66], "field_theori": 11, "semi_field_theori": 11, "semifield": 11, "mk_field": 11, "f_r": 11, "ro": 11, "ri": [11, 17, 51], "radd": 11, "rmul": 11, "rsub": 11, "ropp": 11, "req": 11, "f_1_neq_0": 11, "fdiv_def": 11, "finv_l": 11, "mk_sfield": 11, "sf_sr": 11, "sf_1_neq_0": 11, "sfdiv_def": 11, "sfinv_l": 11, "mk_linear": 11, "num": [11, 17], "denum": 11, "field_mod": 11, "samuel": [11, 17, 24], "boutin": [11, 24, 77], "acdsimpl": 11, "zmult_comm": 11, "eq_ind_r": [11, 27], "z0": [11, 17, 71], "mul_comm": [11, 59], "hundr": [11, 64], "rewrot": [11, 17], "bou97": [11, 77], "later": [11, 17, 25, 31, 32, 43, 44, 50, 53, 55, 57, 58, 66, 67, 71], "patrick": [11, 24], "loiseleur": [11, 24], "interleav": [11, 17, 58], "he": [11, 17, 24, 57], "wrote": [11, 17, 24], "larg": [11, 14, 17, 25, 26, 29, 34, 35, 39, 52, 53, 54, 57, 61, 64, 66, 67, 71, 75], "motiv": [11, 17, 55, 57, 77], "34": [11, 53, 71, 77], "12": [11, 25, 29, 53, 54, 57, 58, 60, 71], "46": [11, 77], "ominu": 11, "v_3": 11, "far": [11, 24, 46, 52, 57, 66, 71], "faster": [11, 17, 24, 51, 58, 59, 62, 64], "free": [11, 17, 24, 26, 34, 44, 52, 54, 55, 57, 58, 62, 64, 71, 75, 77], "difficult": [11, 17, 29, 55, 72], "ultim": 11, "answer": [11, 46, 53], "intens": [11, 17, 24, 64], "classic": [11, 17, 24, 25, 34, 51, 55, 57, 66], "tautologi": [11, 17, 24, 54, 62], "backtrack": [11, 13, 17, 24, 25, 52, 58, 60, 67], "clearli": [11, 24, 71, 74], "significantli": [11, 17, 24, 57, 66], "idea": [11, 17, 34, 42, 54], "suggest": [11, 17, 24, 25, 34, 51, 52, 53, 57, 66], "werner": [11, 17, 24, 77], "coupl": [11, 17, 46, 53, 57, 75], "tool": [11, 14, 25, 29, 51, 52, 53, 54, 57, 59, 66, 71, 72, 75, 77], "model": [11, 17, 24, 57, 77], "trace": [11, 13, 17, 25, 32, 51, 53, 57, 58, 59], "replai": [11, 57], "footnot": [11, 38, 57, 71], "bytecod": [12, 17, 59, 64], "gcst19": [12, 39, 77], "strictprop": [12, 17], "startup": [12, 51, 53, 60], "purpos": [12, 14, 17, 24, 27, 34, 35, 42, 51, 52, 54, 55, 57, 64, 66, 67, 71], "hx": [12, 57, 58], "\u03b7": [12, 17, 25, 30], "tractabl": 12, "cumul": [12, 13, 17, 24, 25, 26, 29, 30, 31, 34, 37, 40, 71], "forbidden": [12, 17, 24, 25], "relev": [12, 17, 24, 28, 30, 32, 34, 40, 46, 51, 53, 54, 57, 58, 64, 66, 71], "world": [12, 17, 24, 55, 57, 77], "escap": [12, 17, 25, 51, 53, 71], "box": [12, 17, 29, 54, 71], "box_rect": 12, "box_ind": 12, "box_rec": 12, "box_sind": 12, "box_irrelev": 12, "squash": [12, 14, 17], "isquash": 12, "isquash_sind": 12, "Or": [12, 17, 41, 53, 58, 71], "sempti": 12, "sempty_rect": 12, "sempty_ind": 12, "sempty_rec": 12, "sempty_sind": 12, "foo_sind": 12, "foo_ind": [12, 17, 57], "sprod": 12, "sfst": 12, "ssnd": 12, "extension": [12, 17, 27, 30, 57], "rbox": 12, "runbox": 12, "ssig": 12, "spr1": 12, "spr2": 12, "trivial": [12, 13, 14, 17, 34, 46, 53, 54, 55, 57, 58, 60, 66, 67], "sunit": 12, "stt": 12, "sunit_rect": 12, "is_tru": [12, 57], "is_true_eq_tru": 12, "eq_true_is_tru": 12, "seq": [12, 13, 30, 46, 55, 57, 67], "srefl": [12, 46], "seq_rect": [12, 46], "seq_ind": [12, 46], "seq_rec": [12, 46], "seq_sind": [12, 46], "hidden_arrow": 12, "stuck": [12, 13, 17], "Such": [12, 30, 35, 42, 44, 53, 55, 59, 71, 75], "around": [12, 17, 24, 29, 46, 52, 53, 55, 57, 58, 59, 64, 67, 71, 75], "ac19": [12, 77], "all_eq": 12, "transport": [12, 17], "timeout": [12, 17, 25, 59, 64], "infinit": [12, 30, 34, 39], "binder": [12, 13, 17, 24, 25, 30, 32, 34, 37, 38, 40, 52, 54, 55, 58, 59, 63, 64, 67, 75], "bug": [12, 17, 24, 52, 54, 66], "incorrectli": [12, 17, 55], "leav": [12, 13, 17, 32, 35, 52, 54, 57, 58, 59, 60, 64, 66, 67], "silent": [12, 14, 17, 24, 29, 51, 53, 59, 66, 72], "repair": [12, 17], "affect": [12, 17, 24, 29, 34, 41, 44, 46, 53, 54, 55, 57, 59, 60, 64, 66, 71], "programmat": 13, "quick": [13, 17, 24, 27, 54, 57, 66, 74], "paper": [13, 24, 42, 54, 57, 72, 77], "so08": [13, 77], "literatur": [13, 34], "class": [13, 17, 24, 25, 27, 28, 35, 39, 42, 44, 57, 59, 60, 62, 64], "classnam": 13, "p1": [13, 17, 37, 57, 67], "pn": [13, 17, 57], "f1": [13, 17, 41, 51, 57, 71], "fm": 13, "um": [13, 57], "instancenam": 13, "qm": 13, "tm": 13, "pi": [13, 17, 52], "ti": [13, 57], "fi": 13, "rise": [13, 24], "ll": [13, 17, 34, 52, 53], "eqdec": [13, 38, 60], "eqb_leibniz": 13, "unit_eqdec": 13, "member": [13, 42, 55], "oblig": [13, 17, 25, 37, 57, 62, 72], "eq_bool": 13, "discrimin": [13, 17, 24, 54, 57, 58, 59, 60, 62, 64, 66], "richer": [13, 25], "facil": [13, 17, 24, 52, 54, 55, 57, 59], "neqb": 13, "generaliz": [13, 17, 44], "neqb_implicit": 13, "prod_eqb": 13, "ea": 13, "eb": 13, "la": [13, 17, 24, 52, 55, 77], "ra": 13, "lb": 13, "rb": 13, "prod_eqb_obligation_1": 13, "eas": [13, 17, 37, 53, 55, 57, 58, 66], "eqdec_def": 13, "option_eqb": 13, "program_branch_2": 13, "y1": [13, 27, 42, 46, 59], "option_eqb_obligation_1": 13, "option_eqb_obligation_2": 13, "option_eqb_obligation_3": 13, "type_scop": [13, 14, 17, 25, 34, 44, 46, 52, 54, 58, 66, 67], "1182": 13, "1383": 13, "redeclar": [13, 17], "ord": [13, 57], "le_eqb": 13, "compon": [13, 17, 24, 25, 30, 33, 34, 35, 37, 42, 51, 52, 53, 54, 57, 59, 60, 71], "preorder": [13, 57, 59], "preorder_reflex": [13, 59], "preorder_transit": 13, "easili": [13, 17, 53, 57, 72], "useless": [13, 14, 17, 24, 25, 37, 46, 60], "templat": [13, 17, 25, 30, 37, 40, 66], "privat": [13, 14, 17, 25, 29, 30, 34, 37], "queri": [13, 17, 25], "hint_info": [13, 60], "field_val": [13, 37], "prioriti": [13, 17, 37, 46, 52, 57, 59, 66, 71], "one_pattern": [13, 59, 60], "trigger": [13, 17, 25, 29, 44, 54, 55, 57, 60, 71], "bf": [13, 17], "df": [13, 17], "best": [13, 17, 53, 54, 57, 60, 71], "effort": [13, 17, 24, 63, 74], "engin": [13, 17, 24, 33, 43, 55, 57, 58, 64, 77], "multi": [13, 17, 25, 52, 54, 55, 66, 75], "analys": 13, "hintdb": [13, 17, 55, 60], "full": [13, 14, 17, 24, 25, 30, 34, 43, 46, 52, 57, 58, 64, 66, 71, 77], "suspend": [13, 17, 66], "until": [13, 14, 17, 24, 26, 31, 32, 34, 40, 52, 54, 55, 57, 60, 64, 66, 67, 72], "reach": [13, 52, 58], "breadth": 13, "deepen": 13, "best_effort": [13, 17], "couldn": 13, "maximum": [13, 17, 46, 60, 62, 64, 66], "unbound": [13, 14, 17, 54, 55, 58], "count": [13, 17, 25, 51, 57, 58, 59, 64, 66, 67], "faithfulli": 13, "mimic": [13, 37, 57], "move": [13, 17, 24, 25, 43, 52, 53, 55, 66, 67, 71], "autoappli": [13, 17], "shortcut": [13, 17, 25, 52, 55, 64, 71], "prevent": [13, 17, 29, 34, 41, 42, 51, 53, 54, 57, 64, 71], "releas": [13, 15, 17, 24, 25, 52, 53, 57, 63, 74], "filter": [13, 17, 30, 51, 53, 59, 60], "assign": [13, 17, 25, 27, 29, 43, 51, 52, 53, 54, 55, 58, 66, 71], "eta": [13, 17, 25, 31, 37], "expens": [13, 17, 54, 66], "rebuild": [13, 17], "benefit": [13, 17, 51, 57], "invert": [13, 17, 57, 67, 72], "elabor": [13, 14, 17, 25, 33, 37, 41, 44, 45, 51, 55, 58], "stricter": [13, 14, 17], "freez": 13, "verbos": [13, 17, 42, 51, 59], "successfulli": [13, 51, 52, 54, 57, 62, 63], "reus": [14, 17, 41, 57, 58, 59, 63, 64, 66], "sometim": [14, 17, 24, 25, 31, 34, 46, 53, 54, 55, 57, 59, 60, 66, 67, 71], "incompat": [14, 24, 25, 34, 41, 46, 57, 59, 66, 71], "self": [14, 17, 54, 55, 67, 71], "selfid": 14, "pident": 14, "167": 14, "176": 14, "selfpid": 14, "monoid": [14, 55], "ourselv": [14, 34], "mon_car": 14, "mon_unit": 14, "mon_op": 14, "build_monoid": 14, "function_scop": [14, 17, 25, 34, 46, 57, 67], "unit_monoid": 14, "greater": [14, 17, 24, 34, 52, 71], "pprod": 14, "max": [14, 17, 24, 39, 46, 54, 59], "ppair": 14, "pfst": 14, "psnd": 14, "40": [14, 17, 27, 41, 71], "core_scop": [14, 71], "cartesian": [14, 54], "monoid_op": 14, "prod_monoid": 14, "monoids_monoid": 14, "live": [14, 17, 51, 55], "coinduct": [14, 17, 25, 26, 32, 33, 34, 37, 40, 46, 54, 59, 67, 71], "attribtu": 14, "list_rect": [14, 34, 41, 44, 46, 57, 67], "list_ind": [14, 34, 41, 44, 46, 57, 67], "list_rec": [14, 34, 41, 44, 46, 57, 67], "list_sind": [14, 34, 41, 44, 46, 57, 67], "invari": [14, 17, 55], "covari": 14, "irrelev": [14, 17, 25, 32, 33, 34, 39, 54, 55, 57, 64, 77], "contravari": 14, "\u03b3": [14, 26, 31, 34, 35, 38, 55], "\u03b2\u03b4\u03b9\u03b6\u03b7": [14, 26, 31, 34, 35], "packtyp": 14, "pk": [14, 57], "1604": 14, "1612": 14, "lower": [14, 17, 25, 52, 54, 55, 57, 60, 64, 71], "monad": [14, 17, 55], "build_monad": 14, "dummy_rect": 14, "dummy_ind": 14, "dummy_rec": 14, "dummy_sind": 14, "2170": 14, "2175": 14, "insuffici": [14, 17, 51], "101": 14, "invariant_rect": 14, "invariant_ind": 14, "invariant_rec": 14, "invariant_sind": 14, "covariant_rect": 14, "covariant_ind": 14, "covariant_rec": 14, "covariant_sind": 14, "irrelevant_rect": 14, "irrelevant_ind": 14, "irrelevant_rec": 14, "irrelevant_sind": 14, "low": [14, 17, 25], "high": [14, 17, 24, 25, 35, 59, 60, 66, 72], "inv_low": 14, "inv_high": 14, "co_low": 14, "co_high": 14, "irr_low": 14, "irr_high": 14, "eq_rect": [14, 17, 27, 34, 40, 67], "eq_ind": [14, 27, 40], "eq_rec": [14, 27, 34, 40], "eq_sind": [14, 27, 40], "inhabit": [14, 29, 31, 32, 34, 37, 40, 43, 46, 51], "fit": [14, 17, 29, 34, 52, 55, 57, 71], "funext_typ": 14, "funext_down": 14, "145": [14, 53], "146": 14, "delai": [14, 17, 25, 40, 64], "flexibl": [14, 17, 55, 58, 64], "discard": [14, 17, 52, 54, 55, 58, 64, 75], "predict": [14, 17, 54, 64], "indistinguish": [14, 37], "accomplish": [14, 57], 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"collabor": 77, "tel": 77, "ouvert": 77, "02451322": 77}, "objects": {"&quot;All&quot; is a predefined collection containing all variables": [[66, 0, 1, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined", " It can&#x27;t be redefined"]], "": [[71, 0, 1, "coq:exn.'via'-and-'abstract'-cannot-be-used-together", "&#x27;via&#x27; and &#x27;abstract&#x27; cannot be used together"], [54, 1, 1, "coq:tacn.+-(backtracking-branching)", "+ (backtracking branching)"], [57, 1, 1, "coq:tacn.=>", "=&gt;"], [66, 3, 1, "coq:cmd.Abort", "Abort"], [59, 3, 1, "coq:cmd.About", "About"], [71, 2, 1, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry", "Activation of abbreviations does not expect mentioning a grammar entry"], [71, 2, 1, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope", "Activation of abbreviations does not expect mentioning a scope"], [29, 3, 1, "coq:cmd.Add", "Add"], [11, 3, 1, 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[64, 0, 1, "coq:exn.Cannot-find-a-relation-to-rewrite", "Cannot find a relation to rewrite"], [64, 0, 1, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019", "Cannot find any non-recursive equality over \u2018ident\u2019"], [72, 0, 1, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019", "Cannot find induction information on \u2018qualid\u2019"], [72, 0, 1, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019", "Cannot find inversion information for hypothesis \u2018ident\u2019"], [59, 0, 1, "coq:exn.Cannot-find-library-foo-in-loadpath", "Cannot find library foo in loadpath"], [4, 0, 1, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019", "Cannot find the source class of \u2018qualid\u2019"], [4, 0, 1, "coq:exn.Cannot-find-the-target-class", "Cannot find the target class"], [35, 2, 1, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored", "Cannot import local constant, it will be ignored"], [71, 0, 1, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment", "Cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment"], [71, 0, 1, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this number as a value of type \u2018type\u2019"], [71, 0, 1, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this string as a value of type \u2018type\u2019"], [59, 0, 1, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019", "Cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019"], [62, 0, 1, "coq:exn.Cannot-recognize-a-boolean-equality", "Cannot recognize a boolean equality"], [67, 0, 1, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019", "Cannot recognize a statement based on \u2018reference\u2019"], [4, 0, 1, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019", "Cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019"], [64, 0, 1, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference", "Cannot turn [inductive|constructor] into an evaluable reference"], [72, 0, 1, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure", "Cannot use mutual definition with well-founded recursion or measure"], [42, 3, 1, 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"coq:cmd.Conjecture", "Conjecture"], [28, 3, 1, "coq:cmd.Conjectures", "Conjectures"], [14, 3, 1, "coq:cmd.Constraint", "Constraint"], [38, 3, 1, "coq:cmd.Context", "Context"], [44, 4, 1, "coq:flag.Contextual-Implicit", "Contextual Implicit"], [51, 4, 1, "coq:flag.Coqtop-Exit-On-Error", "Coqtop Exit On Error"], [32, 3, 1, "coq:cmd.Corollary", "Corollary"], [60, 3, 1, "coq:cmd.Create-HintDb", "Create HintDb"], [14, 7, 1, "coq:attr.Cumulative", "Cumulative"], [14, 4, 1, "coq:flag.Cumulativity-Weak-Constraints", "Cumulativity Weak Constraints"], [54, 3, 1, "coq:cmd.Debug", "Debug"], [59, 6, 1, "coq:opt.Debug", "Debug"], [60, 4, 1, "coq:flag.Debug-Auto", "Debug Auto"], [60, 4, 1, "coq:flag.Debug-Eauto", "Debug Eauto"], [57, 4, 1, "coq:flag.Debug-SsrMatching", "Debug SsrMatching"], [57, 4, 1, "coq:flag.Debug-Ssreflect", "Debug Ssreflect"], [60, 4, 1, "coq:flag.Debug-Trivial", "Debug Trivial"], [54, 0, 1, "coq:exn.Debug-mode-not-available-in-the-IDE", "Debug mode not available in the IDE"], [67, 4, 1, "coq:flag.Decidable-Equality-Schemes", "Decidable Equality Schemes"], [71, 3, 1, "coq:cmd.Declare-Custom-Entry", "Declare Custom Entry"], [64, 3, 1, "coq:cmd.Declare-Equivalent-Keys", "Declare Equivalent Keys"], [13, 3, 1, "coq:cmd.Declare-Instance", "Declare Instance"], [64, 3, 1, "coq:cmd.Declare-Left-Step", "Declare Left Step"], [59, 3, 1, "coq:cmd.Declare-ML-Module", "Declare ML Module"], [35, 3, 1, "coq:cmd.Declare-Module", "Declare Module"], [3, 3, 1, "coq:cmd.Declare-Morphism", "Declare Morphism"], [64, 3, 1, "coq:cmd.Declare-Reduction", "Declare Reduction"], [64, 3, 1, "coq:cmd.Declare-Right-Step", "Declare Right Step"], [71, 3, 1, "coq:cmd.Declare-Scope", "Declare Scope"], [60, 2, 1, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead", "Declaring arbitrary terms as hints is fragile and deprecated; it is recommended to declare a toplevel constant instead"], [58, 6, 1, "coq:opt.Default-Goal-Selector", "Default Goal Selector"], [66, 6, 1, "coq:opt.Default-Proof-Mode", "Default Proof Mode"], [66, 6, 1, "coq:opt.Default-Proof-Using", "Default Proof Using"], [59, 6, 1, "coq:opt.Default-Timeout", "Default Timeout"], [66, 3, 1, "coq:cmd.Defined", "Defined"], [32, 3, 1, "coq:cmd.Definition", "Definition"], [12, 4, 1, "coq:flag.Definitional-UIP", "Definitional UIP"], [71, 3, 1, "coq:cmd.Delimit-Scope", "Delimit Scope"], [34, 4, 1, "coq:flag.Dependent-Proposition-Eliminators", "Dependent Proposition Eliminators"], [6, 3, 1, "coq:cmd.Derive", "Derive"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion", "Derive Dependent Inversion"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion_clear", "Derive Dependent Inversion_clear"], [67, 3, 1, "coq:cmd.Derive-Inversion", "Derive Inversion"], [67, 3, 1, "coq:cmd.Derive-Inversion_clear", "Derive Inversion_clear"], [66, 6, 1, "coq:opt.Diffs", "Diffs"], [71, 3, 1, "coq:cmd.Disable-Notation", "Disable Notation"], [59, 3, 1, "coq:cmd.Drop", "Drop"], [5, 6, 1, "coq:opt.Dump-Arith", "Dump Arith"], [59, 0, 1, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the", "Dynlink error: execution of module initializers in the"], [46, 0, 1, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies", "Either there is a type incompatibility or the problem involves dependencies"], [67, 4, 1, "coq:flag.Elimination-Schemes", "Elimination Schemes"], [71, 3, 1, "coq:cmd.Enable-Notation", "Enable Notation"], [38, 3, 1, "coq:cmd.End", "End"], [71, 0, 1, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation", "End of quoted string not followed by a space in notation"], [64, 3, 1, "coq:cmd.Eval", "Eval"], [32, 3, 1, "coq:cmd.Example", "Example"], [13, 3, 1, "coq:cmd.Existing-Class", "Existing Class"], [13, 3, 1, "coq:cmd.Existing-Instance", "Existing Instance"], [13, 3, 1, "coq:cmd.Existing-Instances", "Existing Instances"], [35, 3, 1, "coq:cmd.Export", "Export"], [54, 0, 1, "coq:exn.Expression-does-not-evaluate-to-a-tactic", "Expression does not evaluate to a tactic"], [2, 3, 1, "coq:cmd.Extract-Callback", "Extract Callback"], [2, 0, 1, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction", "Extract Callback is supported only for OCaml extraction"], [2, 3, 1, "coq:cmd.Extract-Constant", "Extract Constant"], [2, 3, 1, "coq:cmd.Extract-Foreign-Constant", "Extract Foreign Constant"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction", "Extract Foreign Constant is supported only for OCaml extraction"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions", "Extract Foreign Constant is supported only for functions"], [2, 3, 1, "coq:cmd.Extract-Inductive", "Extract Inductive"], [2, 3, 1, "coq:cmd.Extract-Inlined-Constant", "Extract Inlined Constant"], [2, 3, 1, "coq:cmd.Extraction", "Extraction"], [2, 4, 1, "coq:flag.Extraction-AutoInline", "Extraction AutoInline"], [2, 3, 1, "coq:cmd.Extraction-Blacklist", "Extraction Blacklist"], [2, 4, 1, "coq:flag.Extraction-Conservative-Types", "Extraction Conservative Types"], [2, 6, 1, "coq:opt.Extraction-File-Comment", "Extraction File Comment"], [2, 6, 1, "coq:opt.Extraction-Flag", "Extraction Flag"], [2, 3, 1, "coq:cmd.Extraction-Implicit", "Extraction Implicit"], [2, 3, 1, "coq:cmd.Extraction-Inline", "Extraction Inline"], [2, 4, 1, "coq:flag.Extraction-KeepSingleton", "Extraction KeepSingleton"], [2, 3, 1, "coq:cmd.Extraction-Language", "Extraction Language"], [2, 3, 1, "coq:cmd.Extraction-Library", "Extraction Library"], [2, 3, 1, "coq:cmd.Extraction-NoInline", "Extraction NoInline"], [2, 4, 1, "coq:flag.Extraction-Optimize", "Extraction Optimize"], [2, 6, 1, "coq:opt.Extraction-Output-Directory", "Extraction Output Directory"], [2, 4, 1, "coq:flag.Extraction-SafeImplicits", "Extraction SafeImplicits"], [2, 3, 1, "coq:cmd.Extraction-TestCompile", "Extraction TestCompile"], [2, 4, 1, "coq:flag.Extraction-TypeExpand", "Extraction TypeExpand"], [32, 3, 1, "coq:cmd.Fact", "Fact"], [59, 3, 1, "coq:cmd.Fail", "Fail"], [54, 0, 1, "coq:exn.Failed-to-progress", "Failed to progress"], [59, 4, 1, "coq:flag.Fast-Name-Printing", "Fast Name Printing"], [59, 0, 1, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019", "File not found on loadpath: \u2018string\u2019"], [59, 0, 1, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs", "Files processed by Load cannot leave open proofs"], [9, 3, 1, "coq:cmd.Final-Obligation", "Final Obligation"], [62, 6, 1, "coq:opt.Firstorder-Depth", "Firstorder Depth"], [62, 6, 1, "coq:opt.Firstorder-Solver", "Firstorder Solver"], [34, 3, 1, "coq:cmd.Fixpoint", "Fixpoint"], [41, 0, 1, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019", "Flag &#x27;rename&#x27; expected to rename \u2018name\u2019 into \u2018name\u2019"], [66, 3, 1, "coq:cmd.Focus", "Focus"], [46, 0, 1, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected", "Found a constructor of inductive type term while a constructor of term is expected"], [64, 0, 1, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause", "Found an &quot;at&quot; clause without &quot;with&quot; clause"], [71, 2, 1, "coq:warn.Found-no-matching-notation-to-enable-or-disable", "Found no matching notation to enable or disable"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal", "Found no subterm matching \u2018term\u2019 in the current goal"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019", "Found no subterm matching \u2018term\u2019 in \u2018ident\u2019"], [4, 0, 1, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019", "Found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019"], [59, 3, 1, "coq:cmd.From-\u2026-Dependency", "From \u2026 Dependency"], [59, 3, 1, "coq:cmd.From-\u2026-Require", "From \u2026 Require"], [4, 0, 1, "coq:exn.Funclass-cannot-be-a-source-class", "Funclass cannot be a source class"], [72, 3, 1, "coq:cmd.Function", "Function"], [72, 3, 1, "coq:cmd.Functional-Case", "Functional Case"], [72, 3, 1, "coq:cmd.Functional-Scheme", "Functional Scheme"], [44, 3, 1, "coq:cmd.Generalizable", "Generalizable"], [72, 3, 1, "coq:cmd.Generate-graph-for", "Generate graph for"], [66, 3, 1, "coq:cmd.Goal", "Goal"], [59, 4, 1, "coq:flag.Guard-Checking", "Guard Checking"], [66, 3, 1, "coq:cmd.Guarded", "Guarded"], [60, 3, 1, "coq:cmd.Hint-Constants", "Hint Constants"], [60, 3, 1, "coq:cmd.Hint-Constructors", "Hint Constructors"], [60, 3, 1, "coq:cmd.Hint-Cut", "Hint Cut"], [60, 3, 1, "coq:cmd.Hint-Extern", "Hint Extern"], [60, 3, 1, "coq:cmd.Hint-Immediate", "Hint Immediate"], [60, 3, 1, "coq:cmd.Hint-Mode", "Hint Mode"], [60, 3, 1, "coq:cmd.Hint-Opaque", "Hint Opaque"], [60, 3, 1, "coq:cmd.Hint-Projections", "Hint Projections"], [60, 3, 1, "coq:cmd.Hint-Resolve", "Hint Resolve"], [60, 3, 1, "coq:cmd.Hint-Rewrite", "Hint Rewrite"], [60, 3, 1, "coq:cmd.Hint-Transparent", "Hint Transparent"], [60, 3, 1, "coq:cmd.Hint-Unfold", "Hint Unfold"], [60, 3, 1, "coq:cmd.Hint-Variables", "Hint Variables"], [57, 3, 1, "coq:cmd.Hint-View-for", "Hint View for"], [57, 3, 1, "coq:cmd.Hint-View-for-apply", "Hint View for apply"], [57, 3, 1, "coq:cmd.Hint-View-for-move", "Hint View for move"], [28, 3, 1, "coq:cmd.Hypotheses", "Hypotheses"], [28, 3, 1, "coq:cmd.Hypothesis", "Hypothesis"], [72, 0, 1, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function", "Hypothesis \u2018ident\u2019 must contain at least one Function"], [66, 6, 1, "coq:opt.Hyps-Limit", "Hyps Limit"], [62, 0, 1, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality", "I don\u2019t know how to handle dependent equality"], [4, 3, 1, "coq:cmd.Identity-Coercion", "Identity Coercion"], [13, 2, 1, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class", "Ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class"], [44, 2, 1, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position", "Ignoring implicit binder declaration in unexpected position"], [9, 0, 1, "coq:exn.Ill-formed-recursive-definition", "Ill-formed recursive definition"], [34, 0, 1, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe", "Ill-formed template inductive declaration: not polymorphic on any universe"], [44, 4, 1, "coq:flag.Implicit-Arguments", "Implicit Arguments"], [44, 3, 1, "coq:cmd.Implicit-Type", "Implicit Type"], [44, 3, 1, "coq:cmd.Implicit-Types", "Implicit Types"], [35, 3, 1, "coq:cmd.Import", "Import"], [35, 3, 1, "coq:cmd.Include", "Include"], [35, 3, 1, "coq:cmd.Include-Type", "Include Type"], [57, 0, 1, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)", "Incorrect number of tactics (expected N tactics, was given M)"], [34, 3, 1, "coq:cmd.Inductive", "Inductive"], [71, 3, 1, "coq:cmd.Infix", "Infix"], [54, 3, 1, "coq:cmd.Info", "Info"], [60, 4, 1, "coq:flag.Info-Auto", "Info Auto"], [60, 4, 1, "coq:flag.Info-Eauto", "Info Eauto"], [54, 6, 1, "coq:opt.Info-Level", "Info Level"], [5, 4, 1, "coq:flag.Info-Micromega", "Info Micromega"], [60, 4, 1, "coq:flag.Info-Trivial", "Info Trivial"], [59, 3, 1, "coq:cmd.Inspect", "Inspect"], [13, 3, 1, "coq:cmd.Instance", "Instance"], [59, 3, 1, "coq:cmd.Instructions", "Instructions"], [62, 4, 1, "coq:flag.Intuition-Negation-Unfolding", "Intuition Negation Unfolding"], [59, 0, 1, "coq:exn.Invalid-backtrack", "Invalid backtrack"], [67, 8, 1, "coq:table.Keep-Equalities", "Keep Equalities"], [67, 4, 1, "coq:flag.Keep-Proof-Equalities", "Keep Proof Equalities"], [64, 4, 1, "coq:flag.Kernel-Term-Sharing", "Kernel Term Sharing"], [64, 4, 1, "coq:flag.Keyed-Unification", "Keyed Unification"], [38, 0, 1, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019", "Last block to end has name \u2018ident\u2019"], [32, 3, 1, "coq:cmd.Lemma", "Lemma"], [38, 3, 1, "coq:cmd.Let", "Let"], [38, 3, 1, "coq:cmd.Let-CoFixpoint", "Let CoFixpoint"], [38, 3, 1, "coq:cmd.Let-Fixpoint", "Let Fixpoint"], [5, 4, 1, "coq:flag.Lia-Cache", "Lia Cache"], [59, 3, 1, "coq:cmd.Load", "Load"], [59, 0, 1, "coq:exn.Load-is-not-supported-inside-proofs", "Load is not supported inside proofs"], [59, 3, 1, "coq:cmd.Locate", "Locate"], [59, 3, 1, "coq:cmd.Locate-File", "Locate File"], [59, 3, 1, "coq:cmd.Locate-Library", "Locate Library"], [59, 3, 1, "coq:cmd.Locate-Ltac", "Locate Ltac"], [59, 3, 1, "coq:cmd.Locate-Ltac2", "Locate Ltac2"], [59, 3, 1, "coq:cmd.Locate-Module", "Locate Module"], [59, 3, 1, "coq:cmd.Locate-Term", "Locate Term"], [60, 6, 1, "coq:opt.Loose-Hint-Behavior", "Loose Hint Behavior"], [54, 3, 1, "coq:cmd.Ltac", "Ltac"], [54, 4, 1, "coq:flag.Ltac-Backtrace", "Ltac Backtrace"], [54, 4, 1, "coq:flag.Ltac-Batch-Debug", "Ltac Batch Debug"], [54, 4, 1, "coq:flag.Ltac-Debug", "Ltac Debug"], [54, 4, 1, "coq:flag.Ltac-Profiling", "Ltac Profiling"], [55, 3, 1, "coq:cmd.Ltac2", "Ltac2"], [55, 4, 1, "coq:flag.Ltac2-Backtrace", "Ltac2 Backtrace"], [55, 3, 1, "coq:cmd.Ltac2-Check", "Ltac2 Check"], [55, 3, 1, "coq:cmd.Ltac2-Eval", "Ltac2 Eval"], [55, 3, 1, "coq:cmd.Ltac2-Globalize", "Ltac2 Globalize"], [55, 4, 1, "coq:flag.Ltac2-In-Ltac1-Profiling", "Ltac2 In Ltac1 Profiling"], [55, 3, 1, "coq:cmd.Ltac2-Notation", "Ltac2 Notation"], [55, 3, 1, "coq:cmd.Ltac2-Notation-(abbreviation)", "Ltac2 Notation (abbreviation)"], [55, 3, 1, "coq:cmd.Ltac2-Set", "Ltac2 Set"], [55, 3, 1, "coq:cmd.Ltac2-Type", "Ltac2 Type"], [55, 4, 1, "coq:flag.Ltac2-Typed-Notations", "Ltac2 Typed Notations"], [55, 3, 1, "coq:cmd.Ltac2-external", "Ltac2 external"], [44, 2, 1, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position", "Making shadowed name of implicit argument accessible by position"], [66, 4, 1, "coq:flag.Mangle-Names", "Mangle Names"], [66, 4, 1, "coq:flag.Mangle-Names-Light", "Mangle Names Light"], [66, 6, 1, "coq:opt.Mangle-Names-Prefix", "Mangle Names Prefix"], [44, 4, 1, "coq:flag.Maximal-Implicit-Insertion", "Maximal Implicit Insertion"], [71, 0, 1, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019", "Missing mapping for constructor \u2018qualid\u2019"], [35, 3, 1, "coq:cmd.Module", "Module"], [35, 3, 1, "coq:cmd.Module-Type", "Module Type"], [59, 0, 1, "coq:exn.Module/section-\u2018qualid\u2019-not-found", "Module/section \u2018qualid\u2019 not found"], [14, 7, 1, "coq:attr.Monomorphic", "Monomorphic"], [71, 0, 1, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier", "More than one interpretation bound to this notation, confirm with the &quot;all&quot; modifier"], [71, 0, 1, "coq:exn.Multiple-'via'-options", "Multiple &#x27;via&#x27; options"], [71, 0, 1, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options", "Multiple &#x27;warning after&#x27; or &#x27;abstract after&#x27; options"], [64, 6, 1, "coq:opt.NativeCompute-Profile-Filename", "NativeCompute Profile Filename"], [64, 4, 1, "coq:flag.NativeCompute-Profiling", "NativeCompute Profiling"], [64, 4, 1, "coq:flag.NativeCompute-Timing", "NativeCompute Timing"], [66, 4, 1, "coq:flag.Nested-Proofs-Allowed", "Nested Proofs Allowed"], [66, 2, 1, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one", "New Collection definition of \u2018ident\u2019 shadows the previous one"], [9, 3, 1, "coq:cmd.Next-Obligation", "Next Obligation"], [5, 4, 1, "coq:flag.Nia-Cache", "Nia Cache"], [54, 0, 1, "coq:exn.No-applicable-tactic", "No applicable tactic"], [72, 0, 1, "coq:exn.No-argument-name-\u2018ident\u2019", "No argument name \u2018ident\u2019"], [54, 0, 1, "coq:exn.No-evars", "No evars"], [35, 0, 1, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019", "No field named \u2018ident\u2019 in \u2018qualid\u2019"], [66, 0, 1, "coq:exn.No-focused-proof", "No focused proof"], [66, 0, 1, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)", "No focused proof (No proof-editing in progress)"], [66, 0, 1, "coq:exn.No-focused-proof-to-restart", "No focused proof to restart"], [64, 0, 1, "coq:exn.No-head-constant-to-reduce", "No head constant to reduce"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match", "No matching clauses for match"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match-goal", "No matching clauses for match goal"], [71, 0, 1, "coq:exn.No-notation-provided", "No notation provided"], [67, 0, 1, "coq:exn.No-primitive-equality-found", "No primitive equality found"], [58, 0, 1, "coq:exn.No-product-even-after-head-reduction", "No product even after head-reduction"], [3, 0, 1, "coq:exn.No-progress-made", "No progress made"], [58, 0, 1, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction", "No quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction"], [58, 0, 1, "coq:exn.No-such-assumption", "No such assumption"], [58, 0, 1, "coq:exn.No-such-binder", "No such binder"], [58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)", "No such bound variable \u2018ident\u2019 (no bound variables at all in the expression)"], [66, 0, 1, "coq:exn.No-such-goal", "No such goal"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018ident\u2019)", "No such goal (\u2018ident\u2019)"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018natural\u2019)", "No such goal (\u2018natural\u2019)"], [58, 0, 1, "coq:exn.No-such-hypothesis:-\u2018ident\u2019", "No such hypothesis: \u2018ident\u2019"], [58, 0, 1, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction", "No \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction"], [46, 0, 1, "coq:exn.Non-exhaustive-pattern-matching", "Non exhaustive pattern matching"], [9, 0, 1, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition", "Non extensible universe declaration not supported with monomorphic Program Definition"], [34, 0, 1, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019", "Non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019"], [14, 7, 1, "coq:attr.NonCumulative", "NonCumulative"], [67, 4, 1, "coq:flag.Nonrecursive-Elimination-Schemes", "Nonrecursive Elimination Schemes"], [54, 0, 1, "coq:exn.Not-a-context-variable", "Not a context variable"], [67, 0, 1, "coq:exn.Not-a-discriminable-equality", "Not a discriminable equality"], [67, 0, 1, "coq:exn.Not-a-negated-primitive-equality", "Not a negated primitive equality"], [11, 0, 1, "coq:exn.Not-a-valid-ring-equation", "Not a valid ring equation"], [54, 0, 1, "coq:exn.Not-a-variable-or-hypothesis", "Not a variable or hypothesis"], [54, 0, 1, "coq:exn.Not-an-evar", "Not an evar"], [58, 0, 1, "coq:exn.Not-an-exact-proof", "Not an exact proof"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-1-constructor", "Not an inductive goal with 1 constructor"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-2-constructors", "Not an inductive goal with 2 constructors"], [67, 0, 1, "coq:exn.Not-an-inductive-product", "Not an inductive product"], [64, 0, 1, "coq:exn.Not-convertible", "Not convertible"], [67, 0, 1, "coq:exn.Not-enough-constructors", "Not enough constructors"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018ident\u2019"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018natural\u2019"], [54, 0, 1, "coq:exn.Not-equal", "Not equal"], [54, 0, 1, "coq:exn.Not-equal-(due-to-universes)", "Not equal (due to universes)"], [54, 0, 1, "coq:exn.Not-ground", "Not ground"], [72, 0, 1, "coq:exn.Not-the-right-number-of-induction-arguments", "Not the right number of induction arguments"], [58, 0, 1, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)", "Not the right number of missing arguments (expected \u2018natural\u2019)"], [71, 3, 1, "coq:cmd.Notation", "Notation"], [71, 3, 1, "coq:cmd.Notation-(abbreviation)", "Notation (abbreviation)"], [55, 0, 1, "coq:exn.Notation-levels-must-range-between-0-and-6", "Notation levels must range between 0 and 6"], [67, 0, 1, "coq:exn.Nothing-to-inject", "Nothing to inject"], [3, 0, 1, "coq:exn.Nothing-to-rewrite", "Nothing to rewrite"], [5, 4, 1, "coq:flag.Nra-Cache", "Nra Cache"], [71, 3, 1, "coq:cmd.Number-Notation", "Number Notation"], [9, 3, 1, "coq:cmd.Obligation", "Obligation"], [9, 3, 1, "coq:cmd.Obligation-Tactic", "Obligation Tactic"], [9, 3, 1, "coq:cmd.Obligations", "Obligations"], [64, 3, 1, "coq:cmd.Opaque", "Opaque"], [71, 3, 1, "coq:cmd.Open-Scope", "Open Scope"], [66, 3, 1, "coq:cmd.Optimize-Heap", "Optimize Heap"], [66, 3, 1, "coq:cmd.Optimize-Proof", "Optimize Proof"], [28, 3, 1, "coq:cmd.Parameter", "Parameter"], [28, 3, 1, "coq:cmd.Parameters", "Parameters"], [44, 4, 1, "coq:flag.Parsing-Explicit", "Parsing Explicit"], [14, 7, 1, "coq:attr.Polymorphic", "Polymorphic"], [14, 4, 1, "coq:flag.Polymorphic-Inductive-Cumulativity", "Polymorphic Inductive Cumulativity"], [14, 0, 1, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead", "Polymorphic universe constraints can only be declared inside sections, use Monomorphic Constraint instead"], [14, 0, 1, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead", "Polymorphic universes can only be declared inside sections, use Monomorphic Universe instead"], [59, 4, 1, "coq:flag.Positivity-Checking", "Positivity Checking"], [57, 3, 1, "coq:cmd.Prenex-Implicits", "Prenex Implicits"], [9, 3, 1, "coq:cmd.Preterm", "Preterm"], [59, 3, 1, "coq:cmd.Primitive", "Primitive"], [37, 4, 1, "coq:flag.Primitive-Projections", "Primitive Projections"], [59, 3, 1, "coq:cmd.Print", "Print"], [59, 3, 1, "coq:cmd.Print-All", "Print All"], [59, 3, 1, "coq:cmd.Print-All-Dependencies", "Print All Dependencies"], [59, 3, 1, "coq:cmd.Print-Assumptions", "Print Assumptions"], [42, 3, 1, "coq:cmd.Print-Canonical-Projections", "Print Canonical Projections"], [4, 3, 1, "coq:cmd.Print-Classes", "Print Classes"], [4, 3, 1, "coq:cmd.Print-Coercion-Paths", "Print Coercion Paths"], [4, 3, 1, "coq:cmd.Print-Coercions", "Print Coercions"], [71, 3, 1, "coq:cmd.Print-Custom-Grammar", "Print Custom Grammar"], [66, 3, 1, "coq:cmd.Print-Debug-GC", "Print Debug GC"], [64, 3, 1, "coq:cmd.Print-Equivalent-Keys", "Print Equivalent Keys"], [2, 3, 1, "coq:cmd.Print-Extraction-Blacklist", "Print Extraction Blacklist"], [2, 3, 1, "coq:cmd.Print-Extraction-Callback", "Print Extraction Callback"], [2, 3, 1, "coq:cmd.Print-Extraction-Foreign", "Print Extraction Foreign"], [2, 3, 1, "coq:cmd.Print-Extraction-Inline", "Print Extraction Inline"], [11, 3, 1, "coq:cmd.Print-Fields", "Print Fields"], [62, 3, 1, "coq:cmd.Print-Firstorder-Solver", "Print Firstorder Solver"], [71, 3, 1, "coq:cmd.Print-Grammar", "Print Grammar"], [4, 3, 1, "coq:cmd.Print-Graph", "Print Graph"], [60, 3, 1, "coq:cmd.Print-Hint", "Print Hint"], [60, 3, 1, "coq:cmd.Print-HintDb", "Print HintDb"], [44, 3, 1, "coq:cmd.Print-Implicit", "Print Implicit"], [13, 3, 1, "coq:cmd.Print-Instances", "Print Instances"], [71, 3, 1, "coq:cmd.Print-Keywords", "Print Keywords"], [59, 3, 1, "coq:cmd.Print-Libraries", "Print Libraries"], [59, 3, 1, "coq:cmd.Print-LoadPath", "Print LoadPath"], [54, 3, 1, "coq:cmd.Print-Ltac", "Print Ltac"], [54, 3, 1, "coq:cmd.Print-Ltac-Signatures", "Print Ltac Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2", "Print Ltac2"], [55, 3, 1, "coq:cmd.Print-Ltac2-Signatures", "Print Ltac2 Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2-Type", "Print Ltac2 Type"], [59, 3, 1, "coq:cmd.Print-ML-Modules", "Print ML Modules"], [59, 3, 1, "coq:cmd.Print-ML-Path", "Print ML Path"], [35, 3, 1, "coq:cmd.Print-Module", "Print Module"], [35, 3, 1, "coq:cmd.Print-Module-Type", "Print Module Type"], [35, 3, 1, "coq:cmd.Print-Namespace", "Print Namespace"], [71, 3, 1, "coq:cmd.Print-Notation", "Print Notation"], [59, 3, 1, "coq:cmd.Print-Opaque-Dependencies", "Print Opaque Dependencies"], [29, 3, 1, "coq:cmd.Print-Options", "Print Options"], [59, 3, 1, "coq:cmd.Print-Registered", "Print Registered"], [59, 3, 1, "coq:cmd.Print-Registered-Schemes", "Print Registered Schemes"], [60, 3, 1, "coq:cmd.Print-Rewrite-HintDb", "Print Rewrite HintDb"], [11, 3, 1, "coq:cmd.Print-Rings", "Print Rings"], [71, 3, 1, "coq:cmd.Print-Scope", "Print Scope"], [71, 3, 1, "coq:cmd.Print-Scopes", "Print Scopes"], [59, 3, 1, "coq:cmd.Print-Section", "Print Section"], [64, 3, 1, "coq:cmd.Print-Strategies", "Print Strategies"], [64, 3, 1, "coq:cmd.Print-Strategy", "Print Strategy"], [29, 3, 1, "coq:cmd.Print-Table", "Print Table"], [29, 3, 1, "coq:cmd.Print-Tables", "Print Tables"], [59, 3, 1, "coq:cmd.Print-Transparent-Dependencies", "Print Transparent Dependencies"], [13, 3, 1, "coq:cmd.Print-Typeclasses", "Print Typeclasses"], [59, 3, 1, "coq:cmd.Print-Typing-Flags", "Print Typing Flags"], [14, 3, 1, "coq:cmd.Print-Universes", "Print Universes"], [71, 3, 1, "coq:cmd.Print-Visibility", "Print Visibility"], [59, 4, 1, "coq:flag.Printing-All", "Printing All"], [46, 4, 1, "coq:flag.Printing-Allow-Match-Default-Clause", "Printing Allow Match Default Clause"], [4, 8, 1, "coq:table.Printing-Coercion", "Printing Coercion"], [4, 4, 1, "coq:flag.Printing-Coercions", "Printing Coercions"], [59, 4, 1, "coq:flag.Printing-Compact-Contexts", "Printing Compact Contexts"], [37, 8, 1, "coq:table.Printing-Constructor", "Printing Constructor"], [59, 4, 1, "coq:flag.Printing-Dependent-Evars-Line", "Printing Dependent Evars Line"], [59, 6, 1, "coq:opt.Printing-Depth", "Printing Depth"], [43, 4, 1, "coq:flag.Printing-Existential-Instances", "Printing Existential Instances"], [46, 4, 1, "coq:flag.Printing-Factorizable-Match-Patterns", "Printing Factorizable Match Patterns"], [66, 4, 1, "coq:flag.Printing-Goal-Names", "Printing Goal Names"], [66, 4, 1, "coq:flag.Printing-Goal-Tags", "Printing Goal Tags"], [46, 8, 1, "coq:table.Printing-If", "Printing If"], [44, 4, 1, "coq:flag.Printing-Implicit", "Printing Implicit"], [44, 4, 1, "coq:flag.Printing-Implicit-Defensive", "Printing Implicit Defensive"], [46, 8, 1, "coq:table.Printing-Let", "Printing Let"], [46, 4, 1, "coq:flag.Printing-Match-All-Subterms", "Printing Match All Subterms"], [46, 4, 1, "coq:flag.Printing-Matching", "Printing Matching"], [71, 4, 1, "coq:flag.Printing-Notations", "Printing Notations"], [71, 4, 1, "coq:flag.Printing-Parentheses", "Printing Parentheses"], [37, 4, 1, "coq:flag.Printing-Primitive-Projection-Parameters", "Printing Primitive Projection Parameters"], [37, 4, 1, "coq:flag.Printing-Projections", "Printing Projections"], [71, 4, 1, "coq:flag.Printing-Raw-Literals", "Printing Raw Literals"], [37, 8, 1, "coq:table.Printing-Record", "Printing Record"], [37, 4, 1, "coq:flag.Printing-Records", "Printing Records"], [12, 4, 1, "coq:flag.Printing-Relevance-Marks", "Printing Relevance Marks"], [46, 4, 1, "coq:flag.Printing-Synth", "Printing Synth"], [59, 4, 1, "coq:flag.Printing-Unfocused", "Printing Unfocused"], [37, 4, 1, "coq:flag.Printing-Unfolded-Projection-As-Match", "Printing Unfolded Projection As Match"], [14, 4, 1, "coq:flag.Printing-Universes", "Printing Universes"], [44, 4, 1, "coq:flag.Printing-Use-Implicit-Types", "Printing Use Implicit Types"], [59, 6, 1, "coq:opt.Printing-Width", "Printing Width"], [46, 4, 1, "coq:flag.Printing-Wildcard", "Printing Wildcard"], [40, 7, 1, "coq:attr.Private", "Private"], [14, 4, 1, "coq:flag.Private-Polymorphic-Universes", "Private Polymorphic Universes"], [59, 3, 1, "coq:cmd.Profile", "Profile"], [9, 7, 1, "coq:attr.Program", "Program"], [9, 4, 1, "coq:flag.Program-Cases", "Program Cases"], [9, 4, 1, "coq:flag.Program-Generalized-Coercion", "Program Generalized Coercion"], [9, 4, 1, "coq:flag.Program-Mode", "Program Mode"], [66, 3, 1, "coq:cmd.Proof", "Proof"], [66, 3, 1, "coq:cmd.Proof-Mode", "Proof Mode"], [66, 3, 1, "coq:cmd.Proof-`term`", "Proof `term`"], [66, 3, 1, "coq:cmd.Proof-using", "Proof using"], [60, 3, 1, "coq:cmd.Proof-with", "Proof with"], [32, 3, 1, "coq:cmd.Property", "Property"], [32, 3, 1, "coq:cmd.Proposition", "Proposition"], [5, 5, 1, "coq:thm.Psatz", "Psatz"], [2, 3, 1, "coq:cmd.Pwd", "Pwd"], [66, 3, 1, "coq:cmd.Qed", "Qed"], [59, 3, 1, "coq:cmd.Quit", "Quit"], [37, 3, 1, "coq:cmd.Record", "Record"], [37, 0, 1, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive", "Records declared with the keyword Record or Structure cannot be recursive"], [2, 3, 1, "coq:cmd.Recursive-Extraction", "Recursive Extraction"], [2, 3, 1, "coq:cmd.Recursive-Extraction-Library", "Recursive Extraction Library"], [59, 3, 1, "coq:cmd.Redirect", "Redirect"], [59, 3, 1, "coq:cmd.Register", "Register"], [59, 3, 1, "coq:cmd.Register-Inline", "Register Inline"], [59, 3, 1, "coq:cmd.Register-Scheme", "Register Scheme"], [64, 4, 1, "coq:flag.Regular-Subst-Tactic", "Regular Subst Tactic"], [32, 3, 1, "coq:cmd.Remark", "Remark"], [29, 3, 1, "coq:cmd.Remove", "Remove"], [60, 3, 1, "coq:cmd.Remove-Hints", "Remove Hints"], [59, 3, 1, "coq:cmd.Require", "Require"], [59, 3, 1, "coq:cmd.Require-Export", "Require Export"], [59, 3, 1, "coq:cmd.Require-Import", "Require Import"], [71, 3, 1, "coq:cmd.Reserved-Infix", "Reserved Infix"], [71, 3, 1, "coq:cmd.Reserved-Notation", "Reserved Notation"], [59, 3, 1, "coq:cmd.Reset", "Reset"], [2, 3, 1, "coq:cmd.Reset-Extraction-Blacklist", "Reset Extraction Blacklist"], [2, 3, 1, "coq:cmd.Reset-Extraction-Callback", "Reset Extraction Callback"], [2, 3, 1, "coq:cmd.Reset-Extraction-Inline", "Reset Extraction Inline"], [59, 3, 1, "coq:cmd.Reset-Initial", "Reset Initial"], [54, 3, 1, "coq:cmd.Reset-Ltac-Profile", "Reset Ltac Profile"], [66, 3, 1, "coq:cmd.Restart", "Restart"], [44, 4, 1, "coq:flag.Reversible-Pattern-Implicit", "Reversible Pattern Implicit"], [10, 3, 1, "coq:cmd.Rewrite-Rule", "Rewrite Rule"], [10, 3, 1, "coq:cmd.Rewrite-Rules", "Rewrite Rules"], [10, 0, 1, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\"", "Rewrite rule declaration requires passing the flag &quot;-allow-rewrite-rules&quot;"], [67, 4, 1, "coq:flag.Rewriting-Schemes", "Rewriting Schemes"], [11, 0, 1, "coq:exn.Ring-operation-should-be-declared-as-a-morphism", "Ring operation should be declared as a morphism"], [12, 0, 1, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off", "SProp is disallowed because the &quot;Allow StrictProp&quot; flag is off"], [66, 3, 1, "coq:cmd.Save", "Save"], [67, 3, 1, "coq:cmd.Scheme", "Scheme"], [67, 3, 1, "coq:cmd.Scheme-Boolean-Equality", "Scheme Boolean Equality"], [67, 3, 1, "coq:cmd.Scheme-Equality", "Scheme Equality"], [71, 0, 1, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore", "Scope delimiters should not start with an underscore"], [71, 0, 1, "coq:exn.Scope-names-should-not-start-with-an-underscore", "Scope names should not start with an underscore"], [59, 3, 1, "coq:cmd.Search", "Search"], [59, 8, 1, "coq:table.Search-Blacklist", "Search Blacklist"], [59, 4, 1, "coq:flag.Search-Output-Name-Only", "Search Output Name Only"], [59, 3, 1, "coq:cmd.SearchPattern", "SearchPattern"], [59, 3, 1, "coq:cmd.SearchRewrite", "SearchRewrite"], [38, 3, 1, "coq:cmd.Section", "Section"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion"], [2, 3, 1, "coq:cmd.Separate-Extraction", "Separate Extraction"], [29, 3, 1, "coq:cmd.Set", "Set"], [35, 4, 1, "coq:flag.Short-Module-Printing", "Short Module Printing"], [66, 3, 1, "coq:cmd.Show", "Show"], [66, 3, 1, "coq:cmd.Show-Conjectures", "Show Conjectures"], [66, 3, 1, "coq:cmd.Show-Existentials", "Show Existentials"], [2, 3, 1, "coq:cmd.Show-Extraction", "Show Extraction"], [66, 3, 1, "coq:cmd.Show-Goal", "Show Goal"], [66, 3, 1, "coq:cmd.Show-Intro", "Show Intro"], [66, 3, 1, "coq:cmd.Show-Intros", "Show Intros"], [5, 3, 1, "coq:cmd.Show-Lia-Profile", "Show Lia Profile"], [54, 3, 1, "coq:cmd.Show-Ltac-Profile", "Show Ltac Profile"], [66, 3, 1, "coq:cmd.Show-Match", "Show Match"], [9, 3, 1, "coq:cmd.Show-Obligation-Tactic", "Show Obligation Tactic"], [66, 3, 1, "coq:cmd.Show-Proof", "Show Proof"], [66, 3, 1, "coq:cmd.Show-Universes", "Show Universes"], [5, 3, 1, "coq:cmd.Show-Zify", "Show Zify"], [35, 0, 1, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match", "Signature components for field \u2018ident\u2019 do not match"], [59, 4, 1, "coq:flag.Silent", "Silent"], [9, 3, 1, "coq:cmd.Solve-All-Obligations", "Solve All Obligations"], [9, 3, 1, "coq:cmd.Solve-Obligations", "Solve Obligations"], [66, 4, 1, "coq:flag.Solve-Unification-Constraints", "Solve Unification Constraints"], [57, 4, 1, "coq:flag.SsrHave-NoTCResolution", "SsrHave NoTCResolution"], [57, 4, 1, "coq:flag.SsrIdents", "SsrIdents"], [57, 4, 1, "coq:flag.SsrOldRewriteGoalsOrder", "SsrOldRewriteGoalsOrder"], [57, 4, 1, "coq:flag.SsrRewrite", "SsrRewrite"], [71, 2, 1, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)", "Stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed)"], [64, 3, 1, "coq:cmd.Strategy", "Strategy"], [44, 4, 1, "coq:flag.Strict-Implicit", "Strict Implicit"], [14, 4, 1, "coq:flag.Strict-Universe-Declaration", "Strict Universe Declaration"], [71, 3, 1, "coq:cmd.String-Notation", "String Notation"], [44, 4, 1, "coq:flag.Strongly-Strict-Implicit", "Strongly Strict Implicit"], [67, 4, 1, "coq:flag.Structural-Injection", "Structural Injection"], [37, 3, 1, "coq:cmd.Structure", "Structure"], [4, 3, 1, "coq:cmd.SubClass", "SubClass"], [59, 3, 1, "coq:cmd.Succeed", "Succeed"], [66, 4, 1, "coq:flag.Suggest-Proof-Using", "Suggest Proof Using"], [10, 3, 1, "coq:cmd.Symbol", "Symbol"], [10, 3, 1, "coq:cmd.Symbols", "Symbols"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])", "Syntax error: [prim:reference] expected after &#x27;Notation&#x27; (in [vernac:command])"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])", "Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command])"], [71, 3, 1, "coq:cmd.Tactic-Notation", "Tactic Notation"], [54, 0, 1, "coq:exn.Tactic-failure", "Tactic failure"], [54, 0, 1, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)", "Tactic failure (level \u2018natural\u2019)"], [54, 0, 1, "coq:exn.Tactic-failure:-<tactic-closure>-succeeds", "Tactic failure: &lt;tactic closure&gt; succeeds"], [64, 0, 1, "coq:exn.Tactic-failure:-Setoid-library-not-loaded", "Tactic failure: Setoid library not loaded"], [64, 0, 1, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal", "Tactic generated a subgoal identical to the original goal"], [64, 0, 1, "coq:exn.Terms-do-not-have-convertible-types", "Terms do not have convertible types"], [29, 3, 1, "coq:cmd.Test", "Test"], [60, 0, 1, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic", "The &quot;at&quot; syntax isn&#x27;t available yet for the autorewrite tactic"], [41, 0, 1, "coq:exn.The-&-modifier-may-only-occur-once", "The &amp; modifier may only occur once"], [71, 2, 1, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type", "The &#x27;abstract after&#x27; directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type"], [41, 0, 1, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given", "The &#x27;clear implicits&#x27; flag must be omitted if implicit annotations are given"], [41, 0, 1, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations", "The &#x27;default implicits&#x27; flag is incompatible with implicit annotations"], [41, 0, 1, "coq:exn.The-/-modifier-may-only-occur-once", "The / modifier may only occur once"], [59, 0, 1, "coq:exn.The-command-has-not-failed!", "The command has not failed!"], [34, 0, 1, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019", "The conclusion of \u2018type\u2019 is not valid; it must be built from \u2018ident\u2019"], [46, 0, 1, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments", "The constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments"], [14, 0, 1, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context", "The cumulative attribute can only be used in a polymorphic context"], [46, 0, 1, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)", "The elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case)"], [35, 0, 1, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019", "The field \u2018ident\u2019 is missing in \u2018qualid\u2019"], [72, 0, 1, "coq:exn.The-recursive-argument-must-be-specified", "The recursive argument must be specified"], [55, 0, 1, "coq:exn.The-reference-X-was-not-found-in-the-current-environment", "The reference X was not found in the current environment"], [64, 0, 1, "coq:exn.The-reference-is-not-unfoldable", "The reference is not unfoldable"], [64, 0, 1, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment", "The reference \u2018qualid\u2019 was not found in the current environment"], [58, 0, 1, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type", "The term &quot;\u2018type\u2019&quot; has type &quot;\u2018type\u2019&quot; which should be Set, Prop or Type"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant", "The term \u2018qualid\u2019 is already defined as foreign custom constant"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant", "The term \u2018qualid\u2019 is already defined as inline custom constant"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type", "The term \u2018term\u2019 has type \u2018type\u2019 which should be Set, Prop or Type"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'", "The term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019&#x27;"], [67, 0, 1, "coq:exn.The-type-has-no-constructors", "The type has no constructors"], [59, 0, 1, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked", "The type \u2018ident\u2019 must be registered before this construction can be typechecked"], [46, 0, 1, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term", "The variable ident is bound several times in pattern term"], [58, 0, 1, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared", "The variable \u2018ident\u2019 is already declared"], [40, 0, 1, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019", "The \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019"], [32, 3, 1, "coq:cmd.Theorem", "Theorem"], [54, 0, 1, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019", "There is already an Ltac named \u2018qualid\u2019"], [54, 0, 1, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019", "There is no Ltac named \u2018qualid\u2019"], [29, 2, 1, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag or option with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag, option or table with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no qualid-valued table with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no string-valued table with this name: &quot;\u2018setting_name\u2019&quot;"], [38, 0, 1, "coq:exn.There-is-nothing-to-end", "There is nothing to end"], [29, 2, 1, "coq:warn.This-command-does-not-support-this-attribute", "This command does not support this attribute"], [59, 0, 1, "coq:exn.This-object-does-not-support-universe-names", "This object does not support universe names"], [66, 0, 1, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way", "This proof is focused, but cannot be unfocused this way"], [54, 0, 1, "coq:exn.This-tactic-has-more-than-one-success", "This tactic has more than one success"], [59, 3, 1, "coq:cmd.Time", "Time"], [59, 3, 1, "coq:cmd.Timeout", "Timeout"], [71, 2, 1, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019", "To avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019"], [41, 0, 1, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified", "To rename arguments the &#x27;rename&#x27; flag must be specified"], [64, 3, 1, "coq:cmd.Transparent", "Transparent"], [9, 4, 1, "coq:flag.Transparent-Obligations", "Transparent Obligations"], [35, 2, 1, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!", "Trying to mask the absolute name \u2018qualid\u2019!"], [59, 3, 1, "coq:cmd.Type", "Type"], [67, 0, 1, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019", "Type of \u2018ident\u2019 is not an equality of recognized \u03a3 types: expected one of sig sig2 sigT sigT2 sigT2 ex or ex2 but got \u2018term\u2019"], [13, 4, 1, "coq:flag.Typeclass-Resolution-For-Conversion", "Typeclass Resolution For Conversion"], [13, 4, 1, "coq:flag.Typeclasses-Debug", "Typeclasses Debug"], [13, 6, 1, "coq:opt.Typeclasses-Debug-Verbosity", "Typeclasses Debug Verbosity"], [13, 6, 1, "coq:opt.Typeclasses-Default-Mode", "Typeclasses Default Mode"], [13, 4, 1, "coq:flag.Typeclasses-Dependency-Order", "Typeclasses Dependency Order"], [13, 6, 1, "coq:opt.Typeclasses-Depth", "Typeclasses Depth"], [13, 4, 1, "coq:flag.Typeclasses-Iterative-Deepening", "Typeclasses Iterative Deepening"], [13, 4, 1, "coq:flag.Typeclasses-Limit-Intros", "Typeclasses Limit Intros"], [13, 3, 1, "coq:cmd.Typeclasses-Opaque", "Typeclasses Opaque"], [13, 4, 1, "coq:flag.Typeclasses-Strict-Resolution", "Typeclasses Strict Resolution"], [13, 3, 1, "coq:cmd.Typeclasses-Transparent", "Typeclasses Transparent"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Instances", "Typeclasses Unique Instances"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Solutions", "Typeclasses Unique Solutions"], [13, 3, 1, "coq:cmd.Typeclasses-eauto", "Typeclasses eauto"], [67, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019"], [58, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019"], [46, 0, 1, "coq:exn.Unable-to-infer-a-match-predicate", "Unable to infer a match predicate"], [3, 0, 1, "coq:exn.Unable-to-satisfy-the-rewriting-constraints", "Unable to satisfy the rewriting constraints"], [58, 0, 1, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019", "Unable to unify \u2018one_term\u2019 with \u2018one_term\u2019"], [55, 0, 1, "coq:exn.Unbound-[value|constructor]-X", "Unbound [value|constructor] X"], [54, 0, 1, "coq:exn.Unbound-context-identifier-\u2018ident\u2019", "Unbound context identifier \u2018ident\u2019"], [14, 0, 1, "coq:exn.Undeclared-universe-\u2018ident\u2019", "Undeclared universe \u2018ident\u2019"], [71, 3, 1, "coq:cmd.Undelimit-Scope", "Undelimit Scope"], [66, 3, 1, "coq:cmd.Undo", "Undo"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected non-option term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected non-option term \u2018term\u2019 while parsing a string notation"], [71, 0, 1, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation", "Unexpected only parsing for an only printing notation"], [71, 0, 1, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation", "Unexpected only printing for an only parsing notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected term \u2018term\u2019 while parsing a string notation"], [66, 3, 1, "coq:cmd.Unfocus", "Unfocus"], [66, 3, 1, "coq:cmd.Unfocused", "Unfocused"], [34, 4, 1, "coq:flag.Uniform-Inductive-Parameters", "Uniform Inductive Parameters"], [14, 3, 1, "coq:cmd.Universe", "Universe"], [59, 4, 1, "coq:flag.Universe-Checking", "Universe Checking"], [14, 4, 1, "coq:flag.Universe-Minimization-ToSet", "Universe Minimization ToSet"], [14, 4, 1, "coq:flag.Universe-Polymorphism", "Universe Polymorphism"], [14, 0, 1, "coq:exn.Universe-inconsistency", "Universe inconsistency"], [59, 0, 1, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019", "Universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019"], [14, 3, 1, "coq:cmd.Universes", "Universes"], [71, 0, 1, "coq:exn.Unknown-custom-entry", "Unknown custom entry"], [71, 0, 1, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019", "Unknown custom entry: \u2018ident\u2019"], [66, 0, 1, "coq:exn.Unknown-inductive-type", "Unknown inductive type"], [29, 3, 1, "coq:cmd.Unset", "Unset"], [66, 3, 1, "coq:cmd.Unshelve", "Unshelve"], [71, 0, 1, "coq:exn.Unterminated-string-in-notation", "Unterminated string in notation"], [28, 2, 1, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\"", "Use of &quot;Variable&quot; or &quot;Hypothesis&quot; outside sections behaves as &quot;#[local] Parameter&quot; or &quot;#[local] Axiom&quot;"], [71, 2, 1, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax", "Use of \u2018string\u2019 Notation is deprecated as it is inconsistent with pattern syntax"], [13, 2, 1, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d", "Using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d"], [66, 3, 1, "coq:cmd.Validate-Proof", "Validate Proof"], [28, 3, 1, "coq:cmd.Variable", "Variable"], [66, 2, 1, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables", "Variable All is shadowed by Collection named All containing all variables"], [28, 3, 1, "coq:cmd.Variables", "Variables"], [40, 3, 1, "coq:cmd.Variant", "Variant"], [59, 6, 1, "coq:opt.Warnings", "Warnings"], [44, 0, 1, "coq:exn.Wrong-argument-name", "Wrong argument name"], [44, 0, 1, "coq:exn.Wrong-argument-position", "Wrong argument position"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here", "Wrong bullet \u2018bullet\u2019: Bullet \u2018bullet\u2019 is mandatory here"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished", "Wrong bullet \u2018bullet\u2019: Current bullet \u2018bullet\u2019 is not finished"], [54, 1, 1, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[ \u2026 | \u2026 | \u2026 ] (dispatch)"], [54, 1, 1, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[&gt; \u2026 | \u2026 | \u2026 ] (dispatch)"], [55, 7, 1, "coq:attr.abstract", "abstract"], [66, 1, 1, "coq:tacn.abstract", "abstract"], [57, 1, 1, "coq:tacn.abstract-(ssreflect)", "abstract (ssreflect)"], [58, 1, 1, "coq:tacn.absurd", "absurd"], [71, 7, 1, "coq:attr.add_bottom", "add_bottom"], [71, 7, 1, "coq:attr.add_top", "add_top"], [66, 1, 1, "coq:tacn.admit", "admit"], [58, 1, 1, "coq:tacn.apply", "apply"], [57, 1, 1, "coq:tacn.apply-(ssreflect)", "apply (ssreflect)"], [58, 1, 1, "coq:tacn.assert", "assert"], [54, 1, 1, "coq:tacn.assert_fails", "assert_fails"], [54, 1, 1, "coq:tacn.assert_succeeds", "assert_succeeds"], [58, 1, 1, "coq:tacn.assumption", "assumption"], [60, 1, 1, "coq:tacn.auto", "auto"], [13, 1, 1, "coq:tacn.autoapply", "autoapply"], [60, 1, 1, "coq:tacn.autorewrite", "autorewrite"], [60, 1, 1, "coq:tacn.autounfold", "autounfold"], [60, 1, 1, "coq:tacn.autounfold_one", "autounfold_one"], [62, 1, 1, "coq:tacn.btauto", "btauto"], [66, 1, 1, "coq:tacn.bullet-(--+-*)", "bullet (- + *)"], [57, 1, 1, "coq:tacn.by", "by"], [59, 7, 1, "coq:attr.bypass_check(guard)", "bypass_check(guard)"], [59, 7, 1, "coq:attr.bypass_check(positivity)", "bypass_check(positivity)"], [59, 7, 1, "coq:attr.bypass_check(universes)", "bypass_check(universes)"], [42, 7, 1, "coq:attr.canonical", "canonical"], [67, 1, 1, "coq:tacn.case", "case"], [57, 1, 1, "coq:tacn.case-(ssreflect)", "case (ssreflect)"], [67, 1, 1, "coq:tacn.case_eq", "case_eq"], [64, 1, 1, "coq:tacn.cbn", "cbn"], [64, 1, 1, "coq:tacn.cbv", "cbv"], [64, 1, 1, "coq:tacn.change", "change"], [64, 1, 1, "coq:tacn.change_no_check", "change_no_check"], [58, 1, 1, "coq:tacn.classical_left", "classical_left"], [58, 1, 1, "coq:tacn.classical_right", "classical_right"], [58, 1, 1, "coq:tacn.clear", "clear"], [58, 1, 1, "coq:tacn.clear-dependent", "clear dependent"], [38, 7, 1, "coq:attr.clearbody", "clearbody"], [58, 1, 1, "coq:tacn.clearbody", "clearbody"], [71, 2, 1, "coq:warn.closed-notation-not-level-0", "closed-notation-not-level-0"], [67, 1, 1, "coq:tacn.cofix", "cofix"], [67, 1, 1, "coq:tacn.compare", "compare"], [64, 1, 1, "coq:tacn.compute", "compute"], [57, 1, 1, "coq:tacn.congr", "congr"], [62, 1, 1, "coq:tacn.congruence", "congruence"], [54, 1, 1, "coq:tacn.constr_eq", "constr_eq"], [54, 1, 1, "coq:tacn.constr_eq_nounivs", "constr_eq_nounivs"], [54, 1, 1, "coq:tacn.constr_eq_strict", "constr_eq_strict"], [67, 1, 1, "coq:tacn.constructor", "constructor"], [54, 1, 1, "coq:tacn.context", "context"], [58, 1, 1, "coq:tacn.contradict", "contradict"], [58, 1, 1, "coq:tacn.contradiction", "contradiction"], [54, 1, 1, "coq:tacn.convert", "convert"], [58, 1, 1, "coq:tacn.cut", "cut"], [66, 1, 1, "coq:tacn.cycle", "cycle"], [60, 1, 1, "coq:tacn.debug-auto", "debug auto"], [60, 1, 1, "coq:tacn.debug-eauto", "debug eauto"], [60, 1, 1, "coq:tacn.debug-trivial", "debug trivial"], [67, 1, 1, "coq:tacn.decide", "decide"], [67, 1, 1, "coq:tacn.decide-equality", "decide equality"], [67, 1, 1, "coq:tacn.decompose", "decompose"], [67, 1, 1, "coq:tacn.decompose-record", "decompose record"], [67, 1, 1, "coq:tacn.decompose-sum", "decompose sum"], [67, 1, 1, "coq:tacn.dependent-destruction", "dependent destruction"], [58, 1, 1, "coq:tacn.dependent-generalize_eqs", "dependent generalize_eqs"], [58, 1, 1, "coq:tacn.dependent-generalize_eqs_vars", "dependent generalize_eqs_vars"], [67, 1, 1, "coq:tacn.dependent-induction", "dependent induction"], [67, 1, 1, "coq:tacn.dependent-inversion", "dependent inversion"], [67, 1, 1, "coq:tacn.dependent-inversion_clear", "dependent inversion_clear"], [67, 1, 1, "coq:tacn.dependent-rewrite", "dependent rewrite"], [67, 1, 1, "coq:tacn.dependent-simple-inversion", "dependent simple inversion"], [74, 7, 1, "coq:attr.deprecated", "deprecated"], [67, 1, 1, "coq:tacn.destauto", "destauto"], [67, 1, 1, "coq:tacn.destruct", "destruct"], [62, 1, 1, "coq:tacn.dintuition", "dintuition"], [67, 1, 1, "coq:tacn.discriminate", "discriminate"], [54, 1, 1, "coq:tacn.do", "do"], [57, 1, 1, "coq:tacn.do-(ssreflect)", "do (ssreflect)"], [57, 1, 1, "coq:tacn.done", "done"], [62, 1, 1, "coq:tacn.dtauto", "dtauto"], [58, 1, 1, "coq:tacn.eapply", "eapply"], [58, 1, 1, "coq:tacn.eassert", "eassert"], [58, 1, 1, "coq:tacn.eassumption", "eassumption"], [60, 1, 1, "coq:tacn.easy", "easy"], [60, 1, 1, "coq:tacn.eauto", "eauto"], [67, 1, 1, "coq:tacn.ecase", "ecase"], [67, 1, 1, "coq:tacn.econstructor", "econstructor"], [67, 1, 1, "coq:tacn.edestruct", "edestruct"], [67, 1, 1, "coq:tacn.ediscriminate", "ediscriminate"], [67, 1, 1, "coq:tacn.eelim", "eelim"], [58, 1, 1, "coq:tacn.eenough", "eenough"], [58, 1, 1, "coq:tacn.eexact", "eexact"], [67, 1, 1, "coq:tacn.eexists", "eexists"], [67, 1, 1, "coq:tacn.einduction", "einduction"], [67, 1, 1, "coq:tacn.einjection", "einjection"], [58, 1, 1, "coq:tacn.eintros", "eintros"], [67, 1, 1, "coq:tacn.eleft", "eleft"], [67, 1, 1, "coq:tacn.elim", "elim"], [57, 1, 1, "coq:tacn.elim-(ssreflect)", "elim (ssreflect)"], [58, 1, 1, "coq:tacn.enough", "enough"], [58, 1, 1, "coq:tacn.epose", "epose"], [58, 1, 1, "coq:tacn.epose-proof", "epose proof"], [58, 1, 1, "coq:tacn.eremember", "eremember"], [64, 1, 1, "coq:tacn.erewrite", "erewrite"], [67, 1, 1, "coq:tacn.eright", "eright"], [58, 1, 1, "coq:tacn.eset", "eset"], [67, 1, 1, "coq:tacn.esimplify_eq", "esimplify_eq"], [67, 1, 1, "coq:tacn.esplit", "esplit"], [64, 1, 1, "coq:tacn.etransitivity", "etransitivity"], [64, 1, 1, "coq:tacn.eval", "eval"], [58, 1, 1, "coq:tacn.evar", "evar"], [58, 1, 1, "coq:tacn.exact", "exact"], [57, 1, 1, "coq:tacn.exact-(ssreflect)", "exact (ssreflect)"], [58, 1, 1, "coq:tacn.exact_no_check", "exact_no_check"], [54, 1, 1, "coq:tacn.exactly_once", "exactly_once"], [58, 1, 1, "coq:tacn.exfalso", "exfalso"], [67, 1, 1, "coq:tacn.exists", "exists"], [35, 7, 1, "coq:attr.export", "export"], [64, 1, 1, "coq:tacn.f_equal", "f_equal"], [54, 1, 1, "coq:tacn.fail", "fail"], [11, 1, 1, "coq:tacn.field", "field"], [11, 1, 1, "coq:tacn.field_lookup", "field_lookup"], [11, 1, 1, "coq:tacn.field_simplify", "field_simplify"], [11, 1, 1, "coq:tacn.field_simplify_eq", "field_simplify_eq"], [54, 1, 1, "coq:tacn.finish_timing", "finish_timing"], [54, 1, 1, "coq:tacn.first", "first"], [57, 1, 1, "coq:tacn.first-(ssreflect)", "first (ssreflect)"], [57, 9, 1, "coq:tacv.first-last", "first last"], [62, 1, 1, "coq:tacn.firstorder", "firstorder"], [67, 1, 1, "coq:tacn.fix", "fix"], [64, 1, 1, "coq:tacn.fold", "fold"], [54, 1, 1, "coq:tacn.fresh", "fresh"], [54, 1, 1, "coq:tacn.fun", "fun"], [72, 1, 1, "coq:tacn.functional-induction", "functional induction"], [72, 1, 1, "coq:tacn.functional-inversion", "functional inversion"], [58, 1, 1, "coq:tacn.generalize", "generalize"], [58, 1, 1, "coq:tacn.generalize-dependent", "generalize dependent"], [58, 1, 1, "coq:tacn.generalize_eqs", "generalize_eqs"], [58, 1, 1, "coq:tacn.generalize_eqs_vars", "generalize_eqs_vars"], [57, 1, 1, "coq:tacn.generally-have", "generally have"], [54, 1, 1, "coq:tacn.gfail", "gfail"], [66, 1, 1, "coq:tacn.give_up", "give_up"], [35, 7, 1, "coq:attr.global", "global"], [54, 1, 1, "coq:tacn.guard", "guard"], [54, 1, 1, "coq:tacn.has_evar", "has_evar"], [57, 1, 1, "coq:tacn.have", "have"], [3, 1, 1, "coq:tacn.head_of_constr", "head_of_constr"], [64, 1, 1, "coq:tacn.hnf", "hnf"], [54, 1, 1, "coq:tacn.idtac", "idtac"], [55, 1, 1, "coq:tacn.if-then-else-(Ltac2)", "if-then-else (Ltac2)"], [57, 1, 1, "coq:tacn.in", "in"], [67, 1, 1, "coq:tacn.induction", "induction"], [54, 3, 1, "coq:cmd.infoH", "infoH"], [60, 1, 1, "coq:tacn.info_auto", "info_auto"], [60, 1, 1, "coq:tacn.info_eauto", "info_eauto"], [60, 1, 1, "coq:tacn.info_trivial", "info_trivial"], [67, 1, 1, "coq:tacn.injection", "injection"], [58, 1, 1, "coq:tacn.instantiate", "instantiate"], [58, 1, 1, "coq:tacn.intro", "intro"], [58, 1, 1, "coq:tacn.intros", "intros"], [58, 1, 1, "coq:tacn.intros-until", "intros until"], [62, 1, 1, "coq:tacn.intuition", "intuition"], [67, 1, 1, "coq:tacn.inversion", "inversion"], [67, 1, 1, "coq:tacn.inversion_clear", "inversion_clear"], [67, 1, 1, "coq:tacn.inversion_sigma", "inversion_sigma"], [54, 1, 1, "coq:tacn.is_cofix", "is_cofix"], [54, 1, 1, "coq:tacn.is_const", "is_const"], [54, 1, 1, "coq:tacn.is_constructor", "is_constructor"], [54, 1, 1, "coq:tacn.is_evar", "is_evar"], [54, 1, 1, "coq:tacn.is_fix", "is_fix"], [54, 1, 1, "coq:tacn.is_ground", "is_ground"], [54, 1, 1, "coq:tacn.is_ind", "is_ind"], [54, 1, 1, "coq:tacn.is_proj", "is_proj"], [54, 1, 1, "coq:tacn.is_var", "is_var"], [58, 1, 1, "coq:tacn.lapply", "lapply"], [58, 0, 1, "coq:exn.lapply-needs-a-non-dependent-product", "lapply needs a non-dependent product"], [57, 1, 1, "coq:tacn.last", "last"], [57, 9, 1, "coq:tacv.last-first", "last first"], [64, 1, 1, "coq:tacn.lazy", "lazy"], [55, 1, 1, "coq:tacn.lazy_match!", "lazy_match!"], [55, 1, 1, "coq:tacn.lazy_match!-goal", "lazy_match! goal"], [54, 1, 1, "coq:tacn.lazymatch", "lazymatch"], [54, 1, 1, "coq:tacn.lazymatch-goal", "lazymatch goal"], [67, 1, 1, "coq:tacn.left", "left"], [54, 1, 1, "coq:tacn.let", "let"], [5, 1, 1, "coq:tacn.lia", "lia"], [35, 7, 1, "coq:attr.local", "local"], [5, 1, 1, "coq:tacn.lra", "lra"], [54, 1, 1, "coq:tacn.ltac-seq", "ltac-seq"], [54, 1, 1, "coq:tacn.match", "match"], [55, 1, 1, "coq:tacn.match-(Ltac2)", "match (Ltac2)"], [54, 1, 1, "coq:tacn.match-goal", "match goal"], [55, 1, 1, "coq:tacn.match!", "match!"], [55, 1, 1, "coq:tacn.match!-goal", "match! goal"], [13, 7, 1, "coq:attr.mode", "mode"], [58, 1, 1, "coq:tacn.move", "move"], [57, 1, 1, "coq:tacn.move-(ssreflect)", "move (ssreflect)"], [55, 1, 1, "coq:tacn.multi_match!", "multi_match!"], [55, 1, 1, "coq:tacn.multi_match!-goal", "multi_match! goal"], [54, 1, 1, "coq:tacn.multimatch", "multimatch"], [54, 1, 1, "coq:tacn.multimatch-goal", "multimatch goal"], [58, 1, 1, "coq:tacn.native_cast_no_check", "native_cast_no_check"], [64, 1, 1, "coq:tacn.native_compute", "native_compute"], [5, 1, 1, "coq:tacn.nia", "nia"], [4, 7, 1, "coq:attr.nonuniform", "nonuniform"], [54, 0, 1, "coq:exn.not-a-cofix-definition", "not a cofix definition"], [54, 0, 1, "coq:exn.not-a-constant", "not a constant"], [54, 0, 1, "coq:exn.not-a-constructor", "not a constructor"], [54, 0, 1, "coq:exn.not-a-fix-definition", "not a fix definition"], [54, 0, 1, "coq:exn.not-a-primitive-projection", "not a primitive projection"], [54, 0, 1, "coq:exn.not-an-(co)inductive-datatype", "not an (co)inductive datatype"], [54, 1, 1, "coq:tacn.not_evar", "not_evar"], [71, 2, 1, "coq:warn.notation-incompatible-prefix", "notation-incompatible-prefix"], [60, 1, 1, "coq:tacn.now", "now"], [64, 1, 1, "coq:tacn.now_show", "now_show"], [5, 1, 1, "coq:tacn.nra", "nra"], [7, 1, 1, "coq:tacn.nsatz", "nsatz"], [7, 1, 1, "coq:tacn.nsatz_compute", "nsatz_compute"], [54, 1, 1, "coq:tacn.numgoals", "numgoals"], [54, 1, 1, "coq:tacn.once", "once"], [54, 1, 1, "coq:tacn.only", "only"], [54, 1, 1, "coq:tacn.optimize_heap", "optimize_heap"], [57, 1, 1, "coq:tacn.over", "over"], [71, 0, 1, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019", "overflow in int63 literal \u2018bigint\u2019"], [64, 1, 1, "coq:tacn.pattern", "pattern"], [58, 1, 1, "coq:tacn.pose", "pose"], [57, 1, 1, "coq:tacn.pose-(ssreflect)", "pose (ssreflect)"], [58, 1, 1, "coq:tacn.pose-proof", "pose proof"], [71, 2, 1, "coq:warn.postfix-notation-not-level-1", "postfix-notation-not-level-1"], [40, 7, 1, "coq:attr.private(matching)", "private(matching)"], [9, 7, 1, "coq:attr.program", "program"], [54, 1, 1, "coq:tacn.progress", "progress"], [37, 7, 1, "coq:attr.projections(primitive)", "projections(primitive)"], [11, 1, 1, "coq:tacn.protect_fv", "protect_fv"], [5, 1, 1, "coq:tacn.psatz", "psatz"], [59, 0, 1, "coq:exn.public-name-according-to-findlib,-for-example", "public name according to findlib, for example"], [58, 1, 1, "coq:tacn.rapply", "rapply"], [64, 1, 1, "coq:tacn.red", "red"], [13, 7, 1, "coq:attr.refine", "refine"], [58, 1, 1, "coq:tacn.refine", "refine"], [64, 1, 1, "coq:tacn.reflexivity", "reflexivity"], [58, 1, 1, "coq:tacn.remember", "remember"], [58, 1, 1, "coq:tacn.rename", "rename"], [54, 1, 1, "coq:tacn.repeat", "repeat"], [64, 1, 1, "coq:tacn.replace", "replace"], [54, 1, 1, "coq:tacn.reset-ltac-profile", "reset ltac profile"], [54, 1, 1, "coq:tacn.restart_timer", "restart_timer"], [4, 7, 1, "coq:attr.reversible", "reversible"], [58, 1, 1, "coq:tacn.revert", "revert"], [58, 1, 1, "coq:tacn.revert-dependent", "revert dependent"], [66, 1, 1, "coq:tacn.revgoals", "revgoals"], [64, 1, 1, "coq:tacn.rewrite", "rewrite"], [57, 1, 1, "coq:tacn.rewrite-(ssreflect)", "rewrite (ssreflect)"], [64, 1, 1, "coq:tacn.rewrite-*", "rewrite *"], [3, 1, 1, "coq:tacn.rewrite_db", "rewrite_db"], [3, 1, 1, "coq:tacn.rewrite_strat", "rewrite_strat"], [67, 1, 1, "coq:tacn.right", "right"], [11, 1, 1, "coq:tacn.ring", "ring"], [11, 1, 1, "coq:tacn.ring_lookup", "ring_lookup"], [11, 1, 1, "coq:tacn.ring_simplify", "ring_simplify"], [62, 1, 1, "coq:tacn.rtauto", "rtauto"], [58, 1, 1, "coq:tacn.set", "set"], [57, 1, 1, "coq:tacn.set-(ssreflect)", "set (ssreflect)"], [3, 1, 1, "coq:tacn.setoid_etransitivity", "setoid_etransitivity"], [3, 1, 1, "coq:tacn.setoid_reflexivity", "setoid_reflexivity"], [3, 1, 1, "coq:tacn.setoid_replace", "setoid_replace"], [3, 1, 1, "coq:tacn.setoid_rewrite", "setoid_rewrite"], [3, 1, 1, "coq:tacn.setoid_symmetry", "setoid_symmetry"], [3, 1, 1, "coq:tacn.setoid_transitivity", "setoid_transitivity"], [59, 0, 1, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid", "shared library failed: Coq Error: \u2018string\u2019 is not a valid"], [66, 1, 1, "coq:tacn.shelve", "shelve"], [66, 1, 1, "coq:tacn.shelve_unifiable", "shelve_unifiable"], [54, 1, 1, "coq:tacn.show-ltac-profile", "show ltac profile"], [64, 1, 1, "coq:tacn.simpl", "simpl"], [58, 1, 1, "coq:tacn.simple-apply", "simple apply"], [62, 1, 1, "coq:tacn.simple-congruence", "simple congruence"], [67, 1, 1, "coq:tacn.simple-destruct", "simple destruct"], [58, 1, 1, "coq:tacn.simple-eapply", "simple eapply"], [67, 1, 1, "coq:tacn.simple-induction", "simple induction"], [67, 1, 1, "coq:tacn.simple-injection", "simple injection"], [67, 1, 1, "coq:tacn.simple-inversion", "simple inversion"], [64, 1, 1, "coq:tacn.simple-subst", "simple subst"], [67, 1, 1, "coq:tacn.simplify_eq", "simplify_eq"], [72, 1, 1, "coq:tacn.soft-functional-induction", "soft functional induction"], [54, 1, 1, "coq:tacn.solve", "solve"], [66, 1, 1, "coq:tacn.solve_constraints", "solve_constraints"], [58, 1, 1, "coq:tacn.specialize", "specialize"], [58, 1, 1, "coq:tacn.specialize_eqs", "specialize_eqs"], [67, 1, 1, "coq:tacn.split", "split"], [54, 1, 1, "coq:tacn.start-ltac-profiling", "start ltac profiling"], [64, 1, 1, "coq:tacn.stepl", "stepl"], [64, 1, 1, "coq:tacn.stepr", "stepr"], [54, 1, 1, "coq:tacn.stop-ltac-profiling", "stop ltac profiling"], [64, 1, 1, "coq:tacn.subst", "subst"], [64, 1, 1, "coq:tacn.substitute", "substitute"], [57, 1, 1, "coq:tacn.suff", "suff"], [57, 1, 1, "coq:tacn.suffices", "suffices"], [66, 1, 1, "coq:tacn.swap", "swap"], [64, 1, 1, "coq:tacn.symmetry", "symmetry"], [62, 1, 1, "coq:tacn.tauto", "tauto"], [34, 0, 1, "coq:exn.template-and-polymorphism-not-compatible", "template and polymorphism not compatible"], [54, 1, 1, "coq:tacn.time", "time"], [54, 1, 1, "coq:tacn.time_constr", "time_constr"], [54, 1, 1, "coq:tacn.timeout", "timeout"], [64, 1, 1, "coq:tacn.transitivity", "transitivity"], [66, 1, 1, "coq:tacn.transparent_abstract", "transparent_abstract"], [60, 1, 1, "coq:tacn.trivial", "trivial"], [54, 1, 1, "coq:tacn.try", "try"], [54, 1, 1, "coq:tacn.tryif", "tryif"], [54, 1, 1, "coq:tacn.type-of", "type of"], [54, 1, 1, "coq:tacn.type_term", "type_term"], [13, 1, 1, "coq:tacn.typeclasses-eauto", "typeclasses eauto"], [57, 1, 1, "coq:tacn.under", "under"], [64, 1, 1, "coq:tacn.unfold", "unfold"], [54, 1, 1, "coq:tacn.unify", "unify"], [14, 7, 1, "coq:attr.universes(cumulative)", "universes(cumulative)"], [14, 7, 1, "coq:attr.universes(polymorphic)", "universes(polymorphic)"], [34, 7, 1, "coq:attr.universes(template)", "universes(template)"], [57, 1, 1, "coq:tacn.unlock", "unlock"], [66, 1, 1, "coq:tacn.unshelve", "unshelve"], [66, 7, 1, "coq:attr.using", "using"], [58, 1, 1, "coq:tacn.vm_cast_no_check", "vm_cast_no_check"], [64, 1, 1, "coq:tacn.vm_compute", "vm_compute"], [74, 7, 1, "coq:attr.warn", "warn"], [29, 7, 1, "coq:attr.warning", "warning"], [29, 7, 1, "coq:attr.warnings", "warnings"], [64, 1, 1, "coq:tacn.with_strategy", "with_strategy"], [57, 1, 1, "coq:tacn.without-loss", "without loss"], [5, 1, 1, "coq:tacn.wlia", "wlia"], [57, 1, 1, "coq:tacn.wlog", "wlog"], [5, 1, 1, "coq:tacn.wlra_Q", "wlra_Q"], [5, 1, 1, "coq:tacn.wnia", "wnia"], [5, 1, 1, "coq:tacn.wnra_Q", "wnra_Q"], [5, 1, 1, "coq:tacn.wpsatz_Q", "wpsatz_Q"], [5, 1, 1, "coq:tacn.wpsatz_Z", "wpsatz_Z"], [5, 1, 1, "coq:tacn.wsos_Q", "wsos_Q"], [5, 1, 1, "coq:tacn.wsos_Z", "wsos_Z"], [5, 1, 1, "coq:tacn.xlia", "xlia"], [5, 1, 1, "coq:tacn.xlra_Q", "xlra_Q"], [5, 1, 1, "coq:tacn.xlra_R", "xlra_R"], [5, 1, 1, "coq:tacn.xnia", "xnia"], [5, 1, 1, "coq:tacn.xnra_Q", "xnra_Q"], [5, 1, 1, "coq:tacn.xnra_R", "xnra_R"], [5, 1, 1, "coq:tacn.xpsatz_Q", "xpsatz_Q"], [5, 1, 1, "coq:tacn.xpsatz_R", "xpsatz_R"], [5, 1, 1, "coq:tacn.xpsatz_Z", "xpsatz_Z"], [5, 1, 1, "coq:tacn.xsos_Q", "xsos_Q"], [5, 1, 1, "coq:tacn.xsos_R", "xsos_R"], [5, 1, 1, "coq:tacn.xsos_Z", "xsos_Z"], [5, 1, 1, "coq:tacn.zify", "zify"], [5, 1, 1, "coq:tacn.zify_elim_let", "zify_elim_let"], [5, 1, 1, "coq:tacn.zify_iter_let", "zify_iter_let"], [5, 1, 1, "coq:tacn.zify_iter_specs", "zify_iter_specs"], [5, 1, 1, "coq:tacn.zify_op", "zify_op"], [5, 1, 1, "coq:tacn.zify_saturate", "zify_saturate"], [66, 1, 1, "coq:tacn.{", "{"], [54, 1, 1, "coq:tacn.||-(first-tactic-making-progress)", "|| (first tactic making progress)"], [66, 1, 1, "coq:tacn.}", "}"], [4, 0, 1, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant", "\u2018coercion_class\u2019 must be a transparent constant"], [37, 0, 1, "coq:exn.\u2018ident\u2019-already-exists", "\u2018ident\u2019 already exists"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined", "\u2018ident\u2019 cannot be defined"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not", "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined", "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined"], [13, 2, 1, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass", "\u2018ident\u2019 is already declared as a typeclass"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-already-used", "\u2018ident\u2019 is already used"], [66, 2, 1, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable", "\u2018ident\u2019 is both name of a Collection and Variable, Collection \u2018ident\u2019 takes precedence over Variable"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-not-a-local-definition", "\u2018ident\u2019 is not a local definition"], [67, 0, 1, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types", "\u2018ident\u2019 is not an equality of \u03a3 types"], [64, 0, 1, "coq:exn.\u2018ident\u2019-is-opaque", "\u2018ident\u2019 is opaque"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion", "\u2018ident\u2019 is used in the conclusion"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019", "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019"], [66, 2, 1, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command", "\u2018ident\u2019 was already a defined Variable, the name \u2018ident\u2019 will refer to Collection when executing &quot;Proof using&quot; command"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint", "\u2018qualid\u2019 cannot be used as a hint"], [64, 0, 1, "coq:exn.\u2018qualid\u2019-does-not-occur", "\u2018qualid\u2019 does not occur"], [4, 2, 1, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition", "\u2018qualid\u2019 does not respect the uniform inheritance condition"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-already-a-coercion", "\u2018qualid\u2019 is already a coercion"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference", "\u2018qualid\u2019 is bound to a notation that does not denote a reference"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-function", "\u2018qualid\u2019 is not a function"], [35, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-module", "\u2018qualid\u2019 is not a module"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type", "\u2018qualid\u2019 is not an inductive type"], [59, 0, 1, "coq:exn.\u2018qualid\u2019-not-a-defined-object", "\u2018qualid\u2019 not a defined object"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-not-declared", "\u2018qualid\u2019 not declared"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019", "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019"], [74, 2, 1, "coq:warn.\u2018string\u2019", "\u2018string\u2019"], [71, 0, 1, "coq:exn.\u2018type\u2019-is-not-an-inductive-type", "\u2018type\u2019 is not an inductive type"], [71, 2, 1, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation", "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation"], [54, 1, 1, "coq:tacn.\u2026-:-\u2026-(goal-selector)", "\u2026 : \u2026 (goal selector)"], [57, 1, 1, "coq:tacn.\u2026-:-\u2026-(ssreflect)", "\u2026 : \u2026 (ssreflect)"]], "..": [[4, 2, 1, "coq:warn....-is-not-definitionally-an-identity-function", " is not definitionally an identity function"]], "Argument \u2018name\u2019 is a trailing implicit, so it can&#x27;t be declared non maximal": [[44, 0, 1, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]", " Please use { } instead of [ ]"]], "Cannot infer a term for this placeholder": [[44, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)", " (Casual use of implicit arguments)"], [58, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)", " (refine)"]], "Compiled library \u2018ident\u2019": [[59, 0, 1, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019", "vo makes inconsistent assumptions over library \u2018qualid\u2019"]], "Duplicate clear of H": [[57, 2, 1, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H", " Use { }H instead of { H }H"]], "File ... found twice in ..": [[59, 2, 1, "coq:warn.File-...-found-twice-in-...", ""]], "Goal is solvable by congruence but some arguments are missing": [[62, 0, 1, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms", " Try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms"]], "Library File (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Library File \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Ltac Profiler encountered an invalid stack (no self node)": [[54, 2, 1, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution", " This can happen if you reset the profile during tactic execution"]], "Ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Nested proofs are discouraged and not allowed by default. This error probably means that you forgot to close the last &quot;Proof.&quot; with &quot;Qed.&quot; or &quot;Defined.&quot;": [[32, 0, 1, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on", " If you really intended to use nested proofs, you can do so by turning the &quot;Nested Proofs Allowed&quot; flag on"]], "New coercion path ... is ambiguous with existing ..": [[4, 2, 1, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-...", ""]], "No information can be deduced from this equality and the injectivity of constructors. This may be because the terms are convertible, or due to pattern matching restrictions in the sort Prop": [[67, 0, 1, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities", " You can try to use option Set Keep Proof Equalities"]], "No such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ..": [[58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)", ")"]], "No such goal": [[54, 0, 1, "coq:exn.No-such-goal.-(Goal-selector)", " (Goal selector)"], [54, 0, 1, "coq:exn.No-such-goal.-(fail)", " (fail)"], [66, 0, 1, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019", " Focus next goal with bullet \u2018bullet\u2019"], [66, 0, 1, "coq:exn.No-such-goal.-Try-unfocusing-with-}", " Try unfocusing with }"]], "Notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Proof is not complete": [[66, 0, 1, "coq:exn.Proof-is-not-complete.-(abstract)", " (abstract)"], [58, 0, 1, "coq:exn.Proof-is-not-complete.-(assert)", " (assert)"]], "Require inside a module is deprecated and strongly discouraged": [[59, 2, 1, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one", " You can Require a module at toplevel and optionally Import it inside another one"]], "Required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ..": [[59, 0, 1, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)", ")"]], "SSReflect: cannot obtain new equations out of ..": [[57, 2, 1, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-...", ""]], "Tactic Notation \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "The file \u2018ident\u2019": [[59, 0, 1, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019", "vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019"]], "The relation \u2018ident\u2019 is not a declared reflexive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared symmetric relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared transitive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "This command is just asserting the names of arguments of \u2018qualid\u2019. If this is what you want, add &#x27;: assert&#x27; to silence the warning. If you want to clear implicit arguments, add &#x27;: clear implicits&#x27;": [[41, 2, 1, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'", " If you want to clear notation scopes, add &#x27;: clear scopes&#x27;"]], "This hint is not local but depends on a section variable": [[60, 2, 1, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed", " It will disappear when the section is closed"]], "Type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. Expected type is: \u2018type\u2019 instead of \u2018type\u2019": [[71, 2, 1, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation", " This might yield ill typed terms when using the notation"]], "Unable to apply lemma of type &quot;...&quot; on hypothesis of type &quot;..": [[58, 0, 1, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"", "&quot;"]], "Unused variable \u2018ident\u2019 might be a misspelled constructor. Use _ or _\u2018ident\u2019 to silence this warning": [[46, 2, 1, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning.", ""]], "package-name": [[59, 0, 1, "coq:exn.package-name.foo-and-not-foo_plugin", "foo and not foo_plugin"]], "plugin name anymore": [[59, 0, 1, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their", " Plugins should be loaded using their"]], "\u2018ident\u2019 already exists": [[28, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)", " (Axiom)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)", " (Definition)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)", " (Theorem)"]], "\u2018qualid\u2019 should go from Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)", "string to \u2018type\u2019 or (option \u2018type\u2019)"]], "\u2018qualid\u2019 should go from Number.int to \u2018type\u2019 or (option \u2018type\u2019). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or PrimFloat.float or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 or PrimFloat first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to Number.int or (option Number.int). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to T or (option T), where T is either Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string", "string"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by &quot;_&quot;"]], "\u2018string\u2019 cannot be interpreted as a known notation": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by &quot;_&quot;"]]}, "objtypes": {"0": "coq:exn", "1": "coq:tacn", "2": "coq:warn", "3": "coq:cmd", "4": "coq:flag", "5": "coq:thm", "6": "coq:opt", "7": "coq:attr", "8": "coq:table", "9": "coq:tacv"}, "objnames": {"0": ["coq", "exn", "Coq exn"], "1": ["coq", "tacn", "Coq tacn"], "2": ["coq", "warn", "Coq warn"], "3": ["coq", "cmd", "Coq cmd"], "4": ["coq", "flag", "Coq flag"], "5": ["coq", "thm", "Coq thm"], "6": ["coq", "opt", "Coq opt"], "7": ["coq", "attr", "Coq attr"], "8": ["coq", "table", "Coq table"], "9": ["coq", "tacv", "Coq tacv"]}, "titleterms": {"program": [2, 6, 9, 27, 55, 60], "extract": [2, 17, 24], "gener": [2, 3, 4, 11, 14, 23, 29, 44, 54, 55, 57, 67, 71, 72], "ml": [2, 55], "code": 2, "option": [2, 17, 21, 29, 51, 66, 75], "set": [2, 13, 26, 29, 37, 41, 57, 58, 60, 66], "target": [2, 53], "languag": [2, 17, 24, 25, 33, 45, 55, 57], "inlin": [2, 59], "optim": [2, 54], "extra": [2, 59], "elimin": [2, 46, 57], "useless": 2, "argument": [2, 37, 41, 44, 46, 53, 57, 67, 71], "realiz": 2, "axiom": 2, "induct": [2, 26, 34, 40, 46, 67, 71, 72], "type": [2, 3, 4, 10, 17, 26, 28, 30, 32, 34, 35, 37, 38, 40, 44, 46, 54, 55, 57, 59, 67, 71], "ffi": 2, "avoid": 2, "conflict": 2, "exist": [2, 24, 35], "filenam": [2, 53], "addit": [2, 57, 60], "differ": [2, 44, 66], "between": [2, 55, 59, 66], "rocq": [2, 25, 51, 53, 57, 60, 71, 74, 75], "system": [2, 35], "some": [2, 35], "exampl": [2, 3, 4, 5, 6, 11, 14, 17, 26, 27, 28, 29, 30, 31, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "A": [2, 14, 35, 58, 67], "detail": [2, 17, 24, 53], "euclidean": 2, "divis": 2, "": [2, 41, 67], "horror": 2, "museum": 2, "user": [2, 3, 10, 24, 27], "contribut": [2, 24, 27], "rewrit": [3, 10, 57, 64, 67], "introduct": [3, 25, 57], "relat": 3, "morphism": 3, "parametr": [3, 46, 57], "continu": [3, 41, 44], "contravari": 3, "ad": [3, 11, 52], "new": [3, 11, 17, 24, 35, 53, 57, 63], "nonreflex": 3, "nonsymmetr": 3, "covari": 3, "ambigu": 3, "setoid": [3, 64], "context": [3, 13, 54, 55, 57, 58], "valu": [3, 46, 54, 55], "declar": [3, 13, 38, 41, 42, 44, 55, 57, 66, 67], "command": [3, 13, 17, 19, 24, 35, 51, 52, 57, 59, 66, 67, 71, 75, 76], "tactic": [3, 5, 11, 17, 22, 24, 27, 43, 54, 55, 57, 58, 60, 61, 63, 64, 67, 71, 72, 74], "first": [3, 34, 46, 54, 57], "class": [3, 4, 37, 55, 71], "enabl": [3, 66, 71], "provid": [3, 46], "print": [3, 4, 14, 37, 43, 44, 46, 54, 55, 59, 71, 75], "deprec": [3, 74], "syntax": [3, 10, 17, 24, 29, 44, 46, 54, 55, 57, 71], "backward": [3, 58], "incompat": [3, 17], "extens": [3, 24, 45, 46, 57, 71], "under": [3, 57], "binder": [3, 28, 44, 57, 71], "subrel": 3, "constant": [3, 37, 59, 71], "unfold": [3, 41, 64], "dure": 3, "proper": 3, "instanc": [3, 13, 43], "search": [3, 59, 60], "strategi": [3, 46, 64], "usag": [3, 11, 57, 66, 75], "definit": [3, 9, 12, 14, 30, 32, 34, 37, 40, 46, 54, 55, 57, 64, 71], "innermost": 3, "outermost": 3, "implicit": [4, 41, 44, 46, 60, 71], "coercion": [4, 46, 71], "present": [4, 14], "revers": [4, 44, 54, 55, 64], "ident": [4, 54], "inherit": [4, 71], "graph": 4, "displai": [4, 43, 44, 52, 59, 71], "avail": 4, "activ": 4, "record": [4, 37], "section": [4, 13, 14, 38, 66, 75], "modul": [4, 35, 53], "function": [4, 28, 30, 34, 41, 44, 54, 60, 72], "applic": [4, 28, 44, 54, 58], "us": [4, 14, 25, 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"positivstellensatz-refutations"]], "lra: a decision procedure for linear real and rational arithmetic": [[5, "lra-a-decision-procedure-for-linear-real-and-rational-arithmetic"]], "lia: a tactic for linear integer arithmetic": [[5, "lia-a-tactic-for-linear-integer-arithmetic"]], "High level view of lia": [[5, "high-level-view-of-lia"]], "Cutting plane proofs": [[5, "cutting-plane-proofs"]], "Example: Cutting plane": [[5, null]], "Case split": [[5, "case-split"]], "nra: a proof procedure for non-linear arithmetic": [[5, "nra-a-proof-procedure-for-non-linear-arithmetic"]], "nia: a proof procedure for non-linear integer arithmetic": [[5, "nia-a-proof-procedure-for-non-linear-integer-arithmetic"]], "psatz: a proof procedure for non-linear arithmetic": [[5, "psatz-a-proof-procedure-for-non-linear-arithmetic"]], "zify: pre-processing of arithmetic goals": [[5, "zify-pre-processing-of-arithmetic-goals"]], "Example: Lra": [[5, "lra-example"]], "Program derivation": [[6, "program-derivation"]], "Nsatz: a solver for equalities in integral domains": [[7, "nsatz-a-solver-for-equalities-in-integral-domains"]], "More about nsatz": [[7, "more-about-nsatz"]], "Asynchronous and Parallel Proof Processing": [[8, "asynchronous-and-parallel-proof-processing"]], "Proof annotations": [[8, "proof-annotations"]], "Automatic suggestion of proof annotations": [[8, "automatic-suggestion-of-proof-annotations"]], "Proof blocks and error resilience": [[8, "proof-blocks-and-error-resilience"]], "Caveats": [[8, "caveats"], [8, "id3"]], "Interactive mode": [[8, "interactive-mode"], [57, "interactive-mode"]], "Program": [[9, "program"]], "Elaborating programs": [[9, "elaborating-programs"]], "Syntactic control over equalities": [[9, "syntactic-control-over-equalities"]], "Program Definition": [[9, "program-definition"]], "Program Fixpoint": [[9, "program-fixpoint"]], "Program Lemma": [[9, "program-lemma"]], "Solving obligations": [[9, "solving-obligations"]], "Frequently Asked Questions": [[9, "frequently-asked-questions"]], "User-defined rewrite rules": [[10, "user-defined-rewrite-rules"]], "Symbols": [[10, "symbols"]], "Rewrite rules": [[10, "id1"]], "Pattern syntax": [[10, "pattern-syntax"]], "Higher-order pattern holes": [[10, "higher-order-pattern-holes"]], "Universe polymorphic rules": [[10, "universe-polymorphic-rules"]], "Rewrite rules, type preservation, confluence and termination": [[10, "rewrite-rules-type-preservation-confluence-and-termination"]], "Compatibility with the eta laws": [[10, "compatibility-with-the-eta-laws"]], "Level of support": [[10, "level-of-support"]], "ring and field: solvers for polynomial and rational equations": [[11, "ring-and-field-solvers-for-polynomial-and-rational-equations"]], "What does this tactic do?": [[11, "what-does-this-tactic-do"]], "The variables map": [[11, "the-variables-map"]], "Is it automatic?": [[11, "is-it-automatic"]], "Concrete usage": [[11, "concrete-usage"]], "Adding a ring structure": [[11, "adding-a-ring-structure"]], "How does it work?": [[11, "how-does-it-work"]], "Dealing with fields": [[11, "dealing-with-fields"]], "Example: field that generates side goals": [[11, null]], "Adding a new field structure": [[11, "adding-a-new-field-structure"]], "History of ring": [[11, "history-of-ring"]], "Discussion": [[11, "discussion"]], "SProp (proof irrelevant propositions)": [[12, "sprop-proof-irrelevant-propositions"]], "Basic constructs": [[12, "basic-constructs"]], "Encodings for strict propositions": [[12, "encodings-for-strict-propositions"]], "Definitional UIP": [[12, "definitional-uip"]], "Non Termination with UIP": [[12, "non-termination-with-uip"]], "Debugging \\SProp issues": [[12, "debugging-sprop-issues"]], "Typeclasses": [[13, "typeclasses"]], "Typeclass and instance declarations": [[13, "typeclass-and-instance-declarations"]], "Binding typeclasses": [[13, "binding-typeclasses"]], "Parameterized instances": [[13, "parameterized-instances"]], "Sections and contexts": [[13, "sections-and-contexts"]], "Building hierarchies": [[13, "building-hierarchies"]], "Superclasses": [[13, "superclasses"]], "Substructures": [[13, "substructures"]], "Command summary": [[13, "command-summary"]], "Typeclasses Transparent, Typeclasses Opaque": [[13, "typeclasses-transparent-typeclasses-opaque"]], "Settings": [[13, "settings"], [29, "settings"], [57, "settings"]], "Typeclasses eauto": [[13, "typeclasses-eauto"]], "Polymorphic Universes": [[14, "polymorphic-universes"]], "Polymorphic, Monomorphic": [[14, "polymorphic-monomorphic"]], "Cumulative, NonCumulative": [[14, "cumulative-noncumulative"]], "Specifying cumulativity": [[14, "specifying-cumulativity"]], "Example: Demonstration of universe variances": [[14, null]], "Example: A proof using cumulativity": [[14, null]], "Cumulativity Weak Constraints": [[14, "cumulativity-weak-constraints"]], "Global and local universes": [[14, "global-and-local-universes"]], "Conversion and unification": [[14, 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"details-of-changes-in-8-1"]], "Version 8.0": [[17, "version-8-0"]], "Details of changes in 8.0beta old syntax": [[17, "details-of-changes-in-8-0beta-old-syntax"]], "Details of changes in 8.0beta new syntax": [[17, "details-of-changes-in-8-0beta-new-syntax"]], "Details of changes in 8.0": [[17, "details-of-changes-in-8-0"]], "Attribute index": [[18, "attribute-index"]], "Command index": [[19, "command-index"]], "Errors and warnings index": [[20, "errors-and-warnings-index"]], "Flags, options and tables index": [[21, "flags-options-and-tables-index"]], "Tactic index": [[22, "tactic-index"]], "General index": [[23, "general-index"]], "Early history of Coq": [[24, "early-history-of-coq"]], "Historical roots": [[24, "historical-roots"]], "Versions 1 to 5": [[24, "versions-1-to-5"]], "Version 1": [[24, "version-1"]], "Version 2": [[24, "version-2"]], "Version 3": [[24, "version-3"]], "Version 4": [[24, "version-4"]], "Version 5": [[24, "version-5"]], "Versions 6": [[24, "versions-6"]], 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"changes-in-existing-commands"]], "New user contributions": [[24, "new-user-contributions"]], "Details of changes in 7.2": [[24, "details-of-changes-in-7-2"]], "Details of changes in 7.3": [[24, "details-of-changes-in-7-3"]], "Changes in 7.3.1": [[24, "changes-in-7-3-1"]], "Details of changes in 7.4": [[24, "details-of-changes-in-7-4"]], "Introduction and Contents": [[25, "introduction-and-contents"]], "Contents": [[25, "contents"]], "Specification language": [[25, null]], "Proofs": [[25, null]], "Using the Rocq Prover": [[25, null]], "Appendix": [[25, null]], "Typing rules": [[26, "typing-rules"], [26, "id4"]], "The terms": [[26, "the-terms"]], "Subtyping rules": [[26, "subtyping-rules"]], "The Calculus of Inductive Constructions with impredicative Set": [[26, "the-calculus-of-inductive-constructions-with-impredicative-set"]], "The Coq libraries": [[27, "the-coq-libraries"]], "The prelude": [[27, "the-prelude"]], "Logic": [[27, "logic"]], "Propositional Connectives": [[27, "propositional-connectives"]], "Quantifiers": [[27, "quantifiers"]], "Equality": [[27, "equality"]], "Lemmas": [[27, "lemmas"]], "Datatypes": [[27, "datatypes"]], "Programming": [[27, "programming"]], "Specification": [[27, "specification"]], "Basic Arithmetic": [[27, "basic-arithmetic"]], "Well-founded recursion": [[27, "well-founded-recursion"]], "Users\u2019 contributions": [[27, "users-contributions"]], "Functions and assumptions": [[28, "functions-and-assumptions"]], "Binders": [[28, "binders"]], "Functions (fun) and function types (forall)": [[28, "functions-fun-and-function-types-forall"]], "Function application": [[28, "function-application"]], "Assumptions": [[28, "assumptions"]], "Example: Simple assumptions": [[28, null]], "Basic notions and conventions": [[29, "basic-notions-and-conventions"]], "Syntax and lexical conventions": [[29, "syntax-and-lexical-conventions"]], "Syntax conventions": [[29, "syntax-conventions"]], "Lexical conventions": [[29, "lexical-conventions"]], "Example: Stack overflow with nat": [[29, null]], "Essential vocabulary": [[29, "essential-vocabulary"]], "Attributes": [[29, "attributes"]], "Generic attributes": [[29, "generic-attributes"]], "Document-level attributes": [[29, "document-level-attributes"]], "Flags, Options and Tables": [[29, "flags-options-and-tables"]], "Locality attributes supported by Set and Unset": [[29, "locality-attributes-supported-by-set-and-unset"]], "Coinductive types and corecursive functions": [[30, "coinductive-types-and-corecursive-functions"]], "Coinductive types": [[30, "coinductive-types"]], "Caveat": [[30, "caveat"]], "Co-recursive functions: cofix": [[30, "co-recursive-functions-cofix"]], "Top-level definitions of corecursive functions": [[30, "top-level-definitions-of-corecursive-functions"]], "Conversion rules": [[31, "conversion-rules"]], "\u03b1-conversion": [[31, "conversion"]], "\u03b2-reduction": [[31, "reduction"]], "\u03b4-reduction": [[31, "delta-reduction-sect"]], "\u03b9-reduction": [[31, "id4"]], "\u03b6-reduction": [[31, "id6"]], "\u03b7-expansion": [[31, "expansion"]], "Example: Simple delta, fix, beta and match reductions": [[31, null]], "Proof Irrelevance": [[31, "proof-irrelevance"]], "Convertibility": [[31, "convertibility"]], "Let-in definitions": [[32, "let-in-definitions"]], "Type cast": [[32, "type-cast"]], "Top-level definitions": [[32, "top-level-definitions"]], "Assertions and proofs": [[32, "assertions-and-proofs"]], "Core language": [[33, "core-language"]], "Inductive types and recursive functions": [[34, "inductive-types-and-recursive-functions"]], "Inductive types": [[34, "inductive-types"]], "Simple inductive types": [[34, "simple-inductive-types"]], "Automatic Prop lowering": [[34, "automatic-prop-lowering"]], "Simple indexed inductive types": [[34, "simple-indexed-inductive-types"]], "Parameterized inductive types": [[34, "parameterized-inductive-types"]], "Mutually defined inductive types": [[34, "mutually-defined-inductive-types"]], "Example: Mutually defined inductive types": [[34, null]], "Recursive functions: fix": [[34, "recursive-functions-fix"]], "Top-level recursive functions": [[34, "top-level-recursive-functions"]], "Example: Mutual fixpoints": [[34, null]], "Theory of inductive definitions": [[34, "theory-of-inductive-definitions"]], "Types of inductive objects": [[34, "types-of-inductive-objects"]], "Well-formed inductive definitions": [[34, "well-formed-inductive-definitions"]], "Arity of a given sort": [[34, "arity-of-a-given-sort"]], "Arity": [[34, "arity"]], "Type of constructor": [[34, "type-of-constructor"]], "Positivity Condition": [[34, "positivity-condition"]], "Strict positivity": [[34, "strict-positivity"]], "Nested Positivity": [[34, "nested-positivity"]], "Correctness rules": [[34, "correctness-rules"]], "Example: Negative occurrence (first example)": [[34, null]], "Example: Negative occurrence (second example)": [[34, null]], "Example: Non strictly positive occurrence": [[34, null]], "Template polymorphism": [[34, "template-polymorphism"]], "Destructors": [[34, "destructors"]], "The match ... with ... end construction": [[34, "the-match-with-end-construction"]], "Fixpoint definitions": [[34, "fixpoint-definitions"]], "Typing rule": [[34, "id10"]], "Reduction rule": [[34, "reduction-rule"]], "The Module System": [[35, "the-module-system"]], "Modules and module types": [[35, "modules-and-module-types"]], "Using modules": [[35, "using-modules"]], "Example: Defining a simple module interactively": [[35, null]], "Example: Defining a simple module type interactively": [[35, "example-def-simple-module-type"]], "Example: Creating a new module that omits some items from an existing module": [[35, "example-filter-module"]], "Example: Creating a functor (a module with parameters)": [[35, null]], "Example: A module type with two sub-modules, sharing some fields": [[35, null]], "Qualified names": [[35, "qualified-names"]], "Controlling the scope of commands with locality attributes": [[35, "controlling-the-scope-of-commands-with-locality-attributes"]], "Summary of locality attributes in a module": [[35, "summary-of-locality-attributes-in-a-module"]], "Typing Modules": [[35, "typing-modules"]], "Primitive objects": [[36, "primitive-objects"]], "Primitive Integers": [[36, "primitive-integers"]], "Primitive Floats": [[36, "primitive-floats"]], "Primitive Arrays": [[36, "primitive-arrays"]], "Primitive (Byte-Based) Strings": [[36, "primitive-byte-based-strings"]], "Record types": [[37, "record-types"]], "Defining record types": [[37, "defining-record-types"]], "Example: Defining a record": [[37, null]], "Example: Reusing a field name in multiple records": [[37, null]], "Example: Using the \"as\" clause in a record definition": [[37, null]], "Example: Argument name for a record type created using Class": [[37, null]], "Constructing records": [[37, "constructing-records"]], "Example: Constructing 1/2 as a record": [[37, null]], "Accessing fields (projections)": [[37, "accessing-fields-projections"]], "Example: Accessing record fields": [[37, null]], "Example: Matching on records": [[37, null]], "Example: Accessing anonymous record fields with match": [[37, null]], "Settings for printing records": [[37, "settings-for-printing-records"]], "Primitive Projections": [[37, "primitive-projections"]], "Compatibility Constants for Projections": [[37, "compatibility-constants-for-projections"]], "Sections": [[38, "sections"], [75, "sections"]], "Using sections": [[38, "using-sections"]], "Example: Section-local declarations": [[38, "section-local-declarations"]], "Summary of locality attributes in a section": [[38, "summary-of-locality-attributes-in-a-section"]], "Typing rules used at the end of a section": [[38, "typing-rules-used-at-the-end-of-a-section"]], "Sorts": [[39, "sorts"]], "Variants and the match construct": [[40, "variants-and-the-match-construct"]], "Variants": [[40, "id1"]], "Private (matching) inductive types": [[40, "private-matching-inductive-types"]], "Definition by cases: match": [[40, "definition-by-cases-match"]], "Setting properties of a function's arguments": [[41, "setting-properties-of-a-function-s-arguments"]], "Manual declaration of implicit arguments": [[41, "manual-declaration-of-implicit-arguments"]], "Example: Multiple alternatives with implicits_alt": [[41, "example-more-implicits"]], "Automatic declaration of implicit arguments": [[41, "automatic-declaration-of-implicit-arguments"]], "Example: Default implicits": [[41, null]], "Renaming implicit arguments": [[41, "renaming-implicit-arguments"]], "Example: (continued)  Renaming implicit arguments": [[41, null]], "Binding arguments to scopes": [[41, "binding-arguments-to-scopes"]], "Effects of Arguments on unfolding": [[41, "effects-of-arguments-on-unfolding"]], "Bidirectionality hints": [[41, "bidirectionality-hints"]], "Example: Bidirectionality hints": [[41, null]], "Canonical Structures": [[42, "canonical-structures"]], "Declaration of canonical structures": [[42, "declaration-of-canonical-structures"]], "Notation overloading": [[42, "notation-overloading"]], "Derived Canonical Structures": [[42, "derived-canonical-structures"]], "Hierarchy of structures": [[42, "hierarchy-of-structures"]], "Compact declaration of Canonical Structures": [[42, "compact-declaration-of-canonical-structures"]], "Existential variables": [[43, "existential-variables"]], "Inferable subterms": [[43, "inferable-subterms"]], "e* tactics that can create existential variables": [[43, "e-tactics-that-can-create-existential-variables"]], "Example: apply vs eapply": [[43, null]], "Automatic resolution of existential variables": [[43, "automatic-resolution-of-existential-variables"]], "Example: Automatic resolution of existential variables": [[43, "automatic-evar-resolution"]], "Explicit display of existential instances for pretty-printing": [[43, "explicit-display-of-existential-instances-for-pretty-printing"]], "Solving existential variables using tactics": [[43, "solving-existential-variables-using-tactics"]], "Implicit arguments": [[44, "implicit-arguments"]], "The different kinds of implicit arguments": [[44, "the-different-kinds-of-implicit-arguments"]], "Implicit arguments inferable from the knowledge of other arguments of a function": [[44, "implicit-arguments-inferable-from-the-knowledge-of-other-arguments-of-a-function"]], "Implicit arguments inferable by resolution": [[44, "implicit-arguments-inferable-by-resolution"]], "Maximal and non-maximal insertion of implicit arguments": [[44, "maximal-and-non-maximal-insertion-of-implicit-arguments"]], "Trailing Implicit Arguments": [[44, "trailing-implicit-arguments"]], "Casual use of implicit arguments": [[44, "casual-use-of-implicit-arguments"]], "Declaration of implicit arguments": [[44, "declaration-of-implicit-arguments"]], "Implicit Argument Binders": [[44, "implicit-argument-binders"]], "Mode for automatic declaration of implicit arguments": [[44, "mode-for-automatic-declaration-of-implicit-arguments"]], "Controlling strict implicit arguments": [[44, "controlling-strict-implicit-arguments"]], "Controlling contextual implicit arguments": [[44, "controlling-contextual-implicit-arguments"]], "Controlling reversible-pattern implicit arguments": [[44, "controlling-reversible-pattern-implicit-arguments"]], "Controlling the insertion of implicit arguments not followed by explicit arguments": [[44, "controlling-the-insertion-of-implicit-arguments-not-followed-by-explicit-arguments"]], "Combining manual declaration and automatic declaration": [[44, "combining-manual-declaration-and-automatic-declaration"]], "Explicit applications": [[44, "explicit-applications"]], "Example: Syntax for explicitly giving implicit arguments (continued)": [[44, null]], "Displaying implicit arguments": [[44, "displaying-implicit-arguments"]], "Displaying implicit arguments when pretty-printing": [[44, "displaying-implicit-arguments-when-pretty-printing"]], "Interaction with subtyping": [[44, "interaction-with-subtyping"]], "Deactivation of implicit arguments for parsing": [[44, "deactivation-of-implicit-arguments-for-parsing"]], "Implicit types of variables": [[44, "implicit-types-of-variables"]], "Implicit generalization": [[44, "implicit-generalization"]], "Language extensions": [[45, "language-extensions"]], "Extended pattern matching": [[46, "extended-pattern-matching"]], "Variants and extensions of match": [[46, "variants-and-extensions-of-match"]], "Multiple and nested pattern matching": [[46, "multiple-and-nested-pattern-matching"]], "Pattern-matching on boolean values: the if expression": [[46, "pattern-matching-on-boolean-values-the-if-expression"]], "Irrefutable patterns: the destructuring let variants": [[46, "irrefutable-patterns-the-destructuring-let-variants"]], "First destructuring let syntax": [[46, "first-destructuring-let-syntax"]], "Second destructuring let syntax": [[46, "second-destructuring-let-syntax"]], "Controlling pretty-printing of match expressions": [[46, "controlling-pretty-printing-of-match-expressions"]], "Printing nested patterns": [[46, "printing-nested-patterns"]], "Factorization of clauses with same right-hand side": [[46, "factorization-of-clauses-with-same-right-hand-side"]], "Use of a default clause": [[46, "use-of-a-default-clause"]], "Printing of wildcard patterns": [[46, "printing-of-wildcard-patterns"]], "Printing of the elimination predicate": [[46, "printing-of-the-elimination-predicate"]], "Printing of hidden subterms": [[46, "printing-of-hidden-subterms"]], "Printing matching on irrefutable patterns": [[46, "printing-matching-on-irrefutable-patterns"]], "Printing matching on booleans": [[46, "printing-matching-on-booleans"]], "Conventions about unused pattern-matching variables": [[46, "conventions-about-unused-pattern-matching-variables"]], "Patterns": [[46, "patterns"]], "Multiple patterns": [[46, "multiple-patterns"]], "Aliasing subpatterns": [[46, "aliasing-subpatterns"]], "Nested patterns": [[46, "nested-patterns"]], "Disjunctive patterns": [[46, "disjunctive-patterns"]], "About patterns of parametric types": [[46, "about-patterns-of-parametric-types"]], "Parameters in patterns": [[46, "parameters-in-patterns"]], "Implicit arguments in patterns": [[46, "implicit-arguments-in-patterns"]], "Matching objects of dependent types": [[46, "matching-objects-of-dependent-types"]], "Understanding dependencies in patterns": [[46, "understanding-dependencies-in-patterns"]], "When the elimination predicate must be provided": [[46, "when-the-elimination-predicate-must-be-provided"]], "Dependent pattern matching": [[46, "dependent-pattern-matching"]], "Multiple dependent pattern matching": [[46, "multiple-dependent-pattern-matching"]], "Patterns in in": [[46, "patterns-in-in"]], "Using pattern matching to write proofs": [[46, "using-pattern-matching-to-write-proofs"]], "Pattern-matching on inductive objects involving local definitions": [[46, "pattern-matching-on-inductive-objects-involving-local-definitions"]], "Pattern-matching and coercions": [[46, "pattern-matching-and-coercions"]], "When does the expansion strategy fail?": [[46, "when-does-the-expansion-strategy-fail"]], "The Rocq Prover commands": [[51, "the-rocq-prover-commands"]], "Interactive use (coqtop)": [[51, "interactive-use-coqtop"]], "Batch compilation (coqc)": [[51, "batch-compilation-coqc"]], "Example: Compiling and loading a single file": [[51, null]], "Customization at launch time": [[51, "customization-at-launch-time"]], "Command parameters": [[51, "command-parameters"]], "coqrc start up script": [[51, "coqrc-start-up-script"]], "Environment variables": [[51, "environment-variables"]], "Command line options": [[51, "command-line-options"], [75, "command-line-options"]], "Profiling": [[51, "profiling"], [55, "profiling"]], "Compiled interfaces (produced using -vos)": [[51, "compiled-interfaces-produced-using-vos"]], "Compiled libraries checker (coqchk)": [[51, "compiled-libraries-checker-coqchk"]], "Managing files and buffers, basic editing": [[52, "managing-files-and-buffers-basic-editing"]], "Running Coq scripts": [[52, "running-coq-scripts"]], "Asynchronous mode": [[52, "asynchronous-mode"]], "Commands and templates": [[52, "commands-and-templates"]], "Queries": [[52, "queries"]], "Compilation": [[52, "compilation"]], "Customizations": [[52, "customizations"]], "Preferences": [[52, "preferences"]], "Key bindings": [[52, "key-bindings"]], "Using Unicode symbols": [[52, "using-unicode-symbols"]], "Displaying Unicode symbols": [[52, "displaying-unicode-symbols"]], "Bindings for input of Unicode symbols": [[52, "bindings-for-input-of-unicode-symbols"]], "Adding custom bindings": [[52, "adding-custom-bindings"]], "Character encoding for saved files": [[52, "character-encoding-for-saved-files"]], "Debugger": [[52, "debugger"]], "Breakpoints": [[52, "breakpoints"]], "Call Stack and Variables": [[52, "call-stack-and-variables"]], "Supported use cases": [[52, "supported-use-cases"]], "Building Rocq Projects": [[53, "building-rocq-projects"]], "Rocq configuration basics": [[53, "rocq-configuration-basics"]], "Installing the Rocq Prover and Rocq packages with opam": [[53, "installing-the-rocq-prover-and-rocq-packages-with-opam"]], "Setup for working on your own projects": [[53, "setup-for-working-on-your-own-projects"]], "Building a project with _CoqProject (overview)": [[53, "building-a-project-with-coqproject-overview"]], "Logical paths and the load path": [[53, "logical-paths-and-the-load-path"]], "Modifying multiple interdependent projects at the same time": [[53, "modifying-multiple-interdependent-projects-at-the-same-time"]], "Installed and uninstalled packages": [[53, "installed-and-uninstalled-packages"]], "Upgrading to a new version of Rocq": [[53, "upgrading-to-a-new-version-of-rocq"]], "Building a Rocq project with coq_makefile (details)": [[53, "building-a-rocq-project-with-coq-makefile-details"]], "Comments": [[53, "comments"]], "Quoting arguments to coqc": [[53, "quoting-arguments-to-coqc"]], "Forbidden filenames": [[53, "forbidden-filenames"]], "Warning: No common logical root": [[53, "warning-no-common-logical-root"]], "CoqMakefile.local": [[53, "coqmakefile-local"]], "CoqMakefile.local-late": [[53, "coqmakefile-local-late"]], "Timing targets and performance testing": [[53, "timing-targets-and-performance-testing"]], "Building a subset of the targets with -j": [[53, "building-a-subset-of-the-targets-with-j"]], "Precompiling for native_compute": [[53, "precompiling-for-native-compute"]], "The grammar of _CoqProject": [[53, "the-grammar-of-coqproject"]], "Building a Rocq project with Dune": [[53, "building-a-rocq-project-with-dune"]], "coqdep: Computing Module dependencies": [[53, "coqdep-computing-module-dependencies"]], "Split compilation of native computation files": [[53, "split-compilation-of-native-computation-files"]], "Using Rocq as a library": [[53, "using-rocq-as-a-library"]], "Embedded Rocq phrases inside LaTeX documents": [[53, "embedded-rocq-phrases-inside-latex-documents"]], "Man pages": [[53, "man-pages"]], "Ltac": [[54, "ltac"]], "Example: Basic tactic macros": [[54, null]], "Defects": [[54, "defects"]], "Syntax": [[54, "syntax"], [55, "syntax"], [57, "syntax"], [71, "syntax"]], "Values": [[54, "values"]], "Syntactic values": [[54, "syntactic-values"]], "Substitution": [[54, "substitution"]], "Example: Substitution of global and local symbols": [[54, null]], "Local definitions: let": [[54, "local-definitions-let"]], "Function construction and application": [[54, "function-construction-and-application"]], "Tactics in terms": [[54, "tactics-in-terms"]], "Goal selectors": [[54, "goal-selectors"]], "Example: Selector reordering goals": [[54, "reordering-goals-ex"]], "Processing multiple goals": [[54, "processing-multiple-goals"]], "Example: Multiple focused goals": [[54, null]], "Branching and backtracking": [[54, "branching-and-backtracking"]], "Example: Backtracking": [[54, null]], "Control flow": [[54, "control-flow"], [57, "control-flow"]], "Sequence: ;": [[54, "sequence"]], "Do loop": [[54, "do-loop"]], "Repeat loop": [[54, "repeat-loop"]], "Catching errors: try": [[54, "catching-errors-try"]], "Conditional branching: tryif": [[54, "conditional-branching-tryif"]], "Alternatives": [[54, "alternatives"]], "Branching with backtracking: +": [[54, "branching-with-backtracking"]], "Example: Backtracking branching with +": [[54, null]], "Local application of tactics: [> ... ]": [[54, "local-application-of-tactics"]], "First tactic to succeed": [[54, "first-tactic-to-succeed"]], "Example: Backtracking inside a non-backtracking construct": [[54, null]], "Example: Referring to a list of tactics in Tactic Notation": [[54, null]], "Solving": [[54, "solving"]], "First tactic to make progress: ||": [[54, "first-tactic-to-make-progress"]], "Detecting progress": [[54, "detecting-progress"]], "Success and failure": [[54, "success-and-failure"]], "Checking for success: assert_succeeds": [[54, "checking-for-success-assert-succeeds"]], "Checking for failure: assert_fails": [[54, "checking-for-failure-assert-fails"]], "Failing": [[54, "failing"]], "Soft cut: once": [[54, "soft-cut-once"]], "Checking for a single success: exactly_once": [[54, "checking-for-a-single-success-exactly-once"]], "Manipulating values": [[54, "manipulating-values"]], "Pattern matching on terms: match": [[54, "pattern-matching-on-terms-match"]], "Example: Comparison of lazymatch and match": [[54, null]], "Example: Comparison of match and multimatch": [[54, null]], "Example: Matching a pattern with holes": [[54, null]], "Example: Multiple matches for a \"context\" pattern.": [[54, null]], "Pattern matching on goals and hypotheses: match goal": [[54, "pattern-matching-on-goals-and-hypotheses-match-goal"]], "Example: Matching hypotheses": [[54, null]], "Example: Matching hypotheses with reverse": [[54, null], [55, "ltac2-match-goal-hyps-rev-ex"]], "Example: Multiple ways to match hypotheses": [[54, null]], "Filling a term context": [[54, "filling-a-term-context"]], "Example: Substituting a matched context": [[54, null]], "Generating fresh hypothesis names": [[54, "generating-fresh-hypothesis-names"]], "Computing in a term: eval": [[54, "computing-in-a-term-eval"]], "Getting the type of a term": [[54, "getting-the-type-of-a-term"]], "Manipulating untyped terms: type_term": [[54, "manipulating-untyped-terms-type-term"]], "Counting goals: numgoals": [[54, "counting-goals-numgoals"]], "Testing boolean expressions: guard": [[54, "testing-boolean-expressions-guard"]], "Example: guard": [[54, null]], "Checking properties of terms": [[54, "checking-properties-of-terms"]], "Example: is_fix": [[54, null]], "Example: is_cofix": [[54, null]], "Example: is_proj": [[54, null]], "Timing": [[54, "timing"]], "Timeout": [[54, "timeout"]], "Timing a tactic": [[54, "timing-a-tactic"]], "Timing a tactic that evaluates to a term: time_constr": [[54, "timing-a-tactic-that-evaluates-to-a-term-time-constr"]], "Print/identity tactic: idtac": [[54, "print-identity-tactic-idtac"]], "Tactic toplevel definitions": [[54, "tactic-toplevel-definitions"]], "Defining Ltac symbols": [[54, "defining-ltac-symbols"]], "Printing Ltac tactics": [[54, "printing-ltac-tactics"]], "Examples of using Ltac": [[54, "examples-of-using-ltac"]], "Proof that the natural numbers have at least two elements": [[54, "proof-that-the-natural-numbers-have-at-least-two-elements"]], "Example: Proof that the natural numbers have at least two elements": [[54, null]], "Proving that a list is a permutation of a second list": [[54, "proving-that-a-list-is-a-permutation-of-a-second-list"]], "Example: Proving that a list is a permutation of a second list": [[54, null]], "Deciding intuitionistic propositional logic": [[54, "deciding-intuitionistic-propositional-logic"]], "Deciding type isomorphisms": [[54, "deciding-type-isomorphisms"]], "Debugging Ltac tactics": [[54, "debugging-ltac-tactics"]], "Backtraces": [[54, "backtraces"]], "Tracing execution": [[54, "tracing-execution"]], "Interactive debugger": [[54, "interactive-debugger"]], "Profiling Ltac tactics": [[54, "profiling-ltac-tactics"]], "Run-time optimization tactic": [[54, "run-time-optimization-tactic"]], "Ltac2": [[55, "ltac2"]], "General design": [[55, "general-design"]], "ML component": [[55, "ml-component"]], "Overview": [[55, "overview"], [55, "id3"]], "Type Syntax": [[55, "type-syntax"]], "Type declarations": [[55, "type-declarations"]], "APIs": [[55, "apis"]], "Term Syntax": [[55, "term-syntax"]], "Ltac2 Definitions": [[55, "ltac2-definitions"]], "Example: Dynamic nature of mutable cells": [[55, null]], "Example: Interaction with recursive calls": [[55, null]], "Printing Ltac2 tactics": [[55, "printing-ltac2-tactics"]], "Typing": [[55, "typing"]], "Effects": [[55, "effects"]], "Standard IO": [[55, "standard-io"]], "Fatal errors": [[55, "fatal-errors"]], "Backtracking": [[55, "backtracking"], [59, "backtracking"]], "Goals": [[55, "goals"]], "Meta-programming": [[55, "meta-programming"]], "Quotations": [[55, "quotations"]], "Built-in quotations": [[55, "built-in-quotations"]], "Strict vs. non-strict mode": [[55, "strict-vs-non-strict-mode"]], "Term Antiquotations": [[55, "term-antiquotations"]], "Semantics": [[55, "semantics"]], "Static semantics": [[55, "static-semantics"]], "Dynamic semantics": [[55, "dynamic-semantics"]], "Match over terms": [[55, "match-over-terms"]], "Example: Ltac2 Comparison of lazy_match! and match!": [[55, "ltac2-match-vs-lazymatch-ex"]], "Example: Ltac2 Comparison of match! and multi_match!": [[55, "ltac2-match-vs-multimatch-ex"]], "Example: Ltac2 Multiple matches for a \"context\" pattern.": [[55, "ltac2-match-term-context-ex"]], "Match over goals": [[55, "match-over-goals"]], "Example: Ltac2 Matching hypotheses": [[55, "ltac2-match-goal-hyps-ex"]], "Example: Multiple ways to match a hypotheses": [[55, "ltac2-match-goal-multiple-hyps-ex"]], "Match on values": [[55, "match-on-values"]], "Example: Printing a term": [[55, null]], "Example: Parsing a list of terms": [[55, null]], "Abbreviations": [[55, "abbreviations"], [57, "abbreviations"], [71, "abbreviations"]], "Defining tactics": [[55, "defining-tactics"]], "Syntactic classes": [[55, "syntactic-classes"]], "Evaluation": [[55, "evaluation"]], "Debug": [[55, "debug"]], "Compatibility layer with Ltac1": [[55, "compatibility-layer-with-ltac1"]], "Ltac1 from Ltac2": [[55, "ltac1-from-ltac2"]], "Simple API": [[55, "simple-api"]], "Low-level API": [[55, "low-level-api"]], "Ltac2 from Ltac1": [[55, "ltac2-from-ltac1"]], "Switching between Ltac languages": [[55, "switching-between-ltac-languages"]], "Transition from Ltac1": [[55, "transition-from-ltac1"]], "Syntax changes": [[55, "syntax-changes"]], "Tactic delay": [[55, "tactic-delay"]], "Variable binding": [[55, "variable-binding"]], "In Ltac expressions": [[55, "in-ltac-expressions"]], "In quotations": [[55, "in-quotations"]], "Exception catching": [[55, "exception-catching"]], "The SSReflect proof language": [[57, "the-ssr-proof-language"]], "Introduction": [[57, "introduction"]], "Acknowledgments": [[57, "acknowledgments"]], "Getting started": [[57, "getting-started"]], "Compatibility issues": [[57, "compatibility-issues"]], "Gallina extensions": [[57, "gallina-extensions"]], "Pattern assignment": [[57, "pattern-assignment"]], "Pattern conditional": [[57, "pattern-conditional"]], "Parametric polymorphism": [[57, "parametric-polymorphism"]], "Anonymous arguments": [[57, "anonymous-arguments"]], "Wildcards": [[57, "wildcards"]], "Matching": [[57, "matching"]], "Occurrence selection": [[57, "occurrence-selection"]], "Basic localization": [[57, "basic-localization"]], "Basic tactics": [[57, "basic-tactics"]], "Bookkeeping": [[57, "bookkeeping"]], "The defective tactics": [[57, "the-defective-tactics"]], "The move tactic.": [[57, "the-move-tactic"]], "The case tactic": [[57, "the-case-tactic"]], "The elim tactic": [[57, "the-elim-tactic"]], "The apply tactic": [[57, "the-apply-tactic"]], "Discharge": [[57, "discharge"]], "Clear rules": [[57, "clear-rules"]], "Matching for apply and exact": [[57, "matching-for-apply-and-exact"]], "The abstract tactic": [[57, "the-abstract-tactic"]], "Introduction in the context": [[57, "introduction-in-the-context"]], "Simplification items": [[57, "simplification-items"]], "Views": [[57, "views"]], "Intro patterns": [[57, "intro-patterns"], [58, "intro-patterns"]], "Clear switch": [[57, "clear-switch"]], "Branching and destructuring": [[57, "branching-and-destructuring"]], "Block introduction": [[57, "block-introduction"]], "Generation of equations": [[57, "generation-of-equations"]], "Type families": [[57, "type-families"]], "Indentation and bullets": [[57, "indentation-and-bullets"]], "Terminators": [[57, "terminators"]], "Selectors": [[57, "selectors"]], "Iteration": [[57, "iteration"]], "Localization": [[57, "localization"]], "Structure": [[57, "structure"]], "The have tactic.": [[57, "the-have-tactic"]], "Generating let in context entries with have": [[57, "generating-let-in-context-entries-with-have"]], "The have tactic and typeclass resolution": [[57, "the-have-tactic-and-typeclass-resolution"]], "Variants: the suff and wlog tactics": [[57, "variants-the-suff-and-wlog-tactics"]], "Advanced generalization": [[57, "advanced-generalization"]], "Rewriting": [[57, "rewriting"]], "An extended rewrite tactic": [[57, "an-extended-rewrite-tactic"]], "Remarks and examples": [[57, "remarks-and-examples"]], "Rewrite redex selection": [[57, "rewrite-redex-selection"]], "Chained rewrite steps": [[57, "chained-rewrite-steps"]], "Explicit redex switches are matched first": [[57, "explicit-redex-switches-are-matched-first"]], "Occurrence switches and redex switches": [[57, "occurrence-switches-and-redex-switches"]], "Occurrence selection and repetition": [[57, "occurrence-selection-and-repetition"]], "Multi-rule rewriting": [[57, "multi-rule-rewriting"]], "Wildcards vs abstractions": [[57, "wildcards-vs-abstractions"]], "When SSReflect rewrite fails on standard Rocq licit rewrite": [[57, "when-ssr-rewrite-fails-on-standard-rocq-licit-rewrite"]], "Existential metavariables and rewriting": [[57, "existential-metavariables-and-rewriting"]], "The under tactic": [[57, "the-under-tactic"]], "The over tactic": [[57, "the-over-tactic"]], "One-liner mode": [[57, "one-liner-mode"]], "Locking, unlocking": [[57, "locking-unlocking"]], "Congruence": [[57, "congruence"]], "Contextual patterns": [[57, "contextual-patterns"]], "Matching contextual patterns": [[57, "matching-contextual-patterns"]], "Contextual pattern in set and the : tactical": [[57, "contextual-pattern-in-set-and-the-tactical"]], "Contextual patterns in rewrite": [[57, "contextual-patterns-in-rewrite"]], "Patterns for recurrent contexts": [[57, "patterns-for-recurrent-contexts"]], "Views and reflection": [[57, "views-and-reflection"]], "Interpreting eliminations": [[57, "interpreting-eliminations"]], "Interpreting assumptions": [[57, "interpreting-assumptions"], [57, "id16"]], "Specializing assumptions": [[57, "specializing-assumptions"], [57, "id15"]], "Interpreting goals": [[57, "interpreting-goals"], [57, "id17"]], "Boolean reflection": [[57, "boolean-reflection"]], "The reflect predicate": [[57, "the-reflect-predicate"]], "General mechanism for interpreting goals and assumptions": [[57, "general-mechanism-for-interpreting-goals-and-assumptions"]], "Interpreting equivalences": [[57, "interpreting-equivalences"]], "Declaring new Hint Views": [[57, "declaring-new-hint-views"]], "Multiple views": [[57, "multiple-views"]], "Additional view shortcuts": [[57, "additional-view-shortcuts"]], "Synopsis and Index": [[57, "synopsis-and-index"]], "Parameters": [[57, "parameters"]], "Items and switches": [[57, "items-and-switches"]], "Tacticals": [[57, "tacticals"]], "Common elements of tactics": [[58, "common-elements-of-tactics"]], "Reserved keywords": [[58, "reserved-keywords"]], "Invocation of tactics": [[58, "invocation-of-tactics"]], "Bindings": [[58, "bindings"]], "Example: intro pattern for /\\": [[58, null]], "Example: intro pattern for \\/": [[58, null]], "Example: -> intro pattern": [[58, null]], "Example: [=] intro pattern": [[58, null]], "Example: (A & B & \u2026) intro pattern": [[58, null]], "Example: * intro pattern": [[58, null]], "Example: ** pattern (\"intros **\" is equivalent to \"intros\")": [[58, null]], "Example: compound intro pattern": [[58, null]], "Example: combined intro pattern using [=] -> and %": [[58, null]], "Occurrence clauses": [[58, "occurrence-clauses"]], "Applying theorems": [[58, "applying-theorems"]], "Example: Backward reasoning in the goal with apply": [[58, "apply-backward"]], "Example: Backward reasoning in the goal with apply including a premise": [[58, "apply-backward-w-premises"]], "Example: Forward reasoning in hypotheses with apply": [[58, "apply-forward"]], "Example: Apply a theorem with a binding in a goal": [[58, "apply-with-binding-goal"]], "Example: Apply a theorem with a binding in a hypothesis": [[58, "apply-with-binding-hyp"]], "Example: Applying theorems with <->": [[58, "apply-with-iff"]], "Example: Special case of second-order unification in apply": [[58, "example-apply-pattern"]], "Managing the local context": [[58, "managing-the-local-context"]], "Example: intro and intros": [[58, "intro-examples"]], "Example: intros until": [[58, null]], "Example: move": [[58, null]], "Example: set with a simple_binder": [[58, null]], "Controlling the proof flow": [[58, "controlling-the-proof-flow"]], "Example: partial application in specialize": [[58, null]], "Example: specialize with a non-dependent product": [[58, null]], "Example: contradiction tactic": [[58, null]], "Classical tactics": [[58, "classical-tactics"]], "Performance-oriented tactic variants": [[58, "performance-oriented-tactic-variants"]], "Displaying": [[59, "displaying"]], "Query commands": [[59, "query-commands"]], "Example: Searching for a pattern": [[59, "search-pattern"]], "Example: Searching for part of an identifier": [[59, "search-part-ident"]], "Example: Searching for a reference by notation": [[59, "search-by-notation"]], "Example: Disambiguating between part of identifier and notation": [[59, "search-disambiguate-notation"]], "Example: Search in hypotheses": [[59, "search-hyp"]], "Example: Search in conclusion": [[59, "search-concl"]], "Example: Search by keyword or status": [[59, "search-by-keyword"]], "Example: SearchPattern examples": [[59, null]], "Example: SearchRewrite examples": [[59, null]], "Requests to the environment": [[59, "requests-to-the-environment"]], "Example: Locate examples": [[59, null]], "Printing flags": [[59, "printing-flags"]], "Loading files": [[59, "loading-files"]], "Compiled files": [[59, "compiled-files"]], "Load paths": [[59, "load-paths"]], "Extra Dependencies": [[59, "extra-dependencies"]], "Quitting and debugging": [[59, "quitting-and-debugging"]], "Controlling display": [[59, "controlling-display"]], "Printing constructions in full": [[59, "printing-constructions-in-full"]], "Controlling Typing Flags": [[59, "controlling-typing-flags"]], "Internal registration commands": [[59, "internal-registration-commands"]], "Exposing constants to OCaml libraries": [[59, "exposing-constants-to-ocaml-libraries"]], "Inlining hints for the fast reduction machines": [[59, "inlining-hints-for-the-fast-reduction-machines"]], "Registering primitive operations": [[59, "registering-primitive-operations"]], "Programmable proof search": [[60, "programmable-proof-search"]], "Example: Ackermann function": [[60, null]], "Example: MacCarthy function": [[60, null]], "Hint databases": [[60, "hint-databases"]], "Creating hint databases": [[60, "creating-hint-databases"]], "Hint databases defined in the Rocq standard library": [[60, "hint-databases-defined-in-the-rocq-standard-library"]], "Creating Hints": [[60, "creating-hints"]], "Example: Logic programming with addition on natural numbers": [[60, null]], "Hint locality": [[60, "hint-locality"]], "Setting implicit automation tactics": [[60, "setting-implicit-automation-tactics"]], "Automatic solvers and programmable tactics": [[61, "automatic-solvers-and-programmable-tactics"]], "Solvers for logic and equality": [[62, "solvers-for-logic-and-equality"]], "Creating new tactics": [[63, "creating-new-tactics"]], "Reasoning with equalities": [[64, "reasoning-with-equalities"]], "Tactics for simple equalities": [[64, "tactics-for-simple-equalities"]], "Rewriting with Leibniz and setoid equality": [[64, "rewriting-with-leibniz-and-setoid-equality"]], "Rewriting with definitional equality": [[64, "rewriting-with-definitional-equality"]], "Applying conversion rules": [[64, "applying-conversion-rules"]], "Example: fold doesn't always undo unfold": [[64, null]], "Example: Use fold to reverse unfolding of fold_right": [[64, null]], "Fast reduction tactics: vm_compute and native_compute": [[64, "fast-reduction-tactics-vm-compute-and-native-compute"]], "Computing in a term: eval and Eval": [[64, "computing-in-a-term-eval-and-eval"]], "Controlling reduction strategies and the conversion algorithm": [[64, "controlling-reduction-strategies-and-the-conversion-algorithm"]], "Basic proof writing": [[65, "basic-proof-writing"]], "Proof mode": [[66, "proof-mode"]], "Proof State": [[66, "proof-state"]], "Entering and exiting proof mode": [[66, "entering-and-exiting-proof-mode"]], "Example: Declaring section variables": [[66, null]], "Proof using options": [[66, "proof-using-options"]], "Name a set of section hypotheses for Proof using": [[66, "name-a-set-of-section-hypotheses-for-proof-using"]], "Proof modes": [[66, "proof-modes"]], "Managing goals": [[66, "managing-goals"]], "Focusing goals": [[66, "focusing-goals"]], "Curly braces": [[66, "curly-braces"]], "Example: Working with named goals": [[66, null]], "Bullets": [[66, "bullets"]], "Example: Use of bullets": [[66, null]], "Other focusing commands": [[66, "other-focusing-commands"]], "Shelving goals": [[66, "shelving-goals"]], "Example: shelve_unifiable": [[66, null]], "Reordering goals": [[66, "reordering-goals"]], "Example: cycle": [[66, null]], "Example: swap": [[66, null]], "Example: revgoals": [[66, null]], "Proving a subgoal as a separate lemma: abstract": [[66, "proving-a-subgoal-as-a-separate-lemma-abstract"]], "Requesting information": [[66, "requesting-information"]], "Showing differences between proof steps": [[66, "showing-differences-between-proof-steps"]], "How to enable diffs": [[66, "how-to-enable-diffs"]], "How diffs are calculated": [[66, "how-diffs-are-calculated"]], "\"Show Proof\" differences": [[66, "show-proof-differences"]], "Delaying solving unification constraints": [[66, "delaying-solving-unification-constraints"]], "Proof maintenance": [[66, "proof-maintenance"]], "Controlling proof mode": [[66, "controlling-proof-mode"]], "Controlling memory usage": [[66, "controlling-memory-usage"]], "Reasoning with inductive types": [[67, "reasoning-with-inductive-types"]], "Applying constructors": [[67, "applying-constructors"]], "Example: constructor, left and right": [[67, null]], "Case analysis": [[67, "case-analysis"]], "Example: Using destruct on an argument with premises": [[67, "example-destruct-ind-concl"]], "Induction": [[67, "induction"]], "Example: induction with occurrences": [[67, null]], "Equality of inductive types": [[67, "equality-of-inductive-types"]], "Example: Proving 1 <> 2": [[67, null]], "Example: discriminate limitation: proving n <> S n": [[67, null]], "Example: inversion with as or_and_intropattern": [[67, null]], "Example: Non-dependent inversion": [[67, null]], "Example: Dependent inversion": [[67, null]], "Example: Using inversion_sigma": [[67, null]], "Helper tactics": [[67, "helper-tactics"]], "Example: Using decide to rewrite the goal": [[67, null]], "Generation of induction principles with Scheme": [[67, "generation-of-induction-principles-with-scheme"]], "Example: Induction scheme for tree and forest": [[67, null]], "Example: Predicates odd and even on naturals": [[67, null]], "Example: Scheme commands with various scheme_types": [[67, null]], "Automatic declaration of schemes": [[67, "automatic-declaration-of-schemes"]], "Combined Scheme": [[67, "combined-scheme"]], "Generation of inversion principles with Derive Inversion": [[67, "generation-of-inversion-principles-with-derive-inversion"]], "Examples of dependent destruction / dependent induction": [[67, "examples-of-dependent-destruction-dependent-induction"]], "A larger example": [[67, "a-larger-example"]], "Glossary index": [[69, "glossary-index"]], "Syntax extensions and notation scopes": [[71, "syntax-extensions-and-notation-scopes"]], "Basic notations": [[71, "basic-notations"]], "Precedences and associativity": [[71, "precedences-and-associativity"]], "Complex notations": [[71, "complex-notations"]], "Simple factorization rules": [[71, "simple-factorization-rules"]], "Use of notations for printing": [[71, "use-of-notations-for-printing"]], "The Infix command": [[71, "the-infix-command"]], "Reserving notations": [[71, "reserving-notations"]], "Simultaneous definition of terms and notations": [[71, "simultaneous-definition-of-terms-and-notations"]], "Enabling and disabling notations": [[71, "enabling-and-disabling-notations"]], "Example: Enabling and disabling notations": [[71, null]], "Displaying information about notations": [[71, "displaying-information-about-notations"]], "Example: Print Notation": [[71, null]], "Locating notations": [[71, "locating-notations"]], "Inheritance of the properties of arguments of constants bound to a notation": [[71, "inheritance-of-the-properties-of-arguments-of-constants-bound-to-a-notation"]], "Notations and binders": [[71, "notations-and-binders"]], "Binders bound in the notation and parsed as identifiers": [[71, "binders-bound-in-the-notation-and-parsed-as-identifiers"]], "Binders bound in the notation and parsed as patterns": [[71, "binders-bound-in-the-notation-and-parsed-as-patterns"]], "Binders bound in the notation and parsed as terms": [[71, "binders-bound-in-the-notation-and-parsed-as-terms"]], "Binders bound in the notation and parsed as general binders": [[71, "binders-bound-in-the-notation-and-parsed-as-general-binders"]], "Binders not bound in the notation": [[71, "binders-not-bound-in-the-notation"]], "Notations with expressions used both as binder and term": [[71, "notations-with-expressions-used-both-as-binder-and-term"]], "Notations with recursive patterns": [[71, "notations-with-recursive-patterns"]], "Notations with recursive patterns involving binders": [[71, "notations-with-recursive-patterns-involving-binders"]], "Predefined entries": [[71, "predefined-entries"]], "Custom entries": [[71, "custom-entries"]], "Notation scopes": [[71, "notation-scopes"]], "Global interpretation rules for notations": [[71, "global-interpretation-rules-for-notations"]], "Local interpretation rules for notations": [[71, "local-interpretation-rules-for-notations"]], "Opening a notation scope locally": [[71, "opening-a-notation-scope-locally"]], "Binding types or coercion classes to notation scopes": [[71, "binding-types-or-coercion-classes-to-notation-scopes"]], "Example: Binding scopes to a type": [[71, null]], "The type_scope notation scope": [[71, "the-type-scope-notation-scope"]], "The function_scope notation scope": [[71, "the-function-scope-notation-scope"]], "Notation scopes used in the standard library of Rocq": [[71, "notation-scopes-used-in-the-standard-library-of-rocq"]], "Displaying information about scopes": [[71, "displaying-information-about-scopes"]], "Numbers and strings": [[71, "numbers-and-strings"]], "Number notations": [[71, "number-notations"]], "String notations": [[71, "string-notations"]], "Example: Number Notation for radix 3": [[71, null]], "Example: Number Notation for primitive integers": [[71, "example-number-notation-primitive-int"]], "Example: Number Notation for a non-inductive type": [[71, "example-number-notation-non-inductive"]], "Example: Number Notation with implicit arguments": [[71, "example-number-notation-implicit-args"]], "Example: String Notation with a parameterized inductive type": [[71, "example-string-notation-parameterized-inductive"]], "Tactic Notations": [[71, "tactic-notations"]], "Functional induction": [[72, "functional-induction"]], "Advanced recursive functions": [[72, "advanced-recursive-functions"]], "Generation of induction principles with Functional Scheme": [[72, "generation-of-induction-principles-with-functional-scheme"]], "Libraries and plugins": [[73, "libraries-and-plugins"]], "Writing Rocq libraries and plugins": [[74, "writing-rocq-libraries-and-plugins"]], "Deprecating library objects, tactics or library files": [[74, "deprecating-library-objects-tactics-or-library-files"]], "Triggering warning for library objects or library files": [[74, "triggering-warning-for-library-objects-or-library-files"]], "Example: Deprecating a tactic.": [[74, null]], "Example: Introducing a compatibility alias": [[74, "compatibility-alias"]], "Documenting Rocq files with coqdoc": [[75, "documenting-rocq-files-with-coqdoc"]], "Principles": [[75, "principles"]], "Rocq material inside documentation.": [[75, "rocq-material-inside-documentation"]], "Pretty-printing.": [[75, "pretty-printing"]], "Lists.": [[75, "lists"]], "Rules.": [[75, "rules"]], "Emphasis.": [[75, "emphasis"]], "Escaping to LaTeX and HTML.": [[75, "escaping-to-latex-and-html"]], "Verbatim": [[75, "verbatim"]], "Hyperlinks": [[75, "hyperlinks"]], "Hiding / Showing parts of the source": [[75, "hiding-showing-parts-of-the-source"]], "The coqdoc LaTeX style file": [[75, "the-coqdoc-latex-style-file"]], "Command-line and graphical tools": [[76, "command-line-and-graphical-tools"]], "Bibliography": [[77, "bibliography"]]}, "indexentries": {"cd (command)": [[2, "coq:cmd.Cd"]], "extract callback (command)": [[2, "coq:cmd.Extract-Callback"]], "extract callback is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction"]], "extract constant (command)": [[2, "coq:cmd.Extract-Constant"]], "extract foreign constant (command)": [[2, "coq:cmd.Extract-Foreign-Constant"]], "extract foreign constant is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction"]], "extract foreign constant is supported only for functions (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions"]], "extract inductive (command)": [[2, "coq:cmd.Extract-Inductive"]], "extract inlined constant (command)": [[2, "coq:cmd.Extract-Inlined-Constant"]], "extraction (command)": [[2, "coq:cmd.Extraction"]], "extraction autoinline (flag)": [[2, "coq:flag.Extraction-AutoInline"]], "extraction blacklist (command)": [[2, "coq:cmd.Extraction-Blacklist"]], "extraction conservative types (flag)": [[2, "coq:flag.Extraction-Conservative-Types"]], "extraction file comment (option)": [[2, "coq:opt.Extraction-File-Comment"]], "extraction flag (option)": [[2, "coq:opt.Extraction-Flag"]], "extraction implicit (command)": [[2, "coq:cmd.Extraction-Implicit"]], "extraction inline (command)": [[2, "coq:cmd.Extraction-Inline"]], "extraction keepsingleton (flag)": [[2, "coq:flag.Extraction-KeepSingleton"]], "extraction language (command)": [[2, "coq:cmd.Extraction-Language"]], "extraction library (command)": [[2, "coq:cmd.Extraction-Library"]], "extraction noinline (command)": [[2, "coq:cmd.Extraction-NoInline"]], "extraction optimize (flag)": [[2, "coq:flag.Extraction-Optimize"]], "extraction output directory (option)": [[2, "coq:opt.Extraction-Output-Directory"]], "extraction safeimplicits (flag)": [[2, "coq:flag.Extraction-SafeImplicits"]], "extraction testcompile (command)": [[2, "coq:cmd.Extraction-TestCompile"]], "extraction typeexpand (flag)": [[2, "coq:flag.Extraction-TypeExpand"]], "print extraction blacklist (command)": [[2, "coq:cmd.Print-Extraction-Blacklist"]], "print extraction callback (command)": [[2, "coq:cmd.Print-Extraction-Callback"]], "print extraction foreign (command)": [[2, "coq:cmd.Print-Extraction-Foreign"]], "print extraction inline (command)": [[2, "coq:cmd.Print-Extraction-Inline"]], "pwd (command)": [[2, "coq:cmd.Pwd"]], "recursive extraction (command)": [[2, "coq:cmd.Recursive-Extraction"]], "recursive extraction library (command)": [[2, "coq:cmd.Recursive-Extraction-Library"]], "reset extraction blacklist (command)": [[2, "coq:cmd.Reset-Extraction-Blacklist"]], "reset extraction callback (command)": [[2, "coq:cmd.Reset-Extraction-Callback"]], "reset extraction inline (command)": [[2, "coq:cmd.Reset-Extraction-Inline"]], "separate extraction (command)": [[2, "coq:cmd.Separate-Extraction"]], "show extraction (command)": [[2, "coq:cmd.Show-Extraction"]], "the term \u2018qualid\u2019 is already defined as foreign custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant"]], "the term \u2018qualid\u2019 is already defined as inline custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant"]], "add morphism (command)": [[3, "coq:cmd.Add-Morphism"]], "add parametric morphism (command)": [[3, "coq:cmd.Add-Parametric-Morphism"]], "add parametric relation (command)": [[3, "coq:cmd.Add-Parametric-Relation"]], "add parametric setoid (command)": [[3, "coq:cmd.Add-Parametric-Setoid"]], "add relation (command)": [[3, "coq:cmd.Add-Relation"]], "add setoid (command)": [[3, "coq:cmd.Add-Setoid"]], "declare morphism (command)": [[3, "coq:cmd.Declare-Morphism"]], "no progress made (error)": [[3, "coq:exn.No-progress-made"]], "nothing to rewrite (error)": [[3, "coq:exn.Nothing-to-rewrite"]], "unable to satisfy the rewriting constraints (error)": [[3, "coq:exn.Unable-to-satisfy-the-rewriting-constraints"]], "head_of_constr (tactic)": [[3, "coq:tacn.head_of_constr"]], "rewrite_db (tactic)": [[3, "coq:tacn.rewrite_db"]], "rewrite_strat (tactic)": [[3, "coq:tacn.rewrite_strat"]], "setoid_etransitivity (tactic)": [[3, "coq:tacn.setoid_etransitivity"]], "setoid_reflexivity (tactic)": [[3, "coq:tacn.setoid_reflexivity"]], "setoid_replace (tactic)": [[3, "coq:tacn.setoid_replace"]], "setoid_rewrite (tactic)": [[3, "coq:tacn.setoid_rewrite"]], "setoid_symmetry (tactic)": [[3, "coq:tacn.setoid_symmetry"]], "setoid_transitivity (tactic)": [[3, "coq:tacn.setoid_transitivity"]], "... is not definitionally an identity function (warning)": [[4, "coq:warn....-is-not-definitionally-an-identity-function"]], ":> (coercion)": [[4, "index-0"]], "cannot find the source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019"]], "cannot find the target class (error)": [[4, "coq:exn.Cannot-find-the-target-class"]], "cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019"]], "coercion (command)": [[4, "coq:cmd.Coercion"]], "found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019 (error)": [[4, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019"]], "funclass cannot be a source class (error)": [[4, "coq:exn.Funclass-cannot-be-a-source-class"]], "identity coercion (command)": [[4, "coq:cmd.Identity-Coercion"]], "new coercion path ... is ambiguous with existing ... (warning)": [[4, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-..."]], "print classes (command)": [[4, "coq:cmd.Print-Classes"]], "print coercion paths (command)": [[4, "coq:cmd.Print-Coercion-Paths"]], "print coercions (command)": [[4, "coq:cmd.Print-Coercions"]], "print graph (command)": [[4, "coq:cmd.Print-Graph"]], "printing coercion (table)": [[4, "coq:table.Printing-Coercion"]], "printing coercions (flag)": [[4, "coq:flag.Printing-Coercions"]], "subclass (command)": [[4, "coq:cmd.SubClass"]], "nonuniform (attribute)": [[4, "coq:attr.nonuniform"]], "reversible (attribute)": [[4, "coq:attr.reversible"]], "\u2018coercion_class\u2019 must be a transparent constant (error)": [[4, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant"]], "\u2018qualid\u2019 does not respect the uniform inheritance condition (warning)": [[4, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition"]], "\u2018qualid\u2019 is already a coercion (error)": [[4, "coq:exn.\u2018qualid\u2019-is-already-a-coercion"]], "\u2018qualid\u2019 is not a function (error)": [[4, "coq:exn.\u2018qualid\u2019-is-not-a-function"]], "\u2018qualid\u2019 not declared (error)": [[4, "coq:exn.\u2018qualid\u2019-not-declared"]], "add zify (command)": [[5, "coq:cmd.Add-Zify"]], "bound on the ceiling function (theorem)": [[5, "coq:thm.Bound-on-the-ceiling-function"]], "case split (theorem)": [[5, "coq:thm.Case-split"]], "dump arith (option)": [[5, "coq:opt.Dump-Arith"]], "info micromega (flag)": [[5, "coq:flag.Info-Micromega"]], "lia cache (flag)": [[5, "coq:flag.Lia-Cache"]], "nia cache (flag)": [[5, "coq:flag.Nia-Cache"]], "nra cache (flag)": [[5, "coq:flag.Nra-Cache"]], "psatz (theorem)": [[5, "coq:thm.Psatz"]], "show lia profile (command)": [[5, "coq:cmd.Show-Lia-Profile"]], "show zify (command)": [[5, "coq:cmd.Show-Zify"]], "lia (tactic)": [[5, "coq:tacn.lia"]], "lra (tactic)": [[5, "coq:tacn.lra"]], "nia (tactic)": [[5, "coq:tacn.nia"]], "nra (tactic)": [[5, "coq:tacn.nra"]], "psatz (tactic)": [[5, "coq:tacn.psatz"]], "wlia (tactic)": [[5, "coq:tacn.wlia"]], "wlra_q (tactic)": [[5, "coq:tacn.wlra_Q"]], "wnia (tactic)": [[5, "coq:tacn.wnia"]], "wnra_q (tactic)": [[5, "coq:tacn.wnra_Q"]], "wpsatz_q (tactic)": [[5, "coq:tacn.wpsatz_Q"]], "wpsatz_z (tactic)": [[5, "coq:tacn.wpsatz_Z"]], "wsos_q (tactic)": [[5, "coq:tacn.wsos_Q"]], "wsos_z (tactic)": [[5, "coq:tacn.wsos_Z"]], "xlia (tactic)": [[5, "coq:tacn.xlia"]], "xlra_q (tactic)": [[5, "coq:tacn.xlra_Q"]], "xlra_r (tactic)": [[5, "coq:tacn.xlra_R"]], "xnia (tactic)": [[5, "coq:tacn.xnia"]], "xnra_q (tactic)": [[5, "coq:tacn.xnra_Q"]], "xnra_r (tactic)": [[5, "coq:tacn.xnra_R"]], "xpsatz_q (tactic)": [[5, "coq:tacn.xpsatz_Q"]], "xpsatz_r (tactic)": [[5, "coq:tacn.xpsatz_R"]], "xpsatz_z (tactic)": [[5, "coq:tacn.xpsatz_Z"]], "xsos_q (tactic)": [[5, "coq:tacn.xsos_Q"]], "xsos_r (tactic)": [[5, "coq:tacn.xsos_R"]], "xsos_z (tactic)": [[5, "coq:tacn.xsos_Z"]], "zify (tactic)": [[5, "coq:tacn.zify"]], "zify_elim_let (tactic)": [[5, "coq:tacn.zify_elim_let"]], "zify_iter_let (tactic)": [[5, "coq:tacn.zify_iter_let"]], "zify_iter_specs (tactic)": [[5, "coq:tacn.zify_iter_specs"]], "zify_op (tactic)": [[5, "coq:tacn.zify_op"]], "zify_saturate (tactic)": [[5, "coq:tacn.zify_saturate"]], "derive (command)": [[6, "coq:cmd.Derive"]], "nsatz (tactic)": [[7, "coq:tacn.nsatz"]], "nsatz_compute (tactic)": [[7, "coq:tacn.nsatz_compute"]], "admit obligations (command)": [[9, "coq:cmd.Admit-Obligations"]], "final obligation (command)": [[9, "coq:cmd.Final-Obligation"]], "ill-formed recursive definition (error)": [[9, "coq:exn.Ill-formed-recursive-definition"]], "next obligation (command)": [[9, "coq:cmd.Next-Obligation"]], "non extensible universe declaration not supported with monomorphic program definition (error)": [[9, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition"]], "obligation (command)": [[9, "coq:cmd.Obligation"]], "obligation tactic (command)": [[9, "coq:cmd.Obligation-Tactic"]], "obligations (command)": [[9, "coq:cmd.Obligations"]], "preterm (command)": [[9, "coq:cmd.Preterm"]], "program (attribute)": [[9, "coq:attr.Program"], [9, "coq:attr.program"]], "program cases (flag)": [[9, "coq:flag.Program-Cases"]], "program generalized coercion (flag)": [[9, "coq:flag.Program-Generalized-Coercion"]], "program mode (flag)": [[9, "coq:flag.Program-Mode"]], "show obligation tactic (command)": [[9, "coq:cmd.Show-Obligation-Tactic"]], "solve all obligations (command)": [[9, "coq:cmd.Solve-All-Obligations"]], "solve obligations (command)": [[9, "coq:cmd.Solve-Obligations"]], "transparent obligations (flag)": [[9, "coq:flag.Transparent-Obligations"]], "rewrite rule (command)": [[10, "coq:cmd.Rewrite-Rule"]], "rewrite rules (command)": [[10, "coq:cmd.Rewrite-Rules"]], "rewrite rule declaration requires passing the flag \"-allow-rewrite-rules\" (error)": [[10, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\""]], "symbol (command)": [[10, "coq:cmd.Symbol"]], "symbols (command)": [[10, "coq:cmd.Symbols"]], "add field (command)": [[11, "coq:cmd.Add-Field"]], "add ring (command)": [[11, "coq:cmd.Add-Ring"]], "arguments of ring_simplify do not have all the same type (error)": [[11, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type"]], "bad lemma for decidability of equality (error)": [[11, "coq:exn.Bad-lemma-for-decidability-of-equality"]], "bad ring structure (error)": [[11, "coq:exn.Bad-ring-structure"]], "cannot find a declared ring structure for equality \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019"]], "cannot find a declared ring structure over \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019"]], "not a valid ring equation (error)": [[11, "coq:exn.Not-a-valid-ring-equation"]], "print fields (command)": [[11, "coq:cmd.Print-Fields"]], "print rings (command)": [[11, "coq:cmd.Print-Rings"]], "ring operation should be declared as a morphism (error)": [[11, "coq:exn.Ring-operation-should-be-declared-as-a-morphism"]], "field (tactic)": [[11, "coq:tacn.field"]], "field_lookup (tactic)": [[11, "coq:tacn.field_lookup"]], "field_simplify (tactic)": [[11, "coq:tacn.field_simplify"]], "field_simplify_eq (tactic)": [[11, "coq:tacn.field_simplify_eq"]], "protect_fv (tactic)": [[11, "coq:tacn.protect_fv"]], "ring (tactic)": [[11, "coq:tacn.ring"]], "ring_lookup (tactic)": [[11, "coq:tacn.ring_lookup"]], "ring_simplify (tactic)": [[11, "coq:tacn.ring_simplify"]], "allow strictprop (flag)": [[12, "coq:flag.Allow-StrictProp"]], "bad relevance (warning)": [[12, "coq:warn.Bad-relevance"]], "definitional uip (flag)": [[12, "coq:flag.Definitional-UIP"]], "printing relevance marks (flag)": [[12, "coq:flag.Printing-Relevance-Marks"]], "sprop is disallowed because the \"allow strictprop\" flag is off (error)": [[12, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off"]], ":: (substructure)": [[13, "index-0"]], "class (command)": [[13, "coq:cmd.Class"]], "declare instance (command)": [[13, "coq:cmd.Declare-Instance"]], "existing class (command)": [[13, "coq:cmd.Existing-Class"]], "existing instance (command)": [[13, "coq:cmd.Existing-Instance"]], "existing instances (command)": [[13, "coq:cmd.Existing-Instances"]], "ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class (warning)": [[13, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class"]], "instance (command)": [[13, "coq:cmd.Instance"]], "print instances (command)": [[13, "coq:cmd.Print-Instances"]], "print typeclasses (command)": [[13, "coq:cmd.Print-Typeclasses"]], "typeclass resolution for conversion (flag)": [[13, "coq:flag.Typeclass-Resolution-For-Conversion"]], "typeclasses debug (flag)": [[13, "coq:flag.Typeclasses-Debug"]], "typeclasses debug verbosity (option)": [[13, "coq:opt.Typeclasses-Debug-Verbosity"]], "typeclasses default mode (option)": [[13, "coq:opt.Typeclasses-Default-Mode"]], "typeclasses dependency order (flag)": [[13, "coq:flag.Typeclasses-Dependency-Order"]], "typeclasses depth (option)": [[13, "coq:opt.Typeclasses-Depth"]], "typeclasses iterative deepening (flag)": [[13, "coq:flag.Typeclasses-Iterative-Deepening"]], "typeclasses limit intros (flag)": [[13, "coq:flag.Typeclasses-Limit-Intros"]], "typeclasses opaque (command)": [[13, "coq:cmd.Typeclasses-Opaque"]], "typeclasses strict resolution (flag)": [[13, "coq:flag.Typeclasses-Strict-Resolution"]], "typeclasses transparent (command)": [[13, "coq:cmd.Typeclasses-Transparent"]], "typeclasses unique instances (flag)": [[13, "coq:flag.Typeclasses-Unique-Instances"]], "typeclasses unique solutions (flag)": [[13, "coq:flag.Typeclasses-Unique-Solutions"]], "typeclasses eauto (command)": [[13, "coq:cmd.Typeclasses-eauto"]], "using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d (warning)": [[13, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d"]], "autoapply (tactic)": [[13, "coq:tacn.autoapply"]], "mode (attribute)": [[13, "coq:attr.mode"]], "refine (attribute)": [[13, "coq:attr.refine"]], "typeclasses eauto (tactic)": [[13, "coq:tacn.typeclasses-eauto"]], "\u2018ident\u2019 is already declared as a typeclass (warning)": [[13, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass"]], "constraint (command)": [[14, "coq:cmd.Constraint"]], "cumulative (attribute)": [[14, "coq:attr.Cumulative"]], "cumulativity weak constraints (flag)": [[14, "coq:flag.Cumulativity-Weak-Constraints"]], "monomorphic (attribute)": [[14, "coq:attr.Monomorphic"]], "noncumulative (attribute)": [[14, "coq:attr.NonCumulative"]], "polymorphic (attribute)": [[14, "coq:attr.Polymorphic"]], "polymorphic inductive cumulativity (flag)": [[14, "coq:flag.Polymorphic-Inductive-Cumulativity"]], "polymorphic universe constraints can only be declared inside sections, use monomorphic constraint instead (error)": [[14, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead"]], "polymorphic universes can only be declared inside sections, use monomorphic universe instead (error)": [[14, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead"]], "print universes (command)": [[14, "coq:cmd.Print-Universes"]], "printing universes (flag)": [[14, "coq:flag.Printing-Universes"]], "private polymorphic universes (flag)": [[14, "coq:flag.Private-Polymorphic-Universes"]], "strict universe declaration (flag)": [[14, "coq:flag.Strict-Universe-Declaration"]], "the cumulative attribute can only be used in a polymorphic context (error)": [[14, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context"]], "undeclared universe \u2018ident\u2019 (error)": [[14, "coq:exn.Undeclared-universe-\u2018ident\u2019"]], "universe (command)": [[14, "coq:cmd.Universe"]], "universe minimization toset (flag)": [[14, "coq:flag.Universe-Minimization-ToSet"]], "universe polymorphism (flag)": [[14, "coq:flag.Universe-Polymorphism"]], "universe inconsistency (error)": [[14, "coq:exn.Universe-inconsistency"]], "universes (command)": [[14, "coq:cmd.Universes"]], "universes(cumulative) (attribute)": [[14, "coq:attr.universes(cumulative)"]], "universes(polymorphic) (attribute)": [[14, "coq:attr.universes(polymorphic)"]], "* (term)": [[27, "index-9"]], "+ (term)": [[27, "index-9"]], "a*b (term)": [[27, "index-9"]], "a+b (term)": [[27, "index-9"]], "a+{b} (term)": [[27, "index-13"]], "acc (term)": [[27, "index-20"]], "acc_inv (term)": [[27, "index-20"]], "acc_rect (term)": [[27, "index-20"]], "choice (term)": [[27, "index-14"]], "choice2 (term)": [[27, "index-14"]], "connectives": [[27, "index-1"]], "datatypes": [[27, "index-7"]], "equality": [[27, "index-4"]], "exc (term)": [[27, "index-15"]], "false (term)": [[27, "index-1"], [27, "index-8"]], "false_rec (term)": [[27, "index-16"]], "false_rect (term)": [[27, "index-16"]], "fix_f (term)": [[27, "index-21"]], "fix_f_eq (term)": [[27, "index-21"]], "fix_f_inv (term)": [[27, "index-21"]], "fix_eq (term)": [[27, "index-21"]], "i (term)": [[27, "index-1"]], "issucc (term)": [[27, "index-17"]], "none (term)": [[27, "index-8"]], "o (term)": [[27, "index-8"]], "o_s (term)": [[27, "index-17"]], "programming": [[27, "index-8"]], "quantifiers": [[27, "index-3"]], "recursion": [[27, "index-20"]], "s (term)": [[27, "index-8"]], "some (term)": [[27, "index-8"]], "theories": [[27, "index-0"]], "true (term)": [[27, "index-1"], [27, "index-8"]], "well founded induction": [[27, "index-20"]], "well foundedness": [[27, "index-20"]], "absurd (term)": [[27, "index-5"]], "absurd_set (term)": [[27, "index-16"]], "all (term)": [[27, "index-3"]], "and (term)": [[27, "index-1"]], "and_rect (term)": [[27, "index-16"]], "bool (term)": [[27, "index-8"]], "bool_choice (term)": [[27, "index-14"]], "conj (term)": [[27, "index-1"]], "eq (term)": [[27, "index-4"]], "eq_s (term)": [[27, "index-17"]], "eq_add_s (term)": [[27, "index-17"]], "eq_ind_r (term)": [[27, "index-5"]], "eq_rec_r (term)": [[27, "index-5"]], "eq_rect (term)": [[27, "index-16"], [27, "index-5"]], "eq_rect_r (term)": [[27, "index-5"]], "eq_refl (term)": [[27, "index-4"]], "eq_sym (term)": [[27, "index-5"]], "eq_trans (term)": [[27, "index-5"]], "error (term)": [[27, "index-15"]], "ex (term)": [[27, "index-3"]], "ex2 (term)": [[27, "index-3"]], "ex_intro (term)": [[27, "index-3"]], "ex_intro2 (term)": [[27, "index-3"]], "exist (term)": [[27, "index-10"]], "exist2 (term)": [[27, "index-10"]], "existt (term)": [[27, "index-11"]], "existt2 (term)": [[27, "index-11"]], "exists (term)": [[27, "index-3"]], "exists2 (term)": [[27, "index-3"]], "f_equal (term)": [[27, "index-5"]], "f_equal2 ... f_equal5 (term)": [[27, "index-6"]], "fst (term)": [[27, "index-9"]], "ge (term)": [[27, "index-18"]], "gt (term)": [[27, "index-18"]], "identity (term)": [[27, "index-8"]], "iff (term)": [[27, "index-1"]], "inl (term)": [[27, "index-9"]], "inleft (term)": [[27, "index-13"]], "inr (term)": [[27, "index-9"]], "inright (term)": [[27, "index-13"]], "le (term)": [[27, "index-18"]], "le_s (term)": [[27, "index-18"]], "le_n (term)": [[27, "index-18"]], "left (term)": [[27, "index-12"]], "lt (term)": [[27, "index-18"]], "mult (term)": [[27, "index-17"]], "mult_n_o (term)": [[27, "index-17"]], "mult_n_sm (term)": [[27, "index-17"]], "n_sn (term)": [[27, "index-17"]], "nat (term)": [[27, "index-8"]], "nat_case (term)": [[27, "index-19"]], "nat_double_ind (term)": [[27, "index-19"]], "not (term)": [[27, "index-1"]], "nott (term)": [[27, "index-2"]], "not_eq_s (term)": [[27, "index-17"]], "option (term)": [[27, "index-8"]], "or (term)": [[27, "index-1"]], "or_introl (term)": [[27, "index-1"]], "or_intror (term)": [[27, "index-1"]], "pair (term)": [[27, "index-9"]], "plus (term)": [[27, "index-17"]], "plus_n_o (term)": [[27, "index-17"]], "plus_n_sm (term)": [[27, "index-17"]], "pred (term)": [[27, "index-17"]], "pred_sn (term)": [[27, "index-17"]], "prod (term)": [[27, "index-9"]], "proj1 (term)": [[27, "index-1"]], "proj2 (term)": [[27, "index-1"]], "projt1 (term)": [[27, "index-11"]], "projt2 (term)": [[27, "index-11"]], "refl_identity (term)": [[27, "index-8"]], "right (term)": [[27, "index-12"]], "sig (term)": [[27, "index-10"]], "sig2 (term)": [[27, "index-10"]], "sigt (term)": [[27, "index-11"]], "sigt2 (term)": [[27, "index-11"]], "snd (term)": [[27, "index-9"]], "sum (term)": [[27, "index-9"]], "sumbool (term)": [[27, "index-12"]], "sumor (term)": [[27, "index-13"]], "sym_not_eq (term)": [[27, "index-5"]], "tt (term)": [[27, "index-8"]], "unit (term)": [[27, "index-8"]], "value (term)": [[27, "index-15"]], "well_founded (term)": [[27, "index-20"]], "{a}+{b} (term)": [[27, "index-12"]], "{x:a & p x} (term)": [[27, "index-11"]], "{x:a | p x} (term)": [[27, "index-10"]], "axiom (command)": [[28, "coq:cmd.Axiom"]], "axioms (command)": [[28, "coq:cmd.Axioms"]], "conjecture (command)": [[28, "coq:cmd.Conjecture"]], "conjectures (command)": [[28, "coq:cmd.Conjectures"]], "hypotheses (command)": [[28, "coq:cmd.Hypotheses"]], "hypothesis (command)": [[28, "coq:cmd.Hypothesis"]], "parameter (command)": [[28, "coq:cmd.Parameter"]], "parameters (command)": [[28, "coq:cmd.Parameters"]], "use of \"variable\" or \"hypothesis\" outside sections behaves as \"#[local] parameter\" or \"#[local] axiom\" (warning)": [[28, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\""]], "variable (command)": [[28, "coq:cmd.Variable"]], "variables (command)": [[28, "coq:cmd.Variables"]], "forall": [[28, "index-1"]], "fun": [[28, "index-0"]], "\u2018ident\u2019 already exists. (axiom) (error)": [[28, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)"]], "add (command)": [[29, "coq:cmd.Add"]], "attributes (command)": [[29, "coq:cmd.Attributes"]], "comments (command)": [[29, "coq:cmd.Comments"]], "print options (command)": [[29, "coq:cmd.Print-Options"]], "print table (command)": [[29, "coq:cmd.Print-Table"]], "print tables (command)": [[29, "coq:cmd.Print-Tables"]], "remove (command)": [[29, "coq:cmd.Remove"]], "set (command)": [[29, "coq:cmd.Set"]], "test (command)": [[29, "coq:cmd.Test"]], "there is no flag or option with this name: \"\u2018setting_name\u2019\" (warning)": [[29, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no flag, option or table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no qualid-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no string-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "this command does not support this attribute (warning)": [[29, "coq:warn.This-command-does-not-support-this-attribute"]], "unset (command)": [[29, "coq:cmd.Unset"]], "command": [[29, "term-command"]], "sentence": [[29, "term-sentence"]], "tactic": [[29, "term-tactic"]], "term": [[29, "term-term"]], "type": [[29, "term-type"], [39, "index-0"]], "warning (attribute)": [[29, "coq:attr.warning"]], "warnings (attribute)": [[29, "coq:attr.warnings"]], "cofixpoint (command)": [[30, "coq:cmd.CoFixpoint"]], "coinductive (command)": [[30, "coq:cmd.CoInductive"]], "cofix": [[30, "index-0"]], "... : ... (type cast)": [[32, "index-1"]], "... :> ... (volatile type cast)": [[32, "index-1"]], "... <: ... (vm type cast)": [[32, "index-1"]], "... <<: ... (native compute type cast)": [[32, "index-1"]], "corollary (command)": [[32, "coq:cmd.Corollary"]], "definition (command)": [[32, "coq:cmd.Definition"]], "example (command)": [[32, "coq:cmd.Example"]], "fact (command)": [[32, "coq:cmd.Fact"]], "lemma (command)": [[32, "coq:cmd.Lemma"]], "nested proofs are discouraged and not allowed by default. this error probably means that you forgot to close the last \"proof.\" with \"qed.\" or \"defined.\". if you really intended to use nested proofs, you can do so by turning the \"nested proofs allowed\" flag on (error)": [[32, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on"]], "property (command)": [[32, "coq:cmd.Property"]], "proposition (command)": [[32, "coq:cmd.Proposition"]], "remark (command)": [[32, "coq:cmd.Remark"]], "the term \u2018term\u2019 has type \u2018type\u2019 which should be set, prop or type (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type"]], "the term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019' (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'"]], "theorem (command)": [[32, "coq:cmd.Theorem"]], "let ... := ... (term)": [[32, "index-0"]], "\u2018ident\u2019 already exists. (definition) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)"]], "\u2018ident\u2019 already exists. (theorem) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)"]], "auto template polymorphism (flag)": [[34, "coq:flag.Auto-Template-Polymorphism"]], "automatically declaring \u2018ident\u2019 as template polymorphic (warning)": [[34, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic"]], "dependent proposition eliminators (flag)": [[34, "coq:flag.Dependent-Proposition-Eliminators"]], "fixpoint (command)": [[34, "coq:cmd.Fixpoint"]], "ill-formed template inductive declaration: not polymorphic on any universe (error)": [[34, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe"]], "inductive (command)": [[34, "coq:cmd.Inductive"]], "non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019 (error)": [[34, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019"]], "the conclusion of \u2018type\u2019 is not valid": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "uniform inductive parameters (flag)": [[34, "coq:flag.Uniform-Inductive-Parameters"]], "fix": [[34, "index-0"]], "it must be built from \u2018ident\u2019 (error)": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "template and polymorphism not compatible (error)": [[34, "coq:exn.template-and-polymorphism-not-compatible"]], "universes(template) (attribute)": [[34, "coq:attr.universes(template)"]], "cannot import local constant, it will be ignored (warning)": [[35, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored"]], "declare module (command)": [[35, "coq:cmd.Declare-Module"]], "export (command)": [[35, "coq:cmd.Export"]], "import (command)": [[35, "coq:cmd.Import"]], "include (command)": [[35, "coq:cmd.Include"]], "include type (command)": [[35, "coq:cmd.Include-Type"]], "module (command)": [[35, "coq:cmd.Module"]], "module type (command)": [[35, "coq:cmd.Module-Type"]], "no field named \u2018ident\u2019 in \u2018qualid\u2019 (error)": [[35, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019"]], "print module (command)": [[35, "coq:cmd.Print-Module"]], "print module type (command)": [[35, "coq:cmd.Print-Module-Type"]], "print namespace (command)": [[35, "coq:cmd.Print-Namespace"]], "short module printing (flag)": [[35, "coq:flag.Short-Module-Printing"]], "signature components for field \u2018ident\u2019 do not match (error)": [[35, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match"]], "the field \u2018ident\u2019 is missing in \u2018qualid\u2019 (error)": [[35, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019"]], "trying to mask the absolute name \u2018qualid\u2019! (warning)": [[35, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!"]], "export (attribute)": [[35, "coq:attr.export"]], "global (attribute)": [[35, "coq:attr.global"]], "local (attribute)": [[35, "coq:attr.local"]], "\u2018qualid\u2019 is not a module (error)": [[35, "coq:exn.\u2018qualid\u2019-is-not-a-module"]], "primitive projections (flag)": [[37, "coq:flag.Primitive-Projections"]], "printing constructor (table)": [[37, "coq:table.Printing-Constructor"]], "printing primitive projection parameters (flag)": [[37, "coq:flag.Printing-Primitive-Projection-Parameters"]], "printing projections (flag)": [[37, "coq:flag.Printing-Projections"]], "printing record (table)": [[37, "coq:table.Printing-Record"]], "printing records (flag)": [[37, "coq:flag.Printing-Records"]], "printing unfolded projection as match (flag)": [[37, "coq:flag.Printing-Unfolded-Projection-As-Match"]], "record (command)": [[37, "coq:cmd.Record"]], "records declared with the keyword record or structure cannot be recursive (error)": [[37, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive"]], "structure (command)": [[37, "coq:cmd.Structure"]], "projections(primitive) (attribute)": [[37, "coq:attr.projections(primitive)"]], "\u2018ident\u2019 already exists (error)": [[37, "coq:exn.\u2018ident\u2019-already-exists"]], "\u2018ident\u2019 cannot be defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined"]], "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not"]], "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined"]], "context (command)": [[38, "coq:cmd.Context"]], "end (command)": [[38, "coq:cmd.End"]], "last block to end has name \u2018ident\u2019 (error)": [[38, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019"]], "let (command)": [[38, "coq:cmd.Let"]], "let cofixpoint (command)": [[38, "coq:cmd.Let-CoFixpoint"]], "let fixpoint (command)": [[38, "coq:cmd.Let-Fixpoint"]], "section (command)": [[38, "coq:cmd.Section"]], "there is nothing to end (error)": [[38, "coq:exn.There-is-nothing-to-end"]], "clearbody (attribute)": [[38, "coq:attr.clearbody"]], "prop": [[39, "index-0"]], "sprop": [[39, "index-0"]], "set (sort)": [[39, "index-0"]], "casts are not supported in this pattern (error)": [[40, "coq:exn.Casts-are-not-supported-in-this-pattern"]], "private (attribute)": [[40, "coq:attr.Private"]], "the \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019 (error)": [[40, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019"]], "variant (command)": [[40, "coq:cmd.Variant"]], "match ... with ...": [[40, "index-0"]], "private(matching) (attribute)": [[40, "coq:attr.private(matching)"]], "arguments (command)": [[41, "coq:cmd.Arguments"]], "arguments of section variables such as \u2018name\u2019 may not be renamed (error)": [[41, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed"]], "flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019 (error)": [[41, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019"]], "the & modifier may only occur once (error)": [[41, "coq:exn.The-&-modifier-may-only-occur-once"]], "the 'clear implicits' flag must be omitted if implicit annotations are given (error)": [[41, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given"]], "the 'default implicits' flag is incompatible with implicit annotations (error)": [[41, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations"]], "the / modifier may only occur once (error)": [[41, "coq:exn.The-/-modifier-may-only-occur-once"]], "this command is just asserting the names of arguments of \u2018qualid\u2019. if this is what you want, add ': assert' to silence the warning. if you want to clear implicit arguments, add ': clear implicits'. if you want to clear notation scopes, add ': clear scopes' (warning)": [[41, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'"]], "to rename arguments the 'rename' flag must be specified (error)": [[41, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified"]], "canonical structure (command)": [[42, "coq:cmd.Canonical-Structure"]], "print canonical projections (command)": [[42, "coq:cmd.Print-Canonical-Projections"]], "canonical (attribute)": [[42, "coq:attr.canonical"]], "printing existential instances (flag)": [[43, "coq:flag.Printing-Existential-Instances"]], "_": [[43, "index-0"]], "argument at position \u2018natural\u2019 is mentioned more than once (error)": [[44, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once"]], "argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal. please use { } instead of [ ] (error)": [[44, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]"]], "arguments given by name or position not supported in explicit mode (error)": [[44, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode"]], "cannot infer a term for this placeholder. (casual use of implicit arguments) (error)": [[44, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)"]], "contextual implicit (flag)": [[44, "coq:flag.Contextual-Implicit"]], "generalizable (command)": [[44, "coq:cmd.Generalizable"]], "ignoring implicit binder declaration in unexpected position (warning)": [[44, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position"]], "implicit arguments (flag)": [[44, "coq:flag.Implicit-Arguments"]], "implicit type (command)": [[44, "coq:cmd.Implicit-Type"]], "implicit types (command)": [[44, "coq:cmd.Implicit-Types"]], "making shadowed name of implicit argument accessible by position (warning)": [[44, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position"]], "maximal implicit insertion (flag)": [[44, "coq:flag.Maximal-Implicit-Insertion"]], "not enough non implicit arguments to accept the argument bound to \u2018ident\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019"]], "not enough non implicit arguments to accept the argument bound to \u2018natural\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019"]], "parsing explicit (flag)": [[44, "coq:flag.Parsing-Explicit"]], "print implicit (command)": [[44, "coq:cmd.Print-Implicit"]], "printing implicit (flag)": [[44, "coq:flag.Printing-Implicit"]], "printing implicit defensive (flag)": [[44, "coq:flag.Printing-Implicit-Defensive"]], "printing use implicit types (flag)": [[44, "coq:flag.Printing-Use-Implicit-Types"]], "reversible pattern implicit (flag)": [[44, "coq:flag.Reversible-Pattern-Implicit"]], "strict implicit (flag)": [[44, "coq:flag.Strict-Implicit"]], "strongly strict implicit (flag)": [[44, "coq:flag.Strongly-Strict-Implicit"]], "wrong argument name (error)": [[44, "coq:exn.Wrong-argument-name"]], "wrong argument position (error)": [[44, "coq:exn.Wrong-argument-position"]], "`( )": [[44, "index-2"]], "`(! )": [[44, "index-5"]], "`[ ]": [[44, "index-1"]], "`[! ]": [[44, "index-4"]], "`{ }": [[44, "index-0"]], "`{! }": [[44, "index-3"]], "asymmetric patterns (flag)": [[46, "coq:flag.Asymmetric-Patterns"]], "either there is a type incompatibility or the problem involves dependencies (error)": [[46, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies"]], "found a constructor of inductive type term while a constructor of term is expected (error)": [[46, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected"]], "non exhaustive pattern matching (error)": [[46, "coq:exn.Non-exhaustive-pattern-matching"]], "printing allow match default clause (flag)": [[46, "coq:flag.Printing-Allow-Match-Default-Clause"]], "printing factorizable match patterns (flag)": [[46, "coq:flag.Printing-Factorizable-Match-Patterns"]], "printing if (table)": [[46, "coq:table.Printing-If"]], "printing let (table)": [[46, "coq:table.Printing-Let"]], "printing match all subterms (flag)": [[46, "coq:flag.Printing-Match-All-Subterms"]], "printing matching (flag)": [[46, "coq:flag.Printing-Matching"]], "printing synth (flag)": [[46, "coq:flag.Printing-Synth"]], "printing wildcard (flag)": [[46, "coq:flag.Printing-Wildcard"]], "the constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments (error)": [[46, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments"]], "the elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case) (error)": [[46, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)"]], "the variable ident is bound several times in pattern term (error)": [[46, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term"]], "unable to infer a match predicate (error)": [[46, "coq:exn.Unable-to-infer-a-match-predicate"]], "unused variable \u2018ident\u2019 might be a misspelled constructor. use _ or _\u2018ident\u2019 to silence this warning (warning)": [[46, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning."]], "coqtop exit on error (flag)": [[51, "coq:flag.Coqtop-Exit-On-Error"]], "+ (backtracking branching) (tactic)": [[54, "coq:tacn.+-(backtracking-branching)"]], "::=": [[54, "index-0"]], "argument of match does not evaluate to a term (error)": [[54, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term"]], "condition not satisfied (error)": [[54, "coq:exn.Condition-not-satisfied"]], "debug (command)": [[54, "coq:cmd.Debug"]], "debug mode not available in the ide (error)": [[54, "coq:exn.Debug-mode-not-available-in-the-IDE"]], "expression does not evaluate to a tactic (error)": [[54, "coq:exn.Expression-does-not-evaluate-to-a-tactic"]], "failed to progress (error)": [[54, "coq:exn.Failed-to-progress"]], "info (command)": [[54, "coq:cmd.Info"]], "info level (option)": [[54, "coq:opt.Info-Level"]], "ltac (command)": [[54, "coq:cmd.Ltac"]], "ltac backtrace (flag)": [[54, "coq:flag.Ltac-Backtrace"]], "ltac batch debug (flag)": [[54, "coq:flag.Ltac-Batch-Debug"]], "ltac debug (flag)": [[54, "coq:flag.Ltac-Debug"]], "ltac profiler encountered an invalid stack (no self node). this can happen if you reset the profile during tactic execution (warning)": [[54, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution"]], "ltac profiling (flag)": [[54, "coq:flag.Ltac-Profiling"]], "no applicable tactic (error)": [[54, "coq:exn.No-applicable-tactic"]], "no evars (error)": [[54, "coq:exn.No-evars"]], "no matching clauses for match (error)": [[54, "coq:exn.No-matching-clauses-for-match"]], "no matching clauses for match goal (error)": [[54, "coq:exn.No-matching-clauses-for-match-goal"]], "no such goal. (goal selector) (error)": [[54, "coq:exn.No-such-goal.-(Goal-selector)"]], "no such goal. (fail) (error)": [[54, "coq:exn.No-such-goal.-(fail)"]], "not a context variable (error)": [[54, "coq:exn.Not-a-context-variable"]], "not a variable or hypothesis (error)": [[54, "coq:exn.Not-a-variable-or-hypothesis"]], "not an evar (error)": [[54, "coq:exn.Not-an-evar"]], "not equal (due to universes) (error)": [[54, "coq:exn.Not-equal-(due-to-universes)"]], "not equal (error)": [[54, "coq:exn.Not-equal"]], "not ground (error)": [[54, "coq:exn.Not-ground"]], "print ltac (command)": [[54, "coq:cmd.Print-Ltac"]], "print ltac signatures (command)": [[54, "coq:cmd.Print-Ltac-Signatures"]], "reset ltac profile (command)": [[54, "coq:cmd.Reset-Ltac-Profile"]], "show ltac profile (command)": [[54, "coq:cmd.Show-Ltac-Profile"]], "tactic failure (error)": [[54, "coq:exn.Tactic-failure"]], "tactic failure (level \u2018natural\u2019) (error)": [[54, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)"]], "tactic failure: <tactic closure> succeeds (error)": [[54, "coq:exn.Tactic-failure:-<tactic-closure>-succeeds"]], "there is already an ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019"]], "there is no ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019"]], "this tactic has more than one success (error)": [[54, "coq:exn.This-tactic-has-more-than-one-success"]], "unbound context identifier \u2018ident\u2019 (error)": [[54, "coq:exn.Unbound-context-identifier-\u2018ident\u2019"]], "[ \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "[> \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "assert_fails (tactic)": [[54, "coq:tacn.assert_fails"]], "assert_succeeds (tactic)": [[54, "coq:tacn.assert_succeeds"]], "constr_eq (tactic)": [[54, "coq:tacn.constr_eq"]], "constr_eq_nounivs (tactic)": [[54, "coq:tacn.constr_eq_nounivs"]], "constr_eq_strict (tactic)": [[54, "coq:tacn.constr_eq_strict"]], "context (tactic)": [[54, "coq:tacn.context"]], "convert (tactic)": [[54, "coq:tacn.convert"]], "do (tactic)": [[54, "coq:tacn.do"]], "exactly_once (tactic)": [[54, "coq:tacn.exactly_once"]], "fail (tactic)": [[54, "coq:tacn.fail"]], "finish_timing (tactic)": [[54, "coq:tacn.finish_timing"]], "first (tactic)": [[54, "coq:tacn.first"]], "fresh (tactic)": [[54, "coq:tacn.fresh"]], "fun (tactic)": [[54, "coq:tacn.fun"]], "gfail (tactic)": [[54, "coq:tacn.gfail"]], "guard (tactic)": [[54, "coq:tacn.guard"]], "has_evar (tactic)": [[54, "coq:tacn.has_evar"]], "idtac (tactic)": [[54, "coq:tacn.idtac"]], "infoh (command)": [[54, "coq:cmd.infoH"]], "is_cofix (tactic)": [[54, "coq:tacn.is_cofix"]], "is_const (tactic)": [[54, "coq:tacn.is_const"]], "is_constructor (tactic)": [[54, "coq:tacn.is_constructor"]], "is_evar (tactic)": [[54, "coq:tacn.is_evar"]], "is_fix (tactic)": [[54, "coq:tacn.is_fix"]], "is_ground (tactic)": [[54, "coq:tacn.is_ground"]], "is_ind (tactic)": [[54, "coq:tacn.is_ind"]], "is_proj (tactic)": [[54, "coq:tacn.is_proj"]], "is_var (tactic)": [[54, "coq:tacn.is_var"]], "lazymatch (tactic)": [[54, "coq:tacn.lazymatch"]], "lazymatch goal (tactic)": [[54, "coq:tacn.lazymatch-goal"]], "let (tactic)": [[54, "coq:tacn.let"]], "ltac-seq (tactic)": [[54, "coq:tacn.ltac-seq"]], "match (tactic)": [[54, "coq:tacn.match"]], "match goal (tactic)": [[54, "coq:tacn.match-goal"]], "multimatch (tactic)": [[54, "coq:tacn.multimatch"]], "multimatch goal (tactic)": [[54, "coq:tacn.multimatch-goal"]], "not a cofix definition (error)": [[54, "coq:exn.not-a-cofix-definition"]], "not a constant (error)": [[54, "coq:exn.not-a-constant"]], "not a constructor (error)": [[54, "coq:exn.not-a-constructor"]], "not a fix definition (error)": [[54, "coq:exn.not-a-fix-definition"]], "not a primitive projection (error)": [[54, "coq:exn.not-a-primitive-projection"]], "not an (co)inductive datatype (error)": [[54, "coq:exn.not-an-(co)inductive-datatype"]], "not_evar (tactic)": [[54, "coq:tacn.not_evar"]], "numgoals (tactic)": [[54, "coq:tacn.numgoals"]], "once (tactic)": [[54, "coq:tacn.once"]], "only (tactic)": [[54, "coq:tacn.only"]], "optimize_heap (tactic)": [[54, "coq:tacn.optimize_heap"]], "progress (tactic)": [[54, "coq:tacn.progress"]], "repeat (tactic)": [[54, "coq:tacn.repeat"]], "reset ltac profile (tactic)": [[54, "coq:tacn.reset-ltac-profile"]], "restart_timer (tactic)": [[54, "coq:tacn.restart_timer"]], "show ltac profile (tactic)": [[54, "coq:tacn.show-ltac-profile"]], "solve (tactic)": [[54, "coq:tacn.solve"]], "start ltac profiling (tactic)": [[54, "coq:tacn.start-ltac-profiling"]], "stop ltac profiling (tactic)": [[54, "coq:tacn.stop-ltac-profiling"]], "time (tactic)": [[54, "coq:tacn.time"]], "time_constr (tactic)": [[54, "coq:tacn.time_constr"]], "timeout (tactic)": [[54, "coq:tacn.timeout"]], "try (tactic)": [[54, "coq:tacn.try"]], "tryif (tactic)": [[54, "coq:tacn.tryif"]], "type of (tactic)": [[54, "coq:tacn.type-of"]], "type_term (tactic)": [[54, "coq:tacn.type_term"]], "unify (tactic)": [[54, "coq:tacn.unify"]], "|| (first tactic making progress) (tactic)": [[54, "coq:tacn.||-(first-tactic-making-progress)"]], "\u2026 : \u2026 (goal selector) (tactic)": [[54, "coq:tacn.\u2026-:-\u2026-(goal-selector)"]], "ltac2 (command)": [[55, "coq:cmd.Ltac2"]], "ltac2 backtrace (flag)": [[55, "coq:flag.Ltac2-Backtrace"]], "ltac2 check (command)": [[55, "coq:cmd.Ltac2-Check"]], "ltac2 eval (command)": [[55, "coq:cmd.Ltac2-Eval"]], "ltac2 globalize (command)": [[55, "coq:cmd.Ltac2-Globalize"]], "ltac2 in ltac1 profiling (flag)": [[55, "coq:flag.Ltac2-In-Ltac1-Profiling"]], "ltac2 notation (abbreviation) (command)": [[55, "coq:cmd.Ltac2-Notation-(abbreviation)"]], "ltac2 notation (command)": [[55, "coq:cmd.Ltac2-Notation"]], "ltac2 set (command)": [[55, "coq:cmd.Ltac2-Set"]], "ltac2 type (command)": [[55, "coq:cmd.Ltac2-Type"]], "ltac2 typed notations (flag)": [[55, "coq:flag.Ltac2-Typed-Notations"]], "ltac2 external (command)": [[55, "coq:cmd.Ltac2-external"]], "notation levels must range between 0 and 6 (error)": [[55, "coq:exn.Notation-levels-must-range-between-0-and-6"]], "print ltac2 (command)": [[55, "coq:cmd.Print-Ltac2"]], "print ltac2 signatures (command)": [[55, "coq:cmd.Print-Ltac2-Signatures"]], "print ltac2 type (command)": [[55, "coq:cmd.Print-Ltac2-Type"]], "the reference x was not found in the current environment (error)": [[55, "coq:exn.The-reference-X-was-not-found-in-the-current-environment"]], "unbound [value|constructor] x (error)": [[55, "coq:exn.Unbound-[value|constructor]-X"]], "abstract (attribute)": [[55, "coq:attr.abstract"]], "if-then-else (ltac2) (tactic)": [[55, "coq:tacn.if-then-else-(Ltac2)"]], "lazy_match! (tactic)": [[55, "coq:tacn.lazy_match!"]], "lazy_match! goal (tactic)": [[55, "coq:tacn.lazy_match!-goal"]], "match (ltac2) (tactic)": [[55, "coq:tacn.match-(Ltac2)"]], "match! (tactic)": [[55, "coq:tacn.match!"]], "match! goal (tactic)": [[55, "coq:tacn.match!-goal"]], "multi_match! (tactic)": [[55, "coq:tacn.multi_match!"]], "multi_match! goal (tactic)": [[55, "coq:tacn.multi_match!-goal"]], "=> (tactic)": [[57, "coq:tacn.=>"]], "debug ssrmatching (flag)": [[57, "coq:flag.Debug-SsrMatching"]], "debug ssreflect (flag)": [[57, "coq:flag.Debug-Ssreflect"]], "duplicate clear of h. use { }h instead of { h }h (warning)": [[57, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H"]], "hint view for (command)": [[57, "coq:cmd.Hint-View-for"]], "hint view for apply (command)": [[57, "coq:cmd.Hint-View-for-apply"]], "hint view for move (command)": [[57, "coq:cmd.Hint-View-for-move"]], "incorrect number of tactics (expected n tactics, was given m) (error)": [[57, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)"]], "prenex implicits (command)": [[57, "coq:cmd.Prenex-Implicits"]], "ssreflect: cannot obtain new equations out of ... (warning)": [[57, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-..."]], "ssrhave notcresolution (flag)": [[57, "coq:flag.SsrHave-NoTCResolution"]], "ssridents (flag)": [[57, "coq:flag.SsrIdents"]], "ssroldrewritegoalsorder (flag)": [[57, "coq:flag.SsrOldRewriteGoalsOrder"]], "ssrrewrite (flag)": [[57, "coq:flag.SsrRewrite"]], "abstract (ssreflect) (tactic)": [[57, "coq:tacn.abstract-(ssreflect)"]], "apply (ssreflect) (tactic)": [[57, "coq:tacn.apply-(ssreflect)"]], "by (tactic)": [[57, "coq:tacn.by"]], "case (ssreflect) (tactic)": [[57, "coq:tacn.case-(ssreflect)"]], "congr (tactic)": [[57, "coq:tacn.congr"]], "do (ssreflect) (tactic)": [[57, "coq:tacn.do-(ssreflect)"]], "done (tactic)": [[57, "coq:tacn.done"]], "elim (ssreflect) (tactic)": [[57, "coq:tacn.elim-(ssreflect)"]], "exact (ssreflect) (tactic)": [[57, "coq:tacn.exact-(ssreflect)"]], "first (ssreflect) (tactic)": [[57, "coq:tacn.first-(ssreflect)"]], "first last (tactic variant)": [[57, "coq:tacv.first-last"]], "generally have (tactic)": [[57, "coq:tacn.generally-have"]], "have (tactic)": [[57, "coq:tacn.have"]], "in (tactic)": [[57, "coq:tacn.in"]], "last (tactic)": [[57, "coq:tacn.last"]], "last first (tactic variant)": [[57, "coq:tacv.last-first"]], "move (ssreflect) (tactic)": [[57, "coq:tacn.move-(ssreflect)"]], "over (tactic)": [[57, "coq:tacn.over"]], "pose (ssreflect) (tactic)": [[57, "coq:tacn.pose-(ssreflect)"]], "rewrite (ssreflect) (tactic)": [[57, "coq:tacn.rewrite-(ssreflect)"]], "set (ssreflect) (tactic)": [[57, "coq:tacn.set-(ssreflect)"]], "suff (tactic)": [[57, "coq:tacn.suff"]], "suffices (tactic)": [[57, "coq:tacn.suffices"]], "under (tactic)": [[57, "coq:tacn.under"]], "unlock (tactic)": [[57, "coq:tacn.unlock"]], "without loss (tactic)": [[57, "coq:tacn.without-loss"]], "wlog (tactic)": [[57, "coq:tacn.wlog"]], "\u2026 : \u2026 (ssreflect) (tactic)": [[57, "coq:tacn.\u2026-:-\u2026-(ssreflect)"]], "cannot change \u2018ident\u2019, it is used in conclusion (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion"]], "cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019"]], "cannot infer a term for this placeholder. (refine) (error)": [[58, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019"]], "default goal selector (option)": [[58, "coq:opt.Default-Goal-Selector"]], "no product even after head-reduction (error)": [[58, "coq:exn.No-product-even-after-head-reduction"]], "no quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction (error)": [[58, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction"]], "no such assumption (error)": [[58, "coq:exn.No-such-assumption"]], "no such binder (error)": [[58, "coq:exn.No-such-binder"]], "no such bound variable \u2018ident\u2019 (no bound variables at all in the expression) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)"]], "no such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ...) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)"]], "no such hypothesis: \u2018ident\u2019 (error)": [[58, "coq:exn.No-such-hypothesis:-\u2018ident\u2019"]], "no \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction (error)": [[58, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction"]], "not an exact proof (error)": [[58, "coq:exn.Not-an-exact-proof"]], "not the right number of missing arguments (expected \u2018natural\u2019) (error)": [[58, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)"]], "proof is not complete. (assert) (error)": [[58, "coq:exn.Proof-is-not-complete.-(assert)"]], "the term \"\u2018type\u2019\" has type \"\u2018type\u2019\" which should be set, prop or type (error)": [[58, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type"]], "the variable \u2018ident\u2019 is already declared (error)": [[58, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared"]], "unable to apply lemma of type \"...\" on hypothesis of type \"...\" (error)": [[58, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\""]], "unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019 (error)": [[58, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019"]], "unable to unify \u2018one_term\u2019 with \u2018one_term\u2019 (error)": [[58, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019"]], "absurd (tactic)": [[58, "coq:tacn.absurd"]], "apply (tactic)": [[58, "coq:tacn.apply"]], "assert (tactic)": [[58, "coq:tacn.assert"]], "assumption (tactic)": [[58, "coq:tacn.assumption"]], "classical_left (tactic)": [[58, "coq:tacn.classical_left"]], "classical_right (tactic)": [[58, "coq:tacn.classical_right"]], "clear (tactic)": [[58, "coq:tacn.clear"]], "clear dependent (tactic)": [[58, "coq:tacn.clear-dependent"]], "clearbody (tactic)": [[58, "coq:tacn.clearbody"]], "contradict (tactic)": [[58, "coq:tacn.contradict"]], "contradiction (tactic)": [[58, "coq:tacn.contradiction"]], "cut (tactic)": [[58, "coq:tacn.cut"]], "dependent generalize_eqs (tactic)": [[58, "coq:tacn.dependent-generalize_eqs"]], "dependent generalize_eqs_vars (tactic)": [[58, "coq:tacn.dependent-generalize_eqs_vars"]], "eapply (tactic)": [[58, "coq:tacn.eapply"]], "eassert (tactic)": [[58, "coq:tacn.eassert"]], "eassumption (tactic)": [[58, "coq:tacn.eassumption"]], "eenough (tactic)": [[58, "coq:tacn.eenough"]], "eexact (tactic)": [[58, "coq:tacn.eexact"]], "eintros (tactic)": [[58, "coq:tacn.eintros"]], "enough (tactic)": [[58, "coq:tacn.enough"]], "epose (tactic)": [[58, "coq:tacn.epose"]], "epose proof (tactic)": [[58, "coq:tacn.epose-proof"]], "eremember (tactic)": [[58, "coq:tacn.eremember"]], "eset (tactic)": [[58, "coq:tacn.eset"]], "evar (tactic)": [[58, "coq:tacn.evar"]], "exact (tactic)": [[58, "coq:tacn.exact"]], "exact_no_check (tactic)": [[58, "coq:tacn.exact_no_check"]], "exfalso (tactic)": [[58, "coq:tacn.exfalso"]], "generalize (tactic)": [[58, "coq:tacn.generalize"]], "generalize dependent (tactic)": [[58, "coq:tacn.generalize-dependent"]], "generalize_eqs (tactic)": [[58, "coq:tacn.generalize_eqs"]], "generalize_eqs_vars (tactic)": [[58, "coq:tacn.generalize_eqs_vars"]], "instantiate (tactic)": [[58, "coq:tacn.instantiate"]], "intro (tactic)": [[58, "coq:tacn.intro"]], "intros (tactic)": [[58, "coq:tacn.intros"]], "intros until (tactic)": [[58, "coq:tacn.intros-until"]], "lapply (tactic)": [[58, "coq:tacn.lapply"]], "lapply needs a non-dependent product (error)": [[58, "coq:exn.lapply-needs-a-non-dependent-product"]], "move (tactic)": [[58, "coq:tacn.move"]], "native_cast_no_check (tactic)": [[58, "coq:tacn.native_cast_no_check"]], "pose (tactic)": [[58, "coq:tacn.pose"]], "pose proof (tactic)": [[58, "coq:tacn.pose-proof"]], "rapply (tactic)": [[58, "coq:tacn.rapply"]], "refine (tactic)": [[58, "coq:tacn.refine"]], "remember (tactic)": [[58, "coq:tacn.remember"]], "rename (tactic)": [[58, "coq:tacn.rename"]], "revert (tactic)": [[58, "coq:tacn.revert"]], "revert dependent (tactic)": [[58, "coq:tacn.revert-dependent"]], "set (tactic)": [[58, "coq:tacn.set"]], "simple apply (tactic)": [[58, "coq:tacn.simple-apply"]], "simple eapply (tactic)": [[58, "coq:tacn.simple-eapply"]], "specialize (tactic)": [[58, "coq:tacn.specialize"]], "specialize_eqs (tactic)": [[58, "coq:tacn.specialize_eqs"]], "vm_cast_no_check (tactic)": [[58, "coq:tacn.vm_cast_no_check"]], "\u2018ident\u2019 is already used (error)": [[58, "coq:exn.\u2018ident\u2019-is-already-used"]], "\u2018ident\u2019 is not a local definition (error)": [[58, "coq:exn.\u2018ident\u2019-is-not-a-local-definition"]], "\u2018ident\u2019 is used in the conclusion (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion"]], "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019"]], "about (command)": [[59, "coq:cmd.About"]], "back (command)": [[59, "coq:cmd.Back"]], "backto (command)": [[59, "coq:cmd.BackTo"]], "bad magic number (error)": [[59, "coq:exn.Bad-magic-number"]], "cannot find library foo in loadpath (error)": [[59, "coq:exn.Cannot-find-library-foo-in-loadpath"]], "cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019 (error)": [[59, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019"]], "can\u2019t find file \u2018ident\u2019 on loadpath (error)": [[59, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath"]], "check (command)": [[59, "coq:cmd.Check"]], "compiled library \u2018ident\u2019.vo makes inconsistent assumptions over library \u2018qualid\u2019 (error)": [[59, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019"]], "debug (option)": [[59, "coq:opt.Debug"]], "declare ml module (command)": [[59, "coq:cmd.Declare-ML-Module"]], "default timeout (option)": [[59, "coq:opt.Default-Timeout"]], "drop (command)": [[59, "coq:cmd.Drop"]], "dynlink error: execution of module initializers in the (error)": [[59, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the"]], "fail (command)": [[59, "coq:cmd.Fail"]], "fast name printing (flag)": [[59, "coq:flag.Fast-Name-Printing"]], "file ... found twice in ... (warning)": [[59, "coq:warn.File-...-found-twice-in-..."]], "file not found on loadpath: \u2018string\u2019 (error)": [[59, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019"]], "files processed by load cannot leave open proofs (error)": [[59, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs"]], "from \u2026 dependency (command)": [[59, "coq:cmd.From-\u2026-Dependency"]], "from \u2026 require (command)": [[59, "coq:cmd.From-\u2026-Require"]], "guard checking (flag)": [[59, "coq:flag.Guard-Checking"]], "inspect (command)": [[59, "coq:cmd.Inspect"]], "instructions (command)": [[59, "coq:cmd.Instructions"]], "invalid backtrack (error)": [[59, "coq:exn.Invalid-backtrack"]], "load (command)": [[59, "coq:cmd.Load"]], "load is not supported inside proofs (error)": [[59, "coq:exn.Load-is-not-supported-inside-proofs"]], "locate (command)": [[59, "coq:cmd.Locate"]], "locate file (command)": [[59, "coq:cmd.Locate-File"]], "locate library (command)": [[59, "coq:cmd.Locate-Library"]], "locate ltac (command)": [[59, "coq:cmd.Locate-Ltac"]], "locate ltac2 (command)": [[59, "coq:cmd.Locate-Ltac2"]], "locate module (command)": [[59, "coq:cmd.Locate-Module"]], "locate term (command)": [[59, "coq:cmd.Locate-Term"]], "module/section \u2018qualid\u2019 not found (error)": [[59, "coq:exn.Module/section-\u2018qualid\u2019-not-found"]], "positivity checking (flag)": [[59, "coq:flag.Positivity-Checking"]], "primitive (command)": [[59, "coq:cmd.Primitive"]], "print (command)": [[59, "coq:cmd.Print"]], "print all (command)": [[59, "coq:cmd.Print-All"]], "print all dependencies (command)": [[59, "coq:cmd.Print-All-Dependencies"]], "print assumptions (command)": [[59, "coq:cmd.Print-Assumptions"]], "print libraries (command)": [[59, "coq:cmd.Print-Libraries"]], "print loadpath (command)": [[59, "coq:cmd.Print-LoadPath"]], "print ml modules (command)": [[59, "coq:cmd.Print-ML-Modules"]], "print ml path (command)": [[59, "coq:cmd.Print-ML-Path"]], "print opaque dependencies (command)": [[59, "coq:cmd.Print-Opaque-Dependencies"]], "print registered (command)": [[59, "coq:cmd.Print-Registered"]], "print registered schemes (command)": [[59, "coq:cmd.Print-Registered-Schemes"]], "print section (command)": [[59, "coq:cmd.Print-Section"]], "print transparent dependencies (command)": [[59, "coq:cmd.Print-Transparent-Dependencies"]], "print typing flags (command)": [[59, "coq:cmd.Print-Typing-Flags"]], "printing all (flag)": [[59, "coq:flag.Printing-All"]], "printing compact contexts (flag)": [[59, "coq:flag.Printing-Compact-Contexts"]], "printing dependent evars line (flag)": [[59, "coq:flag.Printing-Dependent-Evars-Line"]], "printing depth (option)": [[59, "coq:opt.Printing-Depth"]], "printing unfocused (flag)": [[59, "coq:flag.Printing-Unfocused"]], "printing width (option)": [[59, "coq:opt.Printing-Width"]], "profile (command)": [[59, "coq:cmd.Profile"]], "quit (command)": [[59, "coq:cmd.Quit"]], "redirect (command)": [[59, "coq:cmd.Redirect"]], "register (command)": [[59, "coq:cmd.Register"]], "register inline (command)": [[59, "coq:cmd.Register-Inline"]], "register scheme (command)": [[59, "coq:cmd.Register-Scheme"]], "require (command)": [[59, "coq:cmd.Require"]], "require export (command)": [[59, "coq:cmd.Require-Export"]], "require import (command)": [[59, "coq:cmd.Require-Import"]], "require inside a module is deprecated and strongly discouraged. you can require a module at toplevel and optionally import it inside another one (warning)": [[59, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one"]], "required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ...) (error)": [[59, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)"]], "reset (command)": [[59, "coq:cmd.Reset"]], "reset initial (command)": [[59, "coq:cmd.Reset-Initial"]], "search (command)": [[59, "coq:cmd.Search"]], "search blacklist (table)": [[59, "coq:table.Search-Blacklist"]], "search output name only (flag)": [[59, "coq:flag.Search-Output-Name-Only"]], "searchpattern (command)": [[59, "coq:cmd.SearchPattern"]], "searchrewrite (command)": [[59, "coq:cmd.SearchRewrite"]], "silent (flag)": [[59, "coq:flag.Silent"]], "succeed (command)": [[59, "coq:cmd.Succeed"]], "the command has not failed! (error)": [[59, "coq:exn.The-command-has-not-failed!"]], "the file \u2018ident\u2019.vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019 (error)": [[59, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019"]], "the type \u2018ident\u2019 must be registered before this construction can be typechecked (error)": [[59, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked"]], "this object does not support universe names (error)": [[59, "coq:exn.This-object-does-not-support-universe-names"]], "time (command)": [[59, "coq:cmd.Time"]], "timeout (command)": [[59, "coq:cmd.Timeout"]], "type (command)": [[59, "coq:cmd.Type"]], "universe checking (flag)": [[59, "coq:flag.Universe-Checking"]], "universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019 (error)": [[59, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019"]], "warnings (option)": [[59, "coq:opt.Warnings"]], "bypass_check(guard) (attribute)": [[59, "coq:attr.bypass_check(guard)"]], "bypass_check(positivity) (attribute)": [[59, "coq:attr.bypass_check(positivity)"]], "bypass_check(universes) (attribute)": [[59, "coq:attr.bypass_check(universes)"]], "package-name.foo and not foo_plugin (error)": [[59, "coq:exn.package-name.foo-and-not-foo_plugin"]], "plugin name anymore. plugins should be loaded using their (error)": [[59, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their"]], "public name according to findlib, for example (error)": [[59, "coq:exn.public-name-according-to-findlib,-for-example"]], "shared library failed: coq error: \u2018string\u2019 is not a valid (error)": [[59, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid"]], "\u2018qualid\u2019 not a defined object (error)": [[59, "coq:exn.\u2018qualid\u2019-not-a-defined-object"]], "cannot coerce \u2018qualid\u2019 to an evaluable reference (error)": [[60, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference"]], "create hintdb (command)": [[60, "coq:cmd.Create-HintDb"]], "debug auto (flag)": [[60, "coq:flag.Debug-Auto"]], "debug eauto (flag)": [[60, "coq:flag.Debug-Eauto"]], "debug trivial (flag)": [[60, "coq:flag.Debug-Trivial"]], "declaring arbitrary terms as hints is fragile and deprecated": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "hint constants (command)": [[60, "coq:cmd.Hint-Constants"]], "hint constructors (command)": [[60, "coq:cmd.Hint-Constructors"]], "hint cut (command)": [[60, "coq:cmd.Hint-Cut"]], "hint extern (command)": [[60, "coq:cmd.Hint-Extern"]], "hint immediate (command)": [[60, "coq:cmd.Hint-Immediate"]], "hint mode (command)": [[60, "coq:cmd.Hint-Mode"]], "hint opaque (command)": [[60, "coq:cmd.Hint-Opaque"]], "hint projections (command)": [[60, "coq:cmd.Hint-Projections"]], "hint resolve (command)": [[60, "coq:cmd.Hint-Resolve"]], "hint rewrite (command)": [[60, "coq:cmd.Hint-Rewrite"]], "hint transparent (command)": [[60, "coq:cmd.Hint-Transparent"]], "hint unfold (command)": [[60, "coq:cmd.Hint-Unfold"]], "hint variables (command)": [[60, "coq:cmd.Hint-Variables"]], "info auto (flag)": [[60, "coq:flag.Info-Auto"]], "info eauto (flag)": [[60, "coq:flag.Info-Eauto"]], "info trivial (flag)": [[60, "coq:flag.Info-Trivial"]], "loose hint behavior (option)": [[60, "coq:opt.Loose-Hint-Behavior"]], "print hint (command)": [[60, "coq:cmd.Print-Hint"]], "print hintdb (command)": [[60, "coq:cmd.Print-HintDb"]], "print rewrite hintdb (command)": [[60, "coq:cmd.Print-Rewrite-HintDb"]], "proof with (command)": [[60, "coq:cmd.Proof-with"]], "remove hints (command)": [[60, "coq:cmd.Remove-Hints"]], "the \"at\" syntax isn't available yet for the autorewrite tactic (error)": [[60, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic"]], "this hint is not local but depends on a section variable. it will disappear when the section is closed (warning)": [[60, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed"]], "auto (tactic)": [[60, "coq:tacn.auto"]], "autorewrite (tactic)": [[60, "coq:tacn.autorewrite"]], "autounfold (tactic)": [[60, "coq:tacn.autounfold"]], "autounfold_one (tactic)": [[60, "coq:tacn.autounfold_one"]], "debug auto (tactic)": [[60, "coq:tacn.debug-auto"]], "debug eauto (tactic)": [[60, "coq:tacn.debug-eauto"]], "debug trivial (tactic)": [[60, "coq:tacn.debug-trivial"]], "easy (tactic)": [[60, "coq:tacn.easy"]], "eauto (tactic)": [[60, "coq:tacn.eauto"]], "info_auto (tactic)": [[60, "coq:tacn.info_auto"]], "info_eauto (tactic)": [[60, "coq:tacn.info_eauto"]], "info_trivial (tactic)": [[60, "coq:tacn.info_trivial"]], "it is recommended to declare a toplevel constant instead (warning)": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "now (tactic)": [[60, "coq:tacn.now"]], "trivial (tactic)": [[60, "coq:tacn.trivial"]], "\u2018qualid\u2019 cannot be used as a hint (error)": [[60, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint"]], "\u2018qualid\u2019 is not an inductive type (error)": [[60, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type"]], "cannot recognize a boolean equality (error)": [[62, "coq:exn.Cannot-recognize-a-boolean-equality"]], "firstorder depth (option)": [[62, "coq:opt.Firstorder-Depth"]], "firstorder solver (option)": [[62, "coq:opt.Firstorder-Solver"]], "goal is solvable by congruence but some arguments are missing. try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms (error)": [[62, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms"]], "i don\u2019t know how to handle dependent equality (error)": [[62, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality"]], "intuition negation unfolding (flag)": [[62, "coq:flag.Intuition-Negation-Unfolding"]], "print firstorder solver (command)": [[62, "coq:cmd.Print-Firstorder-Solver"]], "btauto (tactic)": [[62, "coq:tacn.btauto"]], "congruence (tactic)": [[62, "coq:tacn.congruence"]], "dintuition (tactic)": [[62, "coq:tacn.dintuition"]], "dtauto (tactic)": [[62, "coq:tacn.dtauto"]], "firstorder (tactic)": [[62, "coq:tacn.firstorder"]], "intuition (tactic)": [[62, "coq:tacn.intuition"]], "rtauto (tactic)": [[62, "coq:tacn.rtauto"]], "simple congruence (tactic)": [[62, "coq:tacn.simple-congruence"]], "tauto (tactic)": [[62, "coq:tacn.tauto"]], "bad occurrence number of \u2018qualid\u2019 (error)": [[64, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019"]], "cannot find a relation to rewrite (error)": [[64, "coq:exn.Cannot-find-a-relation-to-rewrite"]], "cannot find any non-recursive equality over \u2018ident\u2019 (error)": [[64, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019"]], "cannot turn [inductive|constructor] into an evaluable reference (error)": [[64, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference"]], "compute (command)": [[64, "coq:cmd.Compute"]], "declare equivalent keys (command)": [[64, "coq:cmd.Declare-Equivalent-Keys"]], "declare left step (command)": [[64, "coq:cmd.Declare-Left-Step"]], "declare reduction (command)": [[64, "coq:cmd.Declare-Reduction"]], "declare right step (command)": [[64, "coq:cmd.Declare-Right-Step"]], "eval (command)": [[64, "coq:cmd.Eval"]], "found an \"at\" clause without \"with\" clause (error)": [[64, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause"]], "found no subterm matching \u2018term\u2019 in the current goal (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal"]], "found no subterm matching \u2018term\u2019 in \u2018ident\u2019 (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019"]], "kernel term sharing (flag)": [[64, "coq:flag.Kernel-Term-Sharing"]], "keyed unification (flag)": [[64, "coq:flag.Keyed-Unification"]], "nativecompute profile filename (option)": [[64, "coq:opt.NativeCompute-Profile-Filename"]], "nativecompute profiling (flag)": [[64, "coq:flag.NativeCompute-Profiling"]], "nativecompute timing (flag)": [[64, "coq:flag.NativeCompute-Timing"]], "no head constant to reduce (error)": [[64, "coq:exn.No-head-constant-to-reduce"]], "not convertible (error)": [[64, "coq:exn.Not-convertible"]], "opaque (command)": [[64, "coq:cmd.Opaque"]], "print equivalent keys (command)": [[64, "coq:cmd.Print-Equivalent-Keys"]], "print strategies (command)": [[64, "coq:cmd.Print-Strategies"]], "print strategy (command)": [[64, "coq:cmd.Print-Strategy"]], "regular subst tactic (flag)": [[64, "coq:flag.Regular-Subst-Tactic"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019 (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion"]], "strategy (command)": [[64, "coq:cmd.Strategy"]], "tactic failure: setoid library not loaded (error)": [[64, "coq:exn.Tactic-failure:-Setoid-library-not-loaded"]], "tactic generated a subgoal identical to the original goal (error)": [[64, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal"]], "terms do not have convertible types (error)": [[64, "coq:exn.Terms-do-not-have-convertible-types"]], "the reference is not unfoldable (error)": [[64, "coq:exn.The-reference-is-not-unfoldable"]], "the reference \u2018qualid\u2019 was not found in the current environment (error)": [[64, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment"]], "the relation \u2018ident\u2019 is not a declared reflexive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared symmetric relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared transitive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "transparent (command)": [[64, "coq:cmd.Transparent"]], "cbn (tactic)": [[64, "coq:tacn.cbn"]], "cbv (tactic)": [[64, "coq:tacn.cbv"]], "change (tactic)": [[64, "coq:tacn.change"]], "change_no_check (tactic)": [[64, "coq:tacn.change_no_check"]], "compute (tactic)": [[64, "coq:tacn.compute"]], "erewrite (tactic)": [[64, "coq:tacn.erewrite"]], "etransitivity (tactic)": [[64, "coq:tacn.etransitivity"]], "eval (tactic)": [[64, "coq:tacn.eval"]], "f_equal (tactic)": [[64, "coq:tacn.f_equal"]], "fold (tactic)": [[64, "coq:tacn.fold"]], "hnf (tactic)": [[64, "coq:tacn.hnf"]], "lazy (tactic)": [[64, "coq:tacn.lazy"]], "native_compute (tactic)": [[64, "coq:tacn.native_compute"]], "now_show (tactic)": [[64, "coq:tacn.now_show"]], "pattern (tactic)": [[64, "coq:tacn.pattern"]], "red (tactic)": [[64, "coq:tacn.red"]], "reflexivity (tactic)": [[64, "coq:tacn.reflexivity"]], "replace (tactic)": [[64, "coq:tacn.replace"]], "rewrite (tactic)": [[64, "coq:tacn.rewrite"]], "rewrite * (tactic)": [[64, "coq:tacn.rewrite-*"]], "simpl (tactic)": [[64, "coq:tacn.simpl"]], "simple subst (tactic)": [[64, "coq:tacn.simple-subst"]], "stepl (tactic)": [[64, "coq:tacn.stepl"]], "stepr (tactic)": [[64, "coq:tacn.stepr"]], "subst (tactic)": [[64, "coq:tacn.subst"]], "substitute (tactic)": [[64, "coq:tacn.substitute"]], "symmetry (tactic)": [[64, "coq:tacn.symmetry"]], "transitivity (tactic)": [[64, "coq:tacn.transitivity"]], "unfold (tactic)": [[64, "coq:tacn.unfold"]], "vm_compute (tactic)": [[64, "coq:tacn.vm_compute"]], "with_strategy (tactic)": [[64, "coq:tacn.with_strategy"]], "\u2018ident\u2019 is opaque (error)": [[64, "coq:exn.\u2018ident\u2019-is-opaque"]], "\u2018qualid\u2019 does not occur (error)": [[64, "coq:exn.\u2018qualid\u2019-does-not-occur"]], "\"all\" is a predefined collection containing all variables. it can't be redefined (error)": [[66, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined"]], "abort (command)": [[66, "coq:cmd.Abort"]], "admitted (command)": [[66, "coq:cmd.Admitted"]], "attempt to save an incomplete proof (error)": [[66, "coq:exn.Attempt-to-save-an-incomplete-proof"]], "brackets do not support multi-goal selectors (error)": [[66, "coq:exn.Brackets-do-not-support-multi-goal-selectors"]], "bullet behavior (option)": [[66, "coq:opt.Bullet-Behavior"]], "collection (command)": [[66, "coq:cmd.Collection"]], "default proof mode (option)": [[66, "coq:opt.Default-Proof-Mode"]], "default proof using (option)": [[66, "coq:opt.Default-Proof-Using"]], "defined (command)": [[66, "coq:cmd.Defined"]], "diffs (option)": [[66, "coq:opt.Diffs"]], "focus (command)": [[66, "coq:cmd.Focus"]], "goal (command)": [[66, "coq:cmd.Goal"]], "guarded (command)": [[66, "coq:cmd.Guarded"]], "hyps limit (option)": [[66, "coq:opt.Hyps-Limit"]], "mangle names (flag)": [[66, "coq:flag.Mangle-Names"]], "mangle names light (flag)": [[66, "coq:flag.Mangle-Names-Light"]], "mangle names prefix (option)": [[66, "coq:opt.Mangle-Names-Prefix"]], "nested proofs allowed (flag)": [[66, "coq:flag.Nested-Proofs-Allowed"]], "new collection definition of \u2018ident\u2019 shadows the previous one (warning)": [[66, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one"]], "no focused proof (no proof-editing in progress) (error)": [[66, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)"]], "no focused proof (error)": [[66, "coq:exn.No-focused-proof"]], "no focused proof to restart (error)": [[66, "coq:exn.No-focused-proof-to-restart"]], "no such goal (error)": [[66, "coq:exn.No-such-goal"]], "no such goal (\u2018ident\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018ident\u2019)"]], "no such goal (\u2018natural\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018natural\u2019)"]], "no such goal. focus next goal with bullet \u2018bullet\u2019 (error)": [[66, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019"]], "no such goal. try unfocusing with } (error)": [[66, "coq:exn.No-such-goal.-Try-unfocusing-with-}"]], "optimize heap (command)": [[66, "coq:cmd.Optimize-Heap"]], "optimize proof (command)": [[66, "coq:cmd.Optimize-Proof"]], "print debug gc (command)": [[66, "coq:cmd.Print-Debug-GC"]], "printing goal names (flag)": [[66, "coq:flag.Printing-Goal-Names"]], "printing goal tags (flag)": [[66, "coq:flag.Printing-Goal-Tags"]], "proof (command)": [[66, "coq:cmd.Proof"]], "proof mode (command)": [[66, "coq:cmd.Proof-Mode"]], "proof `term` (command)": [[66, "coq:cmd.Proof-`term`"]], "proof is not complete. (abstract) (error)": [[66, "coq:exn.Proof-is-not-complete.-(abstract)"]], "proof using (command)": [[66, "coq:cmd.Proof-using"]], "qed (command)": [[66, "coq:cmd.Qed"]], "restart (command)": [[66, "coq:cmd.Restart"]], "save (command)": [[66, "coq:cmd.Save"]], "show (command)": [[66, "coq:cmd.Show"]], "show conjectures (command)": [[66, "coq:cmd.Show-Conjectures"]], "show existentials (command)": [[66, "coq:cmd.Show-Existentials"]], "show goal (command)": [[66, "coq:cmd.Show-Goal"]], "show intro (command)": [[66, "coq:cmd.Show-Intro"]], "show intros (command)": [[66, "coq:cmd.Show-Intros"]], "show match (command)": [[66, "coq:cmd.Show-Match"]], "show proof (command)": [[66, "coq:cmd.Show-Proof"]], "show universes (command)": [[66, "coq:cmd.Show-Universes"]], "solve unification constraints (flag)": [[66, "coq:flag.Solve-Unification-Constraints"]], "suggest proof using (flag)": [[66, "coq:flag.Suggest-Proof-Using"]], "this proof is focused, but cannot be unfocused this way (error)": [[66, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way"]], "undo (command)": [[66, "coq:cmd.Undo"]], "unfocus (command)": [[66, "coq:cmd.Unfocus"]], "unfocused (command)": [[66, "coq:cmd.Unfocused"]], "unknown inductive type (error)": [[66, "coq:exn.Unknown-inductive-type"]], "unshelve (command)": [[66, "coq:cmd.Unshelve"]], "validate proof (command)": [[66, "coq:cmd.Validate-Proof"]], "variable all is shadowed by collection named all containing all variables (warning)": [[66, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables"]], "wrong bullet \u2018bullet\u2019: bullet \u2018bullet\u2019 is mandatory here (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here"]], "wrong bullet \u2018bullet\u2019: current bullet \u2018bullet\u2019 is not finished (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished"]], "abstract (tactic)": [[66, "coq:tacn.abstract"]], "admit (tactic)": [[66, "coq:tacn.admit"]], "bullet (- + *) (tactic)": [[66, "coq:tacn.bullet-(--+-*)"]], "cycle (tactic)": [[66, "coq:tacn.cycle"]], "give_up (tactic)": [[66, "coq:tacn.give_up"]], "revgoals (tactic)": [[66, "coq:tacn.revgoals"]], "shelve (tactic)": [[66, "coq:tacn.shelve"]], "shelve_unifiable (tactic)": [[66, "coq:tacn.shelve_unifiable"]], "solve_constraints (tactic)": [[66, "coq:tacn.solve_constraints"]], "swap (tactic)": [[66, "coq:tacn.swap"]], "transparent_abstract (tactic)": [[66, "coq:tacn.transparent_abstract"]], "unshelve (tactic)": [[66, "coq:tacn.unshelve"]], "using (attribute)": [[66, "coq:attr.using"]], "{ (tactic)": [[66, "coq:tacn.{"]], "} (tactic)": [[66, "coq:tacn.}"]], "\u2018ident\u2019 is both name of a collection and variable, collection \u2018ident\u2019 takes precedence over variable (warning)": [[66, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable"]], "\u2018ident\u2019 was already a defined variable, the name \u2018ident\u2019 will refer to collection when executing \"proof using\" command (warning)": [[66, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command"]], "boolean equality schemes (flag)": [[67, "coq:flag.Boolean-Equality-Schemes"]], "cannot recognize a statement based on \u2018reference\u2019 (error)": [[67, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019"]], "case analysis schemes (flag)": [[67, "coq:flag.Case-Analysis-Schemes"]], "combined scheme (command)": [[67, "coq:cmd.Combined-Scheme"]], "decidable equality schemes (flag)": [[67, "coq:flag.Decidable-Equality-Schemes"]], "derive dependent inversion (command)": [[67, "coq:cmd.Derive-Dependent-Inversion"]], "derive dependent inversion_clear (command)": [[67, "coq:cmd.Derive-Dependent-Inversion_clear"]], "derive inversion (command)": [[67, "coq:cmd.Derive-Inversion"]], "derive inversion_clear (command)": [[67, "coq:cmd.Derive-Inversion_clear"]], "elimination schemes (flag)": [[67, "coq:flag.Elimination-Schemes"]], "keep equalities (table)": [[67, "coq:table.Keep-Equalities"]], "keep proof equalities (flag)": [[67, "coq:flag.Keep-Proof-Equalities"]], "no information can be deduced from this equality and the injectivity of constructors. this may be because the terms are convertible, or due to pattern matching restrictions in the sort prop. you can try to use option set keep proof equalities (error)": [[67, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities"]], "no primitive equality found (error)": [[67, "coq:exn.No-primitive-equality-found"]], "nonrecursive elimination schemes (flag)": [[67, "coq:flag.Nonrecursive-Elimination-Schemes"]], "not a discriminable equality (error)": [[67, "coq:exn.Not-a-discriminable-equality"]], "not a negated primitive equality (error)": [[67, "coq:exn.Not-a-negated-primitive-equality"]], "not an inductive goal with 1 constructor (error)": [[67, "coq:exn.Not-an-inductive-goal-with-1-constructor"]], "not an inductive goal with 2 constructors (error)": [[67, "coq:exn.Not-an-inductive-goal-with-2-constructors"]], "not an inductive product (error)": [[67, "coq:exn.Not-an-inductive-product"]], "not enough constructors (error)": [[67, "coq:exn.Not-enough-constructors"]], "nothing to inject (error)": [[67, "coq:exn.Nothing-to-inject"]], "rewriting schemes (flag)": [[67, "coq:flag.Rewriting-Schemes"]], "scheme (command)": [[67, "coq:cmd.Scheme"]], "scheme boolean equality (command)": [[67, "coq:cmd.Scheme-Boolean-Equality"]], "scheme equality (command)": [[67, "coq:cmd.Scheme-Equality"]], "structural injection (flag)": [[67, "coq:flag.Structural-Injection"]], "the type has no constructors (error)": [[67, "coq:exn.The-type-has-no-constructors"]], "type of \u2018ident\u2019 is not an equality of recognized \u03c3 types: expected one of sig sig2 sigt sigt2 sigt2 ex or ex2 but got \u2018term\u2019 (error)": [[67, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019"]], "unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019 (error)": [[67, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019"]], "case (tactic)": [[67, "coq:tacn.case"]], "case_eq (tactic)": [[67, "coq:tacn.case_eq"]], "cofix (tactic)": [[67, "coq:tacn.cofix"]], "compare (tactic)": [[67, "coq:tacn.compare"]], "constructor (tactic)": [[67, "coq:tacn.constructor"]], "decide (tactic)": [[67, "coq:tacn.decide"]], "decide equality (tactic)": [[67, "coq:tacn.decide-equality"]], "decompose (tactic)": [[67, "coq:tacn.decompose"]], "decompose record (tactic)": [[67, "coq:tacn.decompose-record"]], "decompose sum (tactic)": [[67, "coq:tacn.decompose-sum"]], "dependent destruction (tactic)": [[67, "coq:tacn.dependent-destruction"]], "dependent induction (tactic)": [[67, "coq:tacn.dependent-induction"]], "dependent inversion (tactic)": [[67, "coq:tacn.dependent-inversion"]], "dependent inversion_clear (tactic)": [[67, "coq:tacn.dependent-inversion_clear"]], "dependent rewrite (tactic)": [[67, "coq:tacn.dependent-rewrite"]], "dependent simple inversion (tactic)": [[67, "coq:tacn.dependent-simple-inversion"]], "destauto (tactic)": [[67, "coq:tacn.destauto"]], "destruct (tactic)": [[67, "coq:tacn.destruct"]], "discriminate (tactic)": [[67, "coq:tacn.discriminate"]], "ecase (tactic)": [[67, "coq:tacn.ecase"]], "econstructor (tactic)": [[67, "coq:tacn.econstructor"]], "edestruct (tactic)": [[67, "coq:tacn.edestruct"]], "ediscriminate (tactic)": [[67, "coq:tacn.ediscriminate"]], "eelim (tactic)": [[67, "coq:tacn.eelim"]], "eexists (tactic)": [[67, "coq:tacn.eexists"]], "einduction (tactic)": [[67, "coq:tacn.einduction"]], "einjection (tactic)": [[67, "coq:tacn.einjection"]], "eleft (tactic)": [[67, "coq:tacn.eleft"]], "elim (tactic)": [[67, "coq:tacn.elim"]], "eright (tactic)": [[67, "coq:tacn.eright"]], "esimplify_eq (tactic)": [[67, "coq:tacn.esimplify_eq"]], "esplit (tactic)": [[67, "coq:tacn.esplit"]], "exists (tactic)": [[67, "coq:tacn.exists"]], "fix (tactic)": [[67, "coq:tacn.fix"]], "induction (tactic)": [[67, "coq:tacn.induction"]], "injection (tactic)": [[67, "coq:tacn.injection"]], "inversion (tactic)": [[67, "coq:tacn.inversion"]], "inversion_clear (tactic)": [[67, "coq:tacn.inversion_clear"]], "inversion_sigma (tactic)": [[67, "coq:tacn.inversion_sigma"]], "left (tactic)": [[67, "coq:tacn.left"]], "right (tactic)": [[67, "coq:tacn.right"]], "simple destruct (tactic)": [[67, "coq:tacn.simple-destruct"]], "simple induction (tactic)": [[67, "coq:tacn.simple-induction"]], "simple injection (tactic)": [[67, "coq:tacn.simple-injection"]], "simple inversion (tactic)": [[67, "coq:tacn.simple-inversion"]], "simplify_eq (tactic)": [[67, "coq:tacn.simplify_eq"]], "split (tactic)": [[67, "coq:tacn.split"]], "\u2018ident\u2019 is not an equality of \u03c3 types (error)": [[67, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types"]], "'via' and 'abstract' cannot be used together (error)": [[71, "coq:exn.'via'-and-'abstract'-cannot-be-used-together"]], "activation of abbreviations does not expect mentioning a grammar entry (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry"]], "activation of abbreviations does not expect mentioning a scope (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope"]], "bind scope (command)": [[71, "coq:cmd.Bind-Scope"]], "cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment (error)": [[71, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment"]], "cannot interpret this number as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019"]], "cannot interpret this string as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019"]], "close scope (command)": [[71, "coq:cmd.Close-Scope"]], "declare custom entry (command)": [[71, "coq:cmd.Declare-Custom-Entry"]], "declare scope (command)": [[71, "coq:cmd.Declare-Scope"]], "delimit scope (command)": [[71, "coq:cmd.Delimit-Scope"]], "disable notation (command)": [[71, "coq:cmd.Disable-Notation"]], "enable notation (command)": [[71, "coq:cmd.Enable-Notation"]], "end of quoted string not followed by a space in notation (error)": [[71, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation"]], "found no matching notation to enable or disable (warning)": [[71, "coq:warn.Found-no-matching-notation-to-enable-or-disable"]], "infix (command)": [[71, "coq:cmd.Infix"]], "missing mapping for constructor \u2018qualid\u2019 (error)": [[71, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019"]], "more than one interpretation bound to this notation, confirm with the \"all\" modifier (error)": [[71, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier"]], "multiple 'via' options (error)": [[71, "coq:exn.Multiple-'via'-options"]], "multiple 'warning after' or 'abstract after' options (error)": [[71, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options"]], "no notation provided (error)": [[71, "coq:exn.No-notation-provided"]], "notation (abbreviation) (command)": [[71, "coq:cmd.Notation-(abbreviation)"]], "notation (command)": [[71, "coq:cmd.Notation"]], "number notation (command)": [[71, "coq:cmd.Number-Notation"]], "open scope (command)": [[71, "coq:cmd.Open-Scope"]], "print custom grammar (command)": [[71, "coq:cmd.Print-Custom-Grammar"]], "print grammar (command)": [[71, "coq:cmd.Print-Grammar"]], "print keywords (command)": [[71, "coq:cmd.Print-Keywords"]], "print notation (command)": [[71, "coq:cmd.Print-Notation"]], "print scope (command)": [[71, "coq:cmd.Print-Scope"]], "print scopes (command)": [[71, "coq:cmd.Print-Scopes"]], "print visibility (command)": [[71, "coq:cmd.Print-Visibility"]], "printing notations (flag)": [[71, "coq:flag.Printing-Notations"]], "printing parentheses (flag)": [[71, "coq:flag.Printing-Parentheses"]], "printing raw literals (flag)": [[71, "coq:flag.Printing-Raw-Literals"]], "reserved infix (command)": [[71, "coq:cmd.Reserved-Infix"]], "reserved notation (command)": [[71, "coq:cmd.Reserved-Notation"]], "scope delimiters should not start with an underscore (error)": [[71, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore"]], "scope names should not start with an underscore (error)": [[71, "coq:exn.Scope-names-should-not-start-with-an-underscore"]], "stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed) (warning)": [[71, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)"]], "string notation (command)": [[71, "coq:cmd.String-Notation"]], "syntax error: [prim:reference] expected after 'notation' (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])"]], "syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])"]], "tactic notation (command)": [[71, "coq:cmd.Tactic-Notation"]], "the 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type (warning)": [[71, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type"]], "to avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019 (warning)": [[71, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019"]], "type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. expected type is: \u2018type\u2019 instead of \u2018type\u2019. this might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation"]], "undelimit scope (command)": [[71, "coq:cmd.Undelimit-Scope"]], "unexpected non-option term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected non-option term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unexpected only parsing for an only printing notation (error)": [[71, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation"]], "unexpected only printing for an only parsing notation (error)": [[71, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation"]], "unexpected term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unknown custom entry (error)": [[71, "coq:exn.Unknown-custom-entry"]], "unknown custom entry: \u2018ident\u2019 (error)": [[71, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019"]], "unterminated string in notation (error)": [[71, "coq:exn.Unterminated-string-in-notation"]], "use of \u2018string\u2019 notation is deprecated as it is inconsistent with pattern syntax (warning)": [[71, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax"]], "add_bottom (attribute)": [[71, "coq:attr.add_bottom"]], "add_top (attribute)": [[71, "coq:attr.add_top"]], "closed-notation-not-level-0 (warning)": [[71, "coq:warn.closed-notation-not-level-0"]], "function_scope": [[71, "index-1"]], "notation-incompatible-prefix (warning)": [[71, "coq:warn.notation-incompatible-prefix"]], "overflow in int63 literal \u2018bigint\u2019 (error)": [[71, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019"]], "postfix-notation-not-level-1 (warning)": [[71, "coq:warn.postfix-notation-not-level-1"]], "type_scope": [[71, "index-0"]], "\u2018qualid\u2019 is bound to a notation that does not denote a reference (error)": [[71, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference"]], "\u2018qualid\u2019 should go from byte.byte, (list byte.byte), or primstring.string to \u2018type\u2019 or (option \u2018type\u2019) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)"]], "\u2018qualid\u2019 should go from number.int to \u2018type\u2019 or (option \u2018type\u2019). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or primfloat.float or number.number could be used (you may need to require binnums or number or primint63 or primfloat first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to number.int or (option number.int). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or number.number could be used (you may need to require binnums or number or primint63 first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to t or (option t), where t is either byte.byte, (list byte.byte), or primstring.string (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string"]], "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019 (error)": [[71, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018string\u2019 cannot be interpreted as a known notation. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018type\u2019 is not an inductive type (error)": [[71, "coq:exn.\u2018type\u2019-is-not-an-inductive-type"]], "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation"]], "cannot build functional inversion principle (warning)": [[72, "coq:warn.Cannot-build-functional-inversion-principle"]], "cannot define graph for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019"]], "cannot define principle(s) for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019"]], "cannot find induction information on \u2018qualid\u2019 (error)": [[72, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019"]], "cannot find inversion information for hypothesis \u2018ident\u2019 (error)": [[72, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019"]], "cannot use mutual definition with well-founded recursion or measure (error)": [[72, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure"]], "function (command)": [[72, "coq:cmd.Function"]], "functional case (command)": [[72, "coq:cmd.Functional-Case"]], "functional scheme (command)": [[72, "coq:cmd.Functional-Scheme"]], "generate graph for (command)": [[72, "coq:cmd.Generate-graph-for"]], "hypothesis \u2018ident\u2019 must contain at least one function (error)": [[72, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function"]], "no argument name \u2018ident\u2019 (error)": [[72, "coq:exn.No-argument-name-\u2018ident\u2019"]], "not the right number of induction arguments (error)": [[72, "coq:exn.Not-the-right-number-of-induction-arguments"]], "the recursive argument must be specified (error)": [[72, "coq:exn.The-recursive-argument-must-be-specified"]], "functional induction (tactic)": [[72, "coq:tacn.functional-induction"]], "functional inversion (tactic)": [[72, "coq:tacn.functional-inversion"]], "soft functional induction (tactic)": [[72, "coq:tacn.soft-functional-induction"]], "library file (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "library file \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "tactic notation \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "deprecated (attribute)": [[74, "coq:attr.deprecated"]], "warn (attribute)": [[74, "coq:attr.warn"]], "\u2018string\u2019 (warning)": [[74, "coq:warn.\u2018string\u2019"]], "coqdoc": [[75, "index-0"]]}})
\ No newline at end of file
+Search.setIndex({"docnames": ["addendum/canonical-structures", "addendum/extended-pattern-matching", "addendum/extraction", "addendum/generalized-rewriting", "addendum/implicit-coercions", "addendum/micromega", "addendum/miscellaneous-extensions", "addendum/nsatz", "addendum/parallel-proof-processing", "addendum/program", "addendum/rewrite-rules", "addendum/ring", "addendum/sprop", "addendum/type-classes", "addendum/universe-polymorphism", "appendix/history-and-changes/index", "appendix/indexes/index", "changes", "coq-attrindex", "coq-cmdindex", "coq-exnindex", "coq-optindex", "coq-tacindex", "genindex", "history", "index", "language/cic", "language/coq-library", "language/core/assumptions", "language/core/basic", "language/core/coinductive", "language/core/conversion", "language/core/definitions", "language/core/index", "language/core/inductive", "language/core/modules", "language/core/primitive", "language/core/records", "language/core/sections", "language/core/sorts", "language/core/variants", "language/extensions/arguments-command", "language/extensions/canonical", "language/extensions/evars", "language/extensions/implicit-arguments", "language/extensions/index", "language/extensions/match", "language/gallina-extensions", "language/gallina-specification-language", "language/module-system", "license", "practical-tools/coq-commands", "practical-tools/coqide", "practical-tools/utilities", "proof-engine/ltac", "proof-engine/ltac2", "proof-engine/proof-handling", "proof-engine/ssreflect-proof-language", "proof-engine/tactics", "proof-engine/vernacular-commands", "proofs/automatic-tactics/auto", "proofs/automatic-tactics/index", "proofs/automatic-tactics/logic", "proofs/creating-tactics/index", "proofs/writing-proofs/equality", "proofs/writing-proofs/index", "proofs/writing-proofs/proof-mode", "proofs/writing-proofs/reasoning-inductives", "proofs/writing-proofs/rewriting", "std-glossindex", "user-extensions/proof-schemes", "user-extensions/syntax-extensions", "using/libraries/funind", "using/libraries/index", "using/libraries/writing", "using/tools/coqdoc", "using/tools/index", "zebibliography"], "filenames": ["addendum/canonical-structures.rst", "addendum/extended-pattern-matching.rst", "addendum/extraction.rst", "addendum/generalized-rewriting.rst", "addendum/implicit-coercions.rst", "addendum/micromega.rst", "addendum/miscellaneous-extensions.rst", "addendum/nsatz.rst", "addendum/parallel-proof-processing.rst", "addendum/program.rst", "addendum/rewrite-rules.rst", "addendum/ring.rst", "addendum/sprop.rst", "addendum/type-classes.rst", "addendum/universe-polymorphism.rst", "appendix/history-and-changes/index.rst", "appendix/indexes/index.rst", "changes.rst", "coq-attrindex.rst", "coq-cmdindex.rst", "coq-exnindex.rst", "coq-optindex.rst", "coq-tacindex.rst", "genindex.rst", "history.rst", "index.rst", "language/cic.rst", "language/coq-library.rst", "language/core/assumptions.rst", "language/core/basic.rst", "language/core/coinductive.rst", "language/core/conversion.rst", "language/core/definitions.rst", "language/core/index.rst", "language/core/inductive.rst", "language/core/modules.rst", "language/core/primitive.rst", "language/core/records.rst", "language/core/sections.rst", "language/core/sorts.rst", "language/core/variants.rst", "language/extensions/arguments-command.rst", "language/extensions/canonical.rst", "language/extensions/evars.rst", "language/extensions/implicit-arguments.rst", "language/extensions/index.rst", "language/extensions/match.rst", "language/gallina-extensions.rst", "language/gallina-specification-language.rst", "language/module-system.rst", "license.rst", "practical-tools/coq-commands.rst", "practical-tools/coqide.rst", "practical-tools/utilities.rst", "proof-engine/ltac.rst", "proof-engine/ltac2.rst", "proof-engine/proof-handling.rst", "proof-engine/ssreflect-proof-language.rst", "proof-engine/tactics.rst", "proof-engine/vernacular-commands.rst", "proofs/automatic-tactics/auto.rst", "proofs/automatic-tactics/index.rst", "proofs/automatic-tactics/logic.rst", "proofs/creating-tactics/index.rst", "proofs/writing-proofs/equality.rst", "proofs/writing-proofs/index.rst", "proofs/writing-proofs/proof-mode.rst", "proofs/writing-proofs/reasoning-inductives.rst", "proofs/writing-proofs/rewriting.rst", "std-glossindex.rst", "user-extensions/proof-schemes.rst", "user-extensions/syntax-extensions.rst", "using/libraries/funind.rst", "using/libraries/index.rst", "using/libraries/writing.rst", "using/tools/coqdoc.rst", "using/tools/index.rst", "zebibliography.rst"], "titles": ["&lt;no title&gt;", "&lt;no title&gt;", "Program extraction", "Generalized rewriting", "Implicit Coercions", "Micromega: solvers for arithmetic goals over ordered rings", "Program derivation", "Nsatz: a solver for equalities in integral domains", "Asynchronous and Parallel Proof Processing", "Program", "User-defined rewrite rules", "ring and field: solvers for polynomial and rational equations", "SProp (proof irrelevant propositions)", "Typeclasses", "Polymorphic Universes", "History and recent changes", "Indexes", "Recent changes", "Attribute index", "Command index", "Errors and warnings index", "Flags, options and tables index", "Tactic index", "General index", "Early history of Coq", "Introduction and Contents", "Typing rules", "The Coq libraries", "Functions and assumptions", "Basic notions and conventions", "Coinductive types and corecursive functions", "Conversion rules", "Definitions", "Core language", "Inductive types and recursive functions", "The Module System", "Primitive objects", "Record types", "Sections", "Sorts", "Variants and the <code class=\"docutils literal notranslate\"><span class=\"pre\">match</span></code> construct", "Setting properties of a function's arguments", "Canonical Structures", "Existential variables", "Implicit arguments", "Language extensions", "Extended pattern matching", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "The Rocq Prover commands", "CoqIDE", "Building Rocq Projects", "Ltac", "Ltac2", "&lt;no title&gt;", "The <span class=\"smallcaps\">SSReflect</span> proof language", "Tactics", "Commands", "Programmable proof search", "Automatic solvers and programmable tactics", "Solvers for logic and equality", "Creating new tactics", "Reasoning with equalities", "Basic proof writing", "Proof mode", "Reasoning with inductive types", "&lt;no title&gt;", "Glossary index", "&lt;no title&gt;", "Syntax extensions and notation scopes", "Functional induction", "Libraries and plugins", "Writing Rocq libraries and plugins", "Documenting Rocq files with coqdoc", "Command-line and graphical tools", "Bibliography"], "terms": {"newcommand": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 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29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "_": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "o": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "fix": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "forest": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "functor": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "In": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ind": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "3": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77], "1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "left": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "2": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathrm": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "right": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "4": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indpstr": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "5": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "inject": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "length": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "letin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "let": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "list": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77], "lra": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "longrightarrow": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "match": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mod": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "zeroon": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modimp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "moda": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modtyp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mto": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nat": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nil": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nilhl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "_hl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nO": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "node": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "n": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "odd": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ovl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "overlin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "pair": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "plu": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathsf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 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77], "pierr": [2, 17, 24, 77], "letouzei": [2, 17, 24, 77], "we": [2, 3, 4, 5, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 38, 39, 40, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "present": [2, 3, 6, 9, 11, 13, 15, 17, 24, 25, 26, 29, 30, 32, 33, 34, 37, 41, 42, 44, 45, 46, 50, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 71, 73, 74, 75, 76], "here": [2, 3, 4, 5, 9, 11, 13, 14, 16, 17, 24, 29, 31, 33, 34, 35, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "command": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 25, 26, 27, 28, 29, 30, 32, 34, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 53, 54, 55, 58, 60, 62, 63, 64, 72, 73, 74], "us": [2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 39, 40, 41, 42, 45, 55, 57, 59, 60, 61, 62, 63, 65, 72, 73, 74, 75, 77], "build": [2, 5, 9, 11, 14, 17, 24, 25, 26, 27, 32, 33, 34, 37, 42, 46, 51, 54, 55, 57, 59, 60, 63, 65, 66, 67, 72, 75, 76, 77], "certifi": [2, 9, 17, 24, 77], "rel": [2, 14, 17, 26, 35, 51, 53, 55, 59, 71], "effici": [2, 11, 12, 13, 17, 25, 29, 36, 57, 60, 64, 77], "function": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 31, 33, 35, 36, 37, 39, 42, 45, 46, 51, 52, 55, 57, 58, 59, 62, 64, 67, 71, 73, 77], "them": [2, 3, 9, 10, 11, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "from": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 36, 37, 38, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75, 77], "either": [2, 5, 8, 11, 14, 17, 26, 28, 29, 31, 34, 35, 36, 37, 39, 40, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "proof": [2, 3, 6, 7, 9, 11, 13, 17, 24, 26, 29, 30, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 51, 52, 53, 55, 59, 61, 62, 64, 67, 72, 73, 74, 75, 76, 77], "specif": [2, 3, 5, 9, 11, 24, 28, 31, 32, 34, 35, 36, 39, 40, 42, 51, 52, 53, 55, 57, 58, 59, 60, 61, 64, 66, 67, 71, 77], "The": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 52, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 72, 73, 74, 76, 77], "avail": [2, 9, 11, 12, 13, 17, 24, 25, 27, 30, 35, 36, 37, 38, 40, 42, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 71, 72, 74, 75, 76, 77], "output": [2, 3, 4, 11, 14, 17, 24, 33, 42, 51, 52, 53, 54, 59, 60, 64, 66, 71, 75], "ar": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 65, 67, 71, 72, 73, 74, 75], "current": [2, 3, 4, 5, 8, 9, 10, 12, 14, 17, 24, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "ocaml": [2, 11, 17, 24, 25, 29, 32, 36, 51, 53, 54, 55, 63, 64, 66, 71, 73, 75], "haskel": [2, 13, 17, 24, 25, 57, 64, 77], "scheme": [2, 11, 17, 24, 25, 26, 27, 34, 37, 40, 46, 51, 57, 59, 62, 77], "follow": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "abus": [2, 55], "refer": [2, 3, 4, 5, 8, 10, 13, 14, 16, 24, 25, 28, 29, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 44, 46, 50, 51, 52, 53, 55, 57, 58, 60, 62, 64, 66, 67, 71, 72, 74, 75], "ani": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "three": [2, 4, 9, 11, 17, 24, 25, 34, 40, 52, 53, 54, 57, 59, 60, 67, 71], "chang": [2, 4, 5, 8, 9, 11, 13, 14, 25, 26, 28, 29, 31, 34, 36, 37, 38, 41, 43, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75], "version": [2, 3, 4, 7, 9, 13, 14, 15, 25, 29, 32, 35, 36, 37, 41, 46, 50, 51, 52, 57, 58, 59, 60, 62, 66, 73, 74, 75, 77], "8": [2, 3, 4, 13, 24, 25, 30, 35, 41, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 71, 75], "11": [2, 24, 25, 34, 53, 57, 60], "befor": [2, 4, 5, 13, 14, 17, 28, 29, 32, 34, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 74, 75], "describ": [2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 24, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71, 72, 75], "thi": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76], "chapter": [2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 24, 26, 27, 29, 31, 32, 33, 34, 38, 40, 42, 45, 52, 54, 55, 57, 58, 59, 61, 63, 65, 71, 72, 73, 75, 76], "framework": [2, 17, 24], "should": [2, 3, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 32, 34, 35, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "first": [2, 4, 5, 6, 8, 9, 11, 13, 14, 15, 17, 24, 25, 26, 27, 35, 37, 38, 40, 41, 42, 43, 44, 51, 52, 53, 55, 58, 59, 60, 62, 64, 65, 66, 67, 71, 72, 74, 75, 77], "load": [2, 3, 5, 6, 7, 11, 17, 24, 25, 27, 29, 34, 35, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "explicitli": [2, 4, 12, 13, 14, 17, 24, 27, 28, 29, 34, 38, 39, 43, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "via": [2, 5, 8, 11, 17, 35, 51, 53, 54, 55, 57, 59, 71, 72], "corelib": [2, 6, 9, 35, 36, 54, 57, 59, 64, 66], "requir": [2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 17, 24, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "file": [2, 3, 5, 6, 7, 8, 9, 11, 17, 24, 25, 27, 29, 34, 35, 41, 54, 55, 57, 60, 64, 71, 72, 73, 76], "coq": [2, 3, 5, 6, 9, 11, 13, 15, 17, 25, 26, 29, 30, 34, 46, 51, 53, 54, 55, 57, 58, 59, 60, 63, 66, 71, 72, 73, 75, 76, 77], "core": [2, 3, 5, 6, 11, 13, 17, 24, 25, 27, 29, 34, 41, 45, 51, 53, 54, 55, 57, 59, 60, 62, 65, 71, 72], "plugin": [2, 3, 5, 6, 11, 12, 17, 24, 25, 29, 33, 34, 35, 53, 54, 55, 57, 59, 60, 63, 66, 71, 72], "done": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 29, 30, 32, 34, 35, 38, 40, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 72, 75], "qualifi": [2, 17, 24, 25, 28, 32, 38, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71], "identifi": [2, 3, 9, 14, 17, 24, 25, 28, 29, 30, 31, 35, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 72, 75], "qualid": [2, 3, 4, 5, 10, 11, 13, 14, 17, 29, 35, 37, 39, 40, 41, 42, 46, 51, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 74], "can": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "kind": [2, 8, 10, 11, 17, 25, 27, 29, 34, 42, 46, 53, 55, 57, 59, 67, 72], "global": [2, 3, 4, 5, 9, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 75], "object": [2, 3, 4, 8, 9, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 35, 37, 38, 39, 40, 41, 42, 44, 51, 53, 55, 57, 59, 64, 67, 71, 72], "constant": [2, 4, 5, 6, 9, 10, 11, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 38, 41, 42, 44, 46, 51, 54, 55, 57, 58, 60, 64, 66, 67, 74], "constructor": [2, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 71, 74], "modul": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 25, 27, 28, 29, 32, 33, 36, 37, 38, 40, 41, 42, 44, 51, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "name": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 67, 71, 72, 74, 75], "recurs": [2, 5, 9, 17, 24, 25, 31, 32, 33, 37, 40, 41, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 75, 77], "string": [2, 11, 13, 14, 17, 25, 29, 40, 51, 53, 54, 55, 57, 59, 64, 66, 74, 75], "two": [2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 31, 34, 36, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75], "form": [2, 3, 4, 5, 6, 7, 9, 11, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 35, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "displai": [2, 9, 12, 14, 16, 17, 25, 35, 37, 41, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66], "term": [2, 3, 4, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 53, 57, 58, 59, 60, 62, 63, 66, 67, 72, 75], "conveni": [2, 4, 6, 12, 17, 24, 28, 29, 33, 34, 35, 44, 46, 52, 53, 54, 57, 66, 67, 71], "preview": [2, 52], "result": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 27, 31, 32, 34, 39, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "second": [2, 3, 4, 8, 9, 10, 11, 13, 15, 17, 24, 25, 26, 28, 35, 37, 38, 40, 42, 44, 51, 52, 53, 55, 57, 59, 60, 64, 66, 67, 71, 75], "all": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73], "depend": [2, 3, 7, 8, 9, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 40, 42, 43, 44, 51, 52, 54, 55, 57, 60, 62, 64, 66, 71, 72, 77], "third": [2, 3, 17, 25, 40, 41, 44, 51, 52, 53, 54, 57, 58, 75], "produc": [2, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 29, 32, 34, 36, 38, 40, 41, 44, 52, 53, 54, 55, 57, 64, 66, 71, 72, 73, 74, 75], "singl": [2, 3, 4, 13, 14, 17, 24, 25, 28, 29, 30, 34, 35, 37, 40, 44, 46, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "specifi": [2, 3, 4, 5, 6, 9, 11, 13, 17, 24, 25, 28, 29, 32, 34, 35, 36, 37, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "local": [2, 3, 4, 5, 9, 13, 17, 24, 25, 26, 28, 30, 31, 32, 34, 41, 42, 52, 55, 59, 62, 64, 66, 67, 75], "renam": [2, 17, 24, 25, 34, 37, 55, 57, 58, 59, 71, 74], "need": [2, 3, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 28, 29, 31, 32, 34, 35, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 76], "fulfil": [2, 17, 67], "syntact": [2, 3, 11, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 35, 37, 39, 41, 57, 58, 59, 64, 66, 71, 74], "keep": [2, 3, 12, 14, 17, 24, 33, 34, 36, 42, 46, 52, 53, 55, 57, 64, 67], "origin": [2, 3, 4, 9, 11, 17, 24, 29, 31, 34, 38, 43, 44, 46, 53, 57, 58, 62, 64, 66, 67, 71], "much": [2, 11, 13, 17, 25, 33, 51, 53, 57, 59, 63, 64, 71], "possibl": [2, 3, 4, 5, 8, 9, 11, 13, 14, 17, 24, 27, 28, 31, 34, 35, 37, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "also": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "work": [2, 3, 4, 5, 9, 10, 12, 13, 17, 24, 25, 26, 27, 32, 35, 41, 42, 43, 46, 51, 52, 54, 55, 57, 58, 59, 64, 67, 71, 74, 77], "directori": [2, 14, 17, 24, 27, 35, 51, 52, 53, 59, 60, 71, 75], "It": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "inspect": [2, 17, 57, 59], "what": [2, 3, 5, 10, 13, 16, 17, 24, 25, 27, 29, 33, 34, 35, 41, 42, 46, 51, 53, 54, 55, 57, 59, 60, 64, 66, 67, 71], "pwd": [2, 14, 59], "cd": [2, 17, 53], "librari": [2, 5, 7, 8, 11, 25, 29, 35, 40, 41, 52, 54, 55, 57, 58, 64, 66, 67, 72, 75], "ident": [2, 3, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 43, 44, 46, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74], "whole": [2, 3, 9, 11, 17, 29, 40, 46, 51, 52, 53, 55, 57, 59, 71, 75], "v": [2, 3, 7, 8, 11, 12, 13, 14, 17, 24, 25, 26, 27, 34, 35, 37, 42, 44, 46, 51, 52, 53, 54, 58, 59, 67, 71, 75], "an": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 58, 60, 62, 63, 64, 66, 71, 72, 74, 75, 77], "clash": [2, 17, 53, 54, 57], "prefix": [2, 3, 9, 11, 14, 17, 24, 27, 28, 34, 35, 38, 40, 41, 42, 44, 51, 52, 54, 57, 58, 59, 64, 66, 67, 71, 75], "coq_": 2, "ensur": [2, 10, 13, 14, 17, 24, 30, 34, 39, 52, 55, 59, 64, 71, 72], "session": [2, 14, 17, 51, 52, 59], "independ": [2, 13, 14, 17, 24, 34, 51, 52, 53, 54, 55, 57, 67], "other": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 67, 71, 72, 76], "separ": [2, 3, 10, 14, 17, 24, 25, 26, 29, 33, 34, 35, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 67, 71, 74], "mention": [2, 3, 14, 17, 24, 26, 34, 39, 44, 46, 51, 54, 57, 58, 60, 64, 66, 71], "just": [2, 3, 4, 8, 9, 11, 13, 17, 24, 28, 31, 34, 35, 37, 41, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "instead": [2, 3, 4, 7, 8, 11, 12, 13, 14, 17, 24, 26, 28, 33, 34, 35, 36, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "one": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 74, 75, 77], "monolith": [2, 17], "split": [2, 17, 25, 29, 34, 42, 51, 54, 57, 58, 60, 66, 67, 75], "per": [2, 3, 11, 17, 24, 52, 53, 57, 59, 71], "correspond": [2, 3, 8, 9, 11, 13, 14, 15, 17, 24, 26, 28, 33, 34, 35, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "henc": [2, 3, 4, 5, 8, 9, 13, 14, 17, 26, 34, 37, 42, 51, 53, 54, 57, 58, 64, 67, 71], "quit": [2, 3, 11, 13, 17, 25, 34, 42, 54, 55, 57, 60], "similar": [2, 3, 5, 9, 13, 17, 24, 26, 34, 35, 37, 38, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72, 74, 75], "except": [2, 3, 4, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 31, 34, 35, 36, 38, 40, 43, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 75], "onli": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "part": [2, 3, 10, 11, 13, 15, 17, 24, 25, 27, 29, 34, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 66, 67, 71, 72, 73, 74], "convent": [2, 17, 25, 33, 42, 51, 57, 59, 71], "same": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "meant": [2, 3, 14, 17, 55, 59, 64], "help": [2, 3, 8, 13, 14, 15, 16, 17, 24, 25, 27, 29, 41, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 67, 75], "automat": [2, 3, 5, 7, 9, 10, 13, 14, 17, 24, 25, 27, 28, 35, 37, 40, 42, 46, 52, 53, 54, 55, 57, 58, 60, 64, 65, 66, 71, 72, 75, 77], "test": [2, 3, 4, 9, 10, 11, 13, 17, 24, 25, 29, 30, 34, 42, 46, 55, 57, 59, 66], "see": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "instanc": [2, 4, 5, 10, 11, 12, 14, 17, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "suit": [2, 17, 53, 57, 58, 63], "sourc": [2, 4, 5, 14, 24, 25, 51, 52, 53, 55, 57, 59, 71, 73], "testcompil": [2, 17], "temporari": [2, 14, 17, 24, 57], "Then": [2, 4, 5, 11, 14, 17, 24, 26, 27, 29, 32, 34, 41, 42, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 74, 75], "its": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "signatur": [2, 3, 11, 17, 24, 34, 35, 54, 55, 59], "compil": [2, 3, 8, 9, 10, 11, 12, 24, 25, 26, 27, 29, 32, 35, 36, 38, 46, 55, 57, 64, 73, 74, 75, 77], "built": [2, 4, 11, 17, 24, 25, 26, 31, 32, 34, 37, 41, 42, 52, 53, 54, 58, 60, 61, 62, 67, 71, 72], "succe": [2, 3, 13, 17, 25, 44, 46, 51, 55, 57, 58, 59, 60, 62, 64, 66], "fail": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "show": [2, 3, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 27, 34, 35, 37, 38, 42, 51, 52, 53, 54, 57, 58, 59, 60, 64, 67, 71], "where": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 29, 30, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "deprec": [2, 4, 13, 17, 25, 28, 29, 32, 35, 41, 51, 55, 58, 59, 60, 64, 66, 71, 72], "sinc": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 28, 30, 34, 35, 37, 41, 42, 44, 46, 51, 52, 53, 54, 57, 58, 59, 60, 66, 67, 71, 74, 75], "20": [2, 3, 25, 46, 57, 67, 77], "line": [2, 8, 10, 12, 14, 24, 25, 29, 42, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71], "If": [2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 17, 26, 28, 29, 30, 32, 34, 35, 37, 38, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "accord": [2, 11, 17, 26, 34, 35, 41, 51, 53, 55, 57, 59, 60, 64, 71], "which": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 75], "valid": [2, 3, 4, 5, 8, 10, 11, 14, 17, 25, 26, 29, 32, 34, 35, 40, 42, 51, 54, 55, 57, 58, 59, 66, 71, 72], "path": [2, 4, 5, 17, 24, 25, 35, 51, 52, 54, 60], "otherwis": [2, 3, 9, 13, 14, 17, 28, 29, 34, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 73], "doe": [2, 3, 4, 5, 8, 9, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 38, 39, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "json": [2, 17, 51, 53, 59], "abil": [2, 3, 11, 12, 13, 17, 30, 52], "most": [2, 3, 4, 10, 12, 17, 24, 27, 29, 34, 38, 41, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 63, 64, 66, 67, 71, 72, 73], "import": [2, 3, 4, 5, 7, 9, 11, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 40, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "default": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "mostli": [2, 3, 17, 24, 52, 57, 60], "develop": [2, 3, 12, 13, 14, 17, 24, 25, 27, 32, 35, 42, 44, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 74, 77], "debug": [2, 5, 9, 13, 14, 17, 24, 25, 28, 52, 53, 57, 58, 60, 62, 64, 66, 72], "contain": [2, 5, 7, 8, 10, 13, 14, 15, 17, 24, 27, 29, 30, 31, 34, 35, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "raw": [2, 14, 17, 54, 55, 71], "intermediari": [2, 64], "strict": [2, 5, 13, 14, 17, 24, 25, 31, 39, 41, 42, 54, 57, 58, 59, 60, 66, 71], "ha": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74], "order": [2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 32, 34, 35, 37, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 60, 61, 62, 64, 66, 67, 71, 72, 75, 77], "when": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 51, 52, 53, 54, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "principl": [2, 5, 17, 24, 25, 27, 30, 34, 37, 51, 57, 58, 63, 64, 71, 77], "do": [2, 3, 4, 7, 8, 10, 13, 14, 17, 24, 25, 29, 31, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "want": [2, 11, 13, 17, 34, 35, 36, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74], "comput": [2, 3, 7, 9, 11, 17, 24, 25, 29, 30, 32, 34, 35, 36, 37, 41, 42, 46, 51, 52, 55, 57, 59, 67, 71, 72, 77], "call": [2, 3, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 39, 40, 42, 44, 45, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72], "ones": [2, 3, 4, 6, 8, 13, 14, 17, 25, 28, 34, 35, 37, 44, 46, 52, 53, 54, 57, 58, 59, 63, 66, 67, 71, 75], "so": [2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 29, 31, 32, 34, 35, 36, 37, 38, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74, 75], "mechan": [2, 3, 4, 9, 10, 13, 17, 24, 25, 29, 34, 38, 41, 46, 51, 52, 53, 55, 59, 64, 65, 66, 71, 72, 77], "provid": [2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 24, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "routin": 2, "each": [2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 26, 29, 30, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "time": [2, 3, 5, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 36, 37, 41, 42, 44, 46, 52, 55, 57, 58, 59, 64, 66, 67, 71], "group": [2, 4, 17, 24, 37, 42, 52, 53, 54, 57, 58, 60], "preserv": [2, 5, 14, 17, 24, 25, 29, 30, 34, 42, 55, 57, 64, 67, 71], "essenti": [2, 17, 25, 34, 55, 57, 67, 71], "reduct": [2, 3, 9, 10, 11, 12, 17, 25, 26, 30, 32, 36, 41, 44, 46, 51, 53, 57, 58, 67, 77], "non": [2, 3, 4, 6, 8, 9, 10, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 35, 37, 40, 41, 46, 51, 52, 53, 57, 59, 60, 62, 64, 66, 72, 75], "abstract": [2, 4, 5, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 34, 35, 38, 42, 44, 54, 55, 58, 59, 64, 67, 71], "dummi": [2, 14, 17, 24, 55, 77], "remov": [2, 3, 4, 5, 11, 14, 17, 24, 29, 31, 37, 41, 46, 51, 52, 53, 55, 57, 58, 59, 60, 66, 67, 71, 72, 74, 75], "deem": [2, 51], "safe": [2, 11, 17, 34], "have": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "more": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "eleg": [2, 55, 59], "therefor": [2, 17, 29, 31, 37, 52, 53, 57, 58, 62, 72, 73], "mai": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75, 77], "appear": [2, 6, 9, 10, 11, 13, 14, 17, 24, 28, 29, 31, 34, 35, 37, 38, 39, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "modular": [2, 17, 24], "nevertheless": [2, 17], "print": [2, 5, 6, 8, 11, 12, 13, 17, 24, 25, 27, 29, 31, 34, 35, 36, 38, 39, 41, 42, 51, 52, 53, 57, 58, 60, 62, 64, 66, 67, 74], "concern": [2, 12, 17, 24, 26], "less": [2, 4, 8, 11, 14, 17, 24, 34, 46, 51, 53, 54, 55, 57, 59, 60, 64, 71, 77], "becaus": [2, 3, 4, 8, 11, 12, 14, 17, 24, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40, 41, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "lazi": [2, 8, 9, 12, 17, 24, 55, 64], "still": [2, 3, 7, 9, 10, 13, 17, 24, 29, 32, 34, 36, 37, 38, 42, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 74], "make": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "readabl": [2, 17, 24, 29, 53, 57, 64, 71, 75], "control": [2, 3, 13, 14, 16, 17, 24, 25, 34, 37, 41, 51, 52, 53, 55, 60, 62, 67, 71, 75], "flag": [2, 4, 5, 8, 9, 10, 12, 13, 14, 16, 24, 25, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71], "made": [2, 3, 14, 17, 24, 29, 34, 35, 38, 41, 46, 51, 53, 54, 55, 57, 58, 64, 66, 71, 72, 75], "beta": [2, 11, 17, 24, 55, 57, 58, 64, 71, 77], "redex": [2, 17, 25, 31, 34, 64, 71], "simplif": [2, 11, 17, 24, 25, 41, 54, 67], "etc": [2, 4, 9, 14, 17, 24, 25, 26, 27, 33, 35, 42, 44, 45, 51, 52, 53, 54, 55, 57, 59, 71, 75], "turn": [2, 8, 10, 12, 13, 14, 17, 24, 27, 29, 32, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "off": [2, 8, 10, 12, 13, 14, 17, 24, 29, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71], "you": [2, 3, 4, 7, 8, 10, 11, 13, 14, 15, 16, 17, 24, 25, 27, 29, 32, 34, 35, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "close": [2, 3, 4, 5, 7, 9, 11, 14, 17, 24, 28, 29, 32, 34, 35, 38, 44, 51, 52, 55, 57, 59, 60, 64, 66, 67, 71, 75], "conserv": [2, 17], "try": [2, 3, 11, 14, 17, 24, 25, 34, 35, 40, 41, 43, 46, 53, 55, 57, 60, 62, 64, 66, 67, 71], "sure": [2, 4, 17, 35, 52, 53, 58, 71], "impli": [2, 3, 10, 14, 17, 24, 30, 34, 57, 67, 71], "respect": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 34, 38, 40, 42, 44, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "keepsingleton": [2, 17], "normal": [2, 3, 4, 5, 11, 17, 24, 26, 29, 30, 31, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 64, 66, 67, 71, 72, 77], "singleton": [2, 13, 17, 24, 34, 54, 58], "structur": [2, 3, 4, 8, 9, 13, 17, 24, 25, 32, 34, 35, 36, 37, 38, 40, 44, 45, 53, 54, 58, 59, 66, 67, 71, 72, 77], "seen": [2, 4, 13, 14, 17, 24, 32, 34, 55, 57, 67, 71], "alia": [2, 17, 24, 29, 35, 46, 55, 58], "inner": [2, 14, 17, 35, 42, 43, 54, 55, 57, 59, 62, 64, 66, 67, 71, 75], "typic": [2, 4, 6, 12, 14, 17, 24, 28, 29, 30, 34, 35, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 67, 71], "sig": [2, 17, 27, 28, 35, 67, 71], "allow": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72], "disabl": [2, 8, 9, 12, 13, 14, 17, 25, 28, 32, 34, 35, 37, 44, 51, 52, 54, 57, 59, 64, 66], "wish": [2, 5, 17, 53], "autoinlin": [2, 17], "enabl": [2, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 25, 29, 34, 37, 42, 51, 52, 53, 54, 57, 58, 59, 60, 67, 75], "bodi": [2, 4, 6, 13, 14, 17, 24, 32, 35, 37, 38, 41, 42, 44, 51, 55, 57, 58, 59, 64, 72, 75], "defin": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 62, 64, 66, 67, 71, 72, 74, 77], "heurist": [2, 5, 14, 17, 55, 57, 58, 66], "like": [2, 4, 8, 9, 10, 11, 13, 14, 17, 24, 26, 27, 29, 32, 34, 35, 38, 39, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "size": [2, 3, 9, 13, 17, 24, 34, 37, 51, 52, 55, 57, 59, 64, 71, 72], "recursor": [2, 17], "_rect": [2, 17, 34, 35, 40, 71, 72], "_rec": [2, 34, 35, 40, 71, 72], "nat_rect": [2, 27, 34, 59], "project": [2, 3, 9, 10, 12, 13, 14, 15, 17, 24, 25, 27, 29, 30, 34, 40, 41, 42, 51, 52, 54, 55, 57, 59, 60, 64, 72, 73, 74, 76], "few": [2, 3, 17, 24, 27, 29, 34, 35, 36, 37, 51, 52, 53, 55, 57, 58, 71, 73, 75], "andb": [2, 13, 17, 27, 62], "orb": [2, 27, 57, 62], "behaviour": [2, 17, 38, 53], "well": [2, 3, 4, 8, 9, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 31, 32, 33, 35, 37, 39, 43, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 67, 71, 72, 74, 75], "found": [2, 4, 5, 9, 11, 13, 17, 25, 29, 30, 34, 35, 36, 38, 39, 42, 46, 51, 54, 55, 57, 58, 59, 62, 64, 67, 71, 72, 75], "combin": [2, 3, 5, 9, 12, 14, 17, 24, 25, 26, 27, 29, 34, 37, 40, 42, 46, 52, 53, 54, 55, 57, 59, 63, 64, 75], "featur": [2, 3, 8, 11, 17, 24, 25, 29, 32, 33, 35, 36, 44, 46, 51, 52, 53, 54, 55, 57, 59, 66, 71, 72, 73, 74, 76], "alwai": [2, 3, 4, 6, 9, 10, 11, 12, 13, 14, 17, 24, 26, 34, 35, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 71, 74, 75], "dure": [2, 9, 11, 13, 14, 17, 24, 25, 37, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "noinlin": 2, "convers": [2, 3, 7, 8, 9, 11, 12, 13, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 54, 55, 57, 58, 60, 66, 71, 75], "never": [2, 13, 14, 17, 24, 35, 41, 42, 44, 51, 54, 55, 57, 58, 60, 64], "state": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 27, 29, 31, 32, 37, 51, 52, 54, 55, 57, 58, 59, 62, 64, 67, 71], "tabl": [2, 3, 4, 16, 17, 24, 25, 27, 35, 37, 38, 46, 51, 53, 54, 55, 57, 59, 67, 71, 75], "record": [2, 3, 8, 10, 11, 12, 13, 14, 17, 24, 25, 30, 33, 34, 42, 54, 55, 57, 59, 60, 62, 67, 71], "custom": [2, 3, 11, 13, 17, 24, 25, 29, 36, 53, 54, 57, 59], "declar": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 43, 46, 51, 53, 54, 58, 59, 60, 64, 71, 72, 75], "previou": [2, 3, 4, 8, 9, 11, 13, 15, 17, 24, 27, 29, 31, 34, 37, 40, 41, 42, 45, 46, 51, 52, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 74], "reset": [2, 17, 24, 29, 30, 34, 40, 41, 46, 51, 52, 54, 59, 72], "empti": [2, 3, 5, 7, 12, 13, 17, 24, 26, 34, 40, 43, 51, 53, 55, 57, 58, 59, 60, 67, 71, 72], "ask": [2, 3, 17, 25, 42, 43, 53], "mean": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 59, 64, 65, 66, 71], "both": [2, 3, 4, 11, 14, 17, 24, 25, 26, 27, 28, 29, 31, 34, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 61, 64, 66, 67, 73, 74], "But": [2, 11, 17, 34, 39, 41, 46, 51, 53, 54, 64, 75], "For": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "reason": [2, 3, 5, 9, 10, 11, 17, 24, 25, 34, 44, 51, 53, 54, 55, 57, 59, 62, 65, 71, 72, 75, 77], "decis": [2, 17, 24, 25, 58, 62, 64, 77], "taken": [2, 9, 13, 17, 24, 34, 36, 42, 44, 53, 57, 64, 67, 71], "whether": [2, 3, 9, 10, 12, 13, 14, 17, 29, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 62, 64, 66, 71, 75], "occurr": [2, 3, 11, 14, 17, 24, 25, 26, 43, 44, 46, 52, 54, 55, 59, 60, 64, 71], "replac": [2, 3, 4, 7, 9, 10, 11, 17, 24, 25, 28, 31, 32, 34, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 74, 75], "manual": [2, 11, 24, 25, 29, 50, 52, 53, 57, 60, 66, 67, 71], "perform": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 26, 34, 41, 42, 46, 51, 54, 55, 57, 60, 62, 64, 66, 67, 71, 72], "wai": [2, 3, 5, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75], "complementari": [2, 17, 24, 42, 57], "main": [2, 8, 9, 11, 13, 17, 25, 27, 29, 34, 40, 41, 52, 53, 54, 55, 57, 60, 64, 71], "logic": [2, 3, 9, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 34, 35, 39, 51, 57, 58, 59, 61, 66, 67, 75, 77], "implicit": [2, 3, 5, 9, 13, 17, 24, 25, 28, 33, 34, 37, 38, 42, 43, 45, 51, 53, 55, 57, 58, 59, 66, 67, 75], "integ": [2, 3, 7, 11, 14, 17, 24, 25, 29, 34, 39, 52, 53, 54, 55, 57, 59, 60, 64, 66], "thei": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 73, 74, 75], "omit": [2, 3, 8, 14, 17, 27, 28, 29, 30, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 75], "position": [2, 58], "start": [2, 3, 6, 8, 9, 13, 17, 24, 25, 26, 27, 29, 32, 34, 35, 37, 40, 41, 42, 44, 46, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 74, 75], "actual": [2, 3, 5, 8, 11, 14, 17, 24, 34, 37, 42, 43, 44, 46, 54, 55, 57, 60, 64, 67, 71, 72], "take": [2, 3, 5, 8, 11, 12, 13, 17, 24, 26, 28, 29, 31, 32, 37, 40, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71, 75], "place": [2, 3, 17, 32, 40, 43, 51, 53, 57, 58, 59, 64, 66, 67, 71, 75], "error": [2, 3, 4, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "rais": [2, 3, 10, 13, 17, 29, 35, 54, 55, 64, 72], "cannot": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 26, 28, 29, 32, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "honor": [2, 17, 51, 57, 71], "occur": [2, 3, 4, 8, 17, 24, 26, 28, 30, 34, 37, 38, 41, 42, 44, 46, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "final": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 29, 35, 40, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 75], "behavior": [2, 3, 4, 11, 13, 14, 17, 24, 29, 30, 32, 34, 41, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 75], "relax": [2, 17, 30, 44, 53, 57, 60], "safeimplicit": 2, "warn": [2, 3, 4, 10, 12, 13, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 62, 66, 71, 72], "emit": [2, 10, 12, 13, 17, 34, 53, 71, 74], "obtain": [2, 3, 4, 5, 17, 34, 36, 54, 55, 57, 58, 64, 67, 72, 75], "nonetheless": [2, 17, 30, 32, 36, 51, 66], "review": [2, 17, 27], "locat": [2, 17, 24, 25, 35, 51, 52, 53, 54, 55], "issu": [2, 3, 24, 25, 46, 52, 54, 55, 58, 64, 66, 71, 73], "comment": [2, 5, 17, 24, 25, 29, 52, 54, 57, 60, 66, 75], "mark": [2, 12, 17, 24, 31, 35, 37, 38, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71], "remain": [2, 3, 9, 11, 13, 14, 17, 24, 34, 36, 39, 41, 42, 44, 46, 52, 57, 58, 64, 66], "note": [2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 77], "might": [2, 3, 5, 13, 17, 46, 51, 53, 55, 57, 62, 64, 67, 71, 72, 75], "run": [2, 5, 8, 9, 13, 14, 17, 24, 25, 29, 51, 53, 57, 59, 60, 64, 66, 71, 73], "properli": [2, 8, 9, 10, 17, 29, 52, 53, 57, 59, 66], "encount": [2, 11, 17, 52, 53, 54, 64], "inform": [2, 3, 4, 10, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 37, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 72, 75, 77], "remind": [2, 3, 57], "inconsist": [2, 8, 10, 12, 14, 17, 24, 26, 34, 39, 44, 51, 59, 66, 67, 71], "lead": [2, 10, 14, 17, 24, 26, 29, 34, 39, 57, 58, 60, 64, 71, 74, 75], "incorrect": [2, 8, 12, 14, 17, 25, 34, 37, 46, 52, 57, 66], "termin": [2, 9, 17, 24, 25, 27, 29, 30, 32, 34, 35, 38, 51, 52, 55, 59, 60, 66, 71, 72], "assum": [2, 3, 5, 11, 13, 17, 26, 27, 28, 32, 34, 35, 36, 38, 39, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71, 75], "while": [2, 3, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73], "proposit": [2, 3, 5, 10, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 39, 40, 51, 57, 58, 62, 64, 66, 67, 77], "perfectli": 2, "content": [2, 17, 24, 27, 32, 35, 42, 51, 52, 53, 54, 57, 59, 66, 71, 75], "must": [2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 37, 39, 40, 41, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "cours": [2, 14, 17, 24, 42, 51, 52, 57, 64, 71], "guess": [2, 4, 11, 17, 32, 43, 53, 57, 67], "tell": [2, 3, 11, 17, 24, 34, 41, 42, 44, 46, 51, 55, 57, 60, 64, 67, 71, 75], "given": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "tv": 2, "give": [2, 3, 4, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 40, 41, 42, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 75], "ariti": [2, 17, 24, 25, 46, 55], "sequenc": [2, 3, 5, 17, 24, 25, 28, 29, 30, 46, 51, 57, 58, 59, 60, 64, 66, 71, 75], "product": [2, 3, 5, 10, 11, 13, 14, 17, 24, 26, 27, 28, 34, 36, 39, 40, 46, 54, 55, 57, 59, 60, 64, 66, 67, 71], "variabl": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 45, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 75], "quot": [2, 5, 13, 17, 24, 25, 28, 29, 44, 51, 55, 59, 66, 71, 75], "number": [2, 3, 4, 5, 7, 8, 11, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 36, 37, 39, 40, 41, 42, 43, 44, 46, 52, 53, 55, 57, 58, 59, 62, 64, 66, 67, 72, 74, 77], "check": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "y": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 77], "b": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 77], "recogn": [2, 4, 5, 8, 11, 17, 24, 29, 34, 46, 51, 52, 55, 62, 67, 71, 75], "becom": [2, 8, 11, 17, 24, 26, 28, 34, 35, 40, 44, 46, 52, 53, 55, 57, 58, 59, 64, 66, 67, 71], "int": [2, 3, 17, 36, 55, 71, 75], "0": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 41, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75, 77], "respons": [2, 10, 17, 52, 55, 75], "expect": [2, 3, 4, 11, 12, 14, 17, 24, 26, 29, 31, 32, 33, 34, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 60, 64, 67, 71], "fact": [2, 5, 11, 14, 17, 24, 28, 32, 34, 39, 41, 42, 46, 54, 55, 57, 58, 62, 64, 66, 67, 71, 75], "copi": [2, 17, 36, 46, 52, 53, 54, 57, 59, 75], "everywher": [2, 17, 55, 58, 64], "being": [2, 3, 9, 11, 12, 13, 14, 17, 24, 32, 33, 34, 35, 37, 38, 40, 42, 46, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 72, 75], "sugar": [2, 7, 17, 28, 54, 55, 59, 77], "effect": [2, 3, 9, 11, 13, 14, 17, 24, 25, 29, 30, 34, 35, 38, 43, 51, 52, 53, 54, 57, 59, 64, 66, 71, 75], "alreadi": [2, 4, 13, 17, 24, 27, 28, 32, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 73], "foreign": [2, 17], "wa": [2, 3, 10, 11, 12, 17, 24, 27, 28, 29, 32, 34, 35, 37, 38, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72], "previous": [2, 13, 17, 28, 34, 38, 52, 54, 57, 59, 71], "would": [2, 3, 4, 11, 14, 17, 28, 29, 30, 31, 32, 34, 37, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "overrid": [2, 14, 17, 37, 51, 53, 57, 66, 67, 71], "been": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 73, 74], "definit": [2, 4, 8, 10, 11, 13, 17, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 38, 41, 42, 43, 44, 51, 53, 58, 59, 60, 62, 66, 67, 72, 73, 74, 75, 77], "fill": [2, 9, 13, 17, 25, 52, 55, 57, 62, 71], "label": [2, 8, 14, 17, 29, 54, 59], "TO": 2, "BE": 2, "search": [2, 4, 5, 7, 13, 17, 24, 25, 42, 44, 51, 52, 53, 61, 62, 64], "insid": [2, 3, 4, 8, 9, 13, 14, 17, 24, 25, 28, 29, 34, 35, 38, 46, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "real": [2, 3, 7, 11, 24, 25, 34, 46, 53, 55, 66, 67, 71], "nativ": [2, 5, 10, 12, 24, 25, 36, 51, 55, 58, 59, 64], "boolean": [2, 5, 9, 11, 13, 14, 17, 24, 25, 27, 29, 34, 37, 39, 40, 42, 55, 59, 60, 62, 64, 67, 71], "syntax": [2, 4, 5, 6, 8, 9, 11, 13, 14, 25, 26, 27, 30, 32, 34, 35, 37, 39, 40, 41, 42, 43, 45, 51, 52, 53, 58, 59, 60, 63, 64, 66, 75, 77], "itself": [2, 3, 8, 9, 11, 12, 13, 14, 17, 30, 34, 39, 40, 41, 42, 43, 44, 51, 53, 54, 55, 57, 58, 60, 63, 64, 67, 71], "initi": [2, 6, 7, 11, 13, 17, 24, 27, 29, 38, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "datatyp": [2, 17, 24, 25, 26, 35, 44, 46, 54, 55, 57, 59, 60, 67, 71], "pattern": [2, 9, 13, 17, 24, 25, 27, 28, 30, 32, 34, 40, 41, 42, 45, 60, 64, 67, 72, 77], "charact": [2, 8, 10, 13, 14, 17, 24, 25, 27, 29, 35, 36, 40, 44, 46, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "char": [2, 17, 53], "prelud": [2, 17, 25, 29, 51, 59, 66], "liter": [2, 5, 17, 29, 36, 42, 54, 55, 57, 71], "handl": [2, 3, 8, 9, 11, 17, 24, 26, 37, 43, 46, 53, 55, 57, 58, 59, 61, 62, 66, 67, 71], "special": [2, 3, 4, 9, 12, 13, 16, 17, 24, 25, 27, 28, 29, 34, 51, 52, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "design": [2, 8, 11, 17, 24, 25, 37, 44, 57, 64, 71, 77], "regist": [2, 3, 4, 5, 7, 9, 11, 13, 17, 25, 32, 42, 57, 64, 67, 71, 72], "standard": [2, 3, 5, 9, 14, 25, 27, 29, 35, 36, 40, 51, 52, 53, 54, 58, 59, 62, 64, 65, 66, 67, 72, 73, 74, 75], "indic": [2, 8, 11, 12, 13, 14, 17, 24, 26, 31, 34, 35, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 62, 64, 66, 67, 71], "how": [2, 7, 8, 13, 17, 24, 25, 27, 29, 30, 34, 35, 37, 42, 43, 45, 51, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 74, 77], "over": [2, 3, 11, 14, 17, 24, 25, 26, 27, 28, 30, 32, 34, 37, 38, 39, 40, 41, 42, 44, 46, 52, 53, 54, 58, 59, 60, 61, 62, 64, 66, 67], "could": [2, 3, 4, 5, 6, 11, 12, 17, 24, 29, 31, 34, 37, 42, 46, 51, 52, 55, 57, 58, 60, 62, 66, 71, 72, 73], "arbitrari": [2, 3, 5, 10, 11, 14, 17, 24, 31, 44, 46, 53, 57, 60, 62, 71], "k": [2, 3, 6, 14, 17, 24, 26, 34, 42, 54, 57, 67, 72, 77], "emul": [2, 12, 17, 40, 57], "branch": [2, 5, 9, 17, 25, 34, 40, 45, 46, 55, 59, 60, 66, 67, 72], "element": [2, 3, 11, 12, 17, 25, 26, 27, 34, 35, 36, 46, 57, 59, 60, 71], "destruct": [2, 13, 17, 24, 25, 34, 54, 55, 57, 58, 64, 71], "foo": [2, 11, 14, 17, 29, 35, 38, 40, 43, 51, 52, 53, 55, 57, 58, 59, 64, 66, 71, 74, 75], "fun": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 75], "consid": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 34, 37, 41, 42, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 73, 75], "unit": [2, 12, 13, 14, 17, 27, 34, 40, 46, 53, 54, 55, 57, 62, 64, 71], "block": [2, 9, 10, 14, 17, 25, 29, 30, 34, 37, 38, 44, 46, 54, 64, 65, 67], "earli": [2, 15, 17, 25, 26, 54, 64], "evalu": [2, 3, 9, 11, 17, 24, 25, 28, 30, 34, 35, 41, 53, 57, 60, 64, 71], "bar": [2, 8, 14, 17, 29, 35, 51, 52, 53, 55, 57, 64, 66, 71, 74], "As": [2, 3, 5, 6, 9, 10, 11, 13, 14, 17, 26, 28, 30, 34, 36, 37, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72], "care": [2, 13, 14, 17, 46, 53, 54, 64, 67, 71, 75], "pre": [2, 17, 25, 53, 60], "sound": [2, 17, 34], "ad": [2, 4, 9, 13, 14, 17, 24, 25, 29, 34, 37, 42, 44, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 77], "hoc": [2, 3, 17, 71, 77], "often": [2, 3, 10, 13, 14, 17, 25, 28, 43, 46, 52, 53, 54, 55, 57, 58, 66], "fulli": [2, 3, 8, 17, 24, 26, 28, 31, 32, 35, 38, 44, 51, 52, 53, 54, 55, 58, 59, 64, 66, 71, 72], "rigor": [2, 24], "correct": [2, 8, 9, 11, 17, 24, 25, 28, 32, 35, 46, 51, 53, 57, 59, 64, 66, 67, 71], "theoret": [2, 17, 24, 31, 39, 77], "valu": [2, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 42, 43, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "larger": [2, 13, 14, 17, 25, 51, 52, 57, 60, 71, 75], "than": [2, 3, 5, 8, 11, 12, 13, 14, 17, 24, 29, 30, 31, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "max_int": 2, "overflow": [2, 17, 59, 66, 71], "bad": [2, 11, 12, 14, 17, 34, 59, 64], "event": [2, 17, 51], "practic": [2, 3, 5, 17, 24, 25, 32, 34, 39, 42, 53, 55, 57, 58, 64, 66, 71, 74, 77], "translat": [2, 3, 17, 24, 25, 33, 41, 45, 57, 71, 75], "magic": [2, 17, 24, 55, 59], "improv": [2, 3, 8, 11, 17, 24, 29, 52, 54, 57, 67], "asymptot": [2, 59], "complex": [2, 11, 17, 24, 25, 29, 33, 35, 52, 54, 55, 57, 59, 61, 63, 66, 67], "represent": [2, 3, 5, 11, 12, 17, 24, 29, 34, 37, 51, 53, 57, 64, 71], "mul": [2, 5, 17, 36, 52, 57, 59, 71], "stai": [2, 27], "quadrat": [2, 17], "interest": [2, 4, 5, 11, 17, 24, 31, 42, 54, 57, 67], "associ": [2, 3, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67], "primit": [2, 10, 12, 13, 14, 17, 24, 25, 27, 30, 33, 34, 41, 46, 54, 55, 57, 64, 67], "counterpart": [2, 3, 9, 11, 17, 30, 34, 57], "bool": [2, 3, 4, 5, 12, 13, 17, 24, 27, 30, 35, 36, 37, 40, 41, 42, 44, 46, 55, 57, 58, 59, 60, 71], "true": [2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 17, 24, 26, 27, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 62, 64, 67, 71, 74], "fals": [2, 4, 5, 9, 10, 12, 13, 17, 24, 27, 34, 37, 40, 41, 46, 51, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71], "sumbool": [2, 27, 46, 71], "enclos": [2, 29, 41, 53, 54, 55, 66, 71, 75], "parenthes": [2, 3, 8, 17, 24, 28, 29, 35, 37, 46, 54, 55, 57, 58, 67, 71], "meet": [2, 9, 71], "lexic": [2, 17, 25, 51, 59, 71, 75], "criteria": [2, 17, 72], "infix": [2, 14, 17, 24, 25, 27, 42, 57, 58, 64, 74], "symbol": [2, 3, 11, 14, 17, 24, 25, 27, 28, 29, 31, 41, 42, 43, 46, 57, 59, 60, 62, 64, 67, 71, 75, 77], "rest": [2, 3, 13, 17, 26, 29, 36, 42, 52, 57, 66], "prod": [2, 17, 26, 27, 34, 46, 62, 67], "caveat": [2, 17, 25, 55, 57, 60], "abov": [2, 3, 5, 11, 13, 14, 17, 24, 28, 30, 34, 37, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 75], "succ": [2, 24, 54, 59, 64], "fo": 2, "els": [2, 4, 9, 11, 12, 13, 17, 29, 30, 35, 40, 41, 46, 52, 54, 55, 57, 59, 62, 67, 71, 75], "interfac": [2, 17, 24, 25, 35, 52, 53, 66, 74, 75, 76], "link": [2, 16, 17, 24, 27, 46, 51, 53, 57, 72, 75], "linker": [2, 24], "know": [2, 8, 17, 24, 27, 32, 34, 42, 46, 52, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71], "extern": [2, 5, 11, 13, 17, 29, 33, 52, 54, 55, 59, 60, 63, 66, 73, 74, 75], "shall": [2, 17, 24, 26, 31, 34, 39, 42, 57, 71], "access": [2, 5, 14, 17, 24, 25, 28, 32, 33, 34, 35, 36, 38, 44, 51, 52, 53, 55, 57, 59, 71], "callback": [2, 17], "referenc": [2, 17, 53, 71], "stdlib": [2, 3, 5, 7, 9, 11, 12, 14, 17, 27, 28, 29, 35, 51, 53, 54, 55, 57, 59, 60, 64, 67, 72, 75], "f_impl": 2, "compat": [2, 3, 4, 13, 14, 24, 25, 29, 34, 42, 51, 52, 53, 58, 62, 63, 64, 71], "support": [2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 17, 24, 25, 30, 32, 34, 35, 36, 37, 40, 41, 42, 44, 51, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76], "thrown": 2, "after": [2, 4, 5, 7, 9, 11, 13, 17, 24, 29, 32, 34, 35, 38, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "callabl": 2, "express": [2, 3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 39, 40, 41, 43, 44, 57, 58, 59, 60, 64, 66, 67, 75], "signal": [2, 8, 17, 57], "alias": [2, 17, 24, 25, 29, 35, 55], "uniqu": [2, 3, 12, 13, 17, 24, 31, 35, 38, 57, 59, 67, 71], "multipl": [2, 3, 4, 9, 14, 17, 24, 25, 27, 29, 34, 35, 40, 44, 52, 58, 59, 60, 64, 66, 67, 71], "expos": [2, 17, 25, 40, 41, 57, 71], "share": [2, 11, 13, 14, 17, 24, 28, 29, 34, 46, 51, 52, 53, 57, 59, 60, 64, 67, 71], "impact": [2, 17, 53, 66, 71], "synthesis": 2, "thu": [2, 3, 4, 5, 10, 12, 17, 24, 32, 34, 42, 43, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "safeti": 2, "registr": [2, 17, 25], "usabl": [2, 17, 24, 38, 52, 66, 67, 71], "togeth": [2, 3, 9, 17, 24, 25, 27, 31, 34, 35, 43, 53, 54, 55, 57, 66, 71, 75], "map": [2, 3, 5, 13, 17, 24, 25, 26, 34, 35, 36, 39, 41, 44, 51, 53, 57, 58, 59, 60, 71, 72, 75], "directli": [2, 3, 4, 9, 13, 14, 17, 24, 27, 28, 34, 43, 51, 52, 53, 55, 57, 58, 60, 64, 67, 72, 75], "happen": [2, 4, 9, 10, 13, 17, 34, 38, 46, 52, 54, 55, 57, 58, 64, 71, 72], "instruct": [2, 5, 17, 53, 58, 59], "particular": [2, 3, 6, 9, 10, 12, 13, 17, 29, 30, 31, 32, 33, 34, 37, 38, 40, 42, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71, 75], "blacklist": [2, 17, 59], "includ": [2, 3, 5, 8, 9, 12, 13, 14, 17, 24, 25, 27, 28, 29, 34, 35, 36, 38, 39, 40, 41, 43, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 73, 75], "natur": [2, 5, 7, 9, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 34, 35, 37, 39, 40, 42, 44, 46, 52, 53, 57, 58, 59, 62, 64, 66, 71, 72], "finer": [2, 17, 34, 57], "grain": [2, 17, 41], "bit": [2, 5, 17, 29, 30, 34, 36, 51, 53, 66, 71, 75, 77], "mask": [2, 35], "unless": [2, 3, 13, 14, 17, 29, 40, 41, 42, 44, 51, 52, 57, 58, 64, 71, 72, 75], "treatment": [2, 9, 17, 40], "fixpoint": [2, 3, 10, 13, 17, 24, 25, 27, 29, 30, 31, 32, 37, 38, 41, 44, 46, 52, 57, 59, 64, 66, 67, 71, 72], "simplifi": [2, 11, 17, 24, 41, 54, 57, 64, 67], "redux": 2, "factor": [2, 5, 11, 17, 25, 34, 45], "16": [2, 25, 53, 54, 57, 71], "32": [2, 17, 36, 51, 53, 66], "6": [2, 9, 25, 29, 35, 53, 54, 55, 57, 58, 71, 74, 77], "64": [2, 36, 51, 66], "swap": [2, 17, 54, 57, 58], "lambda": [2, 3, 10, 11, 17, 31, 52, 55, 64, 67, 71, 77], "7": [2, 11, 25, 54, 57, 64, 71, 74, 75, 77], "128": 2, "256": 2, "push": [2, 17, 57, 71], "9": [2, 24, 25, 29, 30, 35, 53, 54, 57, 64, 71, 74, 77], "512": 2, "linear": [2, 3, 11, 14, 17, 24, 25, 46, 51, 54, 55, 57, 64], "10": [2, 5, 24, 25, 29, 31, 52, 54, 57, 59, 60, 64, 71, 74, 77], "1024": 2, "typeexpand": 2, "expand": [2, 13, 14, 17, 28, 29, 30, 31, 35, 37, 41, 46, 52, 54, 55, 57, 58, 64, 67, 71], "learn": [2, 17, 25, 54, 72], "written": [2, 3, 5, 11, 13, 17, 24, 26, 28, 29, 34, 35, 36, 37, 42, 43, 44, 46, 52, 53, 54, 55, 57, 59, 64, 71, 73, 74], "due": [2, 3, 13, 14, 17, 24, 27, 30, 34, 46, 52, 54, 55, 59, 64, 66, 67, 71, 72, 73], "typabl": [2, 4, 34], "now": [2, 3, 4, 11, 13, 14, 17, 24, 26, 27, 30, 34, 35, 41, 42, 46, 51, 52, 53, 54, 55, 57, 59, 60, 64, 67, 71, 72, 74], "solv": [2, 3, 5, 7, 11, 13, 17, 24, 25, 39, 42, 44, 57, 60, 61, 62, 64, 67], "problem": [2, 4, 7, 9, 13, 17, 24, 29, 34, 42, 44, 46, 51, 52, 53, 54, 58, 62, 66, 67], "least": [2, 3, 12, 13, 17, 25, 28, 29, 30, 34, 41, 46, 52, 53, 57, 58, 64, 66, 67, 71, 72, 74, 75], "unsaf": [2, 17, 55, 66], "cast": [2, 12, 17, 25, 40, 46, 54, 55, 57, 58, 60, 64, 71], "obj": [2, 24, 42], "veri": [2, 8, 9, 11, 13, 17, 24, 25, 27, 29, 34, 42, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67], "polymorph": [2, 3, 13, 17, 24, 25, 26, 29, 30, 31, 32, 33, 37, 39, 40, 41, 44, 46, 51, 59, 66, 67, 71], "alright": 2, "refus": [2, 3, 64], "checker": [2, 9, 11, 17, 24, 25, 26, 29, 33, 73], "known": [2, 8, 10, 12, 13, 17, 24, 27, 30, 33, 34, 39, 41, 44, 51, 55, 57, 66, 71], "distr": 2, "dp": [2, 17], "foral": [2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 36, 37, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "direct": [2, 9, 12, 16, 17, 24, 31, 34, 42, 46, 52, 53, 57, 58, 71], "restrict": [2, 3, 12, 14, 17, 24, 26, 34, 35, 40, 51, 54, 57, 58, 59, 60, 62, 67, 71], "secondli": [2, 17], "quantif": [2, 3, 4, 13, 14, 17, 24, 26, 27, 28, 60, 67], "anyth": [2, 13, 17, 35, 44, 46, 51, 55, 57, 58, 64, 75], "anything_rect": 2, "anything_ind": 2, "anything_rec": 2, "anything_sind": 2, "dynam": [2, 11, 13, 17, 25, 36, 51, 59, 71], "gadt": 2, "yet": [2, 17, 42, 43, 46, 51, 52, 54, 55, 57, 58, 60, 66, 71, 72], "those": [2, 3, 5, 10, 11, 12, 17, 24, 26, 33, 34, 35, 37, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "get": [2, 5, 9, 11, 13, 14, 17, 24, 25, 28, 29, 34, 36, 42, 51, 52, 53, 55, 58, 59, 60, 64, 66, 67], "segment": [2, 17, 24, 52, 59, 71], "fault": [2, 24, 71], "your": [2, 3, 8, 11, 14, 15, 17, 25, 29, 51, 52, 54, 55, 57, 58, 59, 60, 62, 66, 71, 73, 74, 75], "seem": [2, 5, 17, 71], "ill": [2, 4, 9, 10, 17, 24, 26, 30, 34, 51, 55, 64, 71, 72], "go": [2, 5, 9, 17, 24, 30, 42, 51, 52, 54, 55, 57, 59, 60, 64, 67, 71, 75], "wrong": [2, 3, 17, 24, 44, 51, 54, 66, 72], "come": [2, 6, 8, 13, 17, 24, 27, 34, 43, 51, 52, 54, 55, 57, 59, 60, 64, 71], "Of": [2, 14, 42, 51, 57], "launch": [2, 13, 17, 25, 52, 53], "appli": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 44, 46, 51, 53, 54, 55, 59, 60, 62, 66, 71, 72, 75], "shape": [2, 3, 57], "point": [2, 3, 11, 13, 17, 24, 25, 26, 32, 34, 35, 36, 39, 51, 52, 53, 54, 55, 57, 66, 71], "view": [2, 11, 17, 25, 26, 29, 32, 34, 39, 41, 52, 55, 60, 66], "about": [2, 3, 5, 11, 13, 14, 15, 17, 24, 25, 29, 30, 34, 37, 39, 41, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72], "let02": [2, 77], "sai": [2, 3, 4, 17, 24, 26, 27, 28, 29, 31, 34, 42, 52, 53, 54, 55, 57, 58, 64, 71, 74], "though": [2, 8, 9, 17, 24, 29, 35, 37, 46, 51, 53, 54, 55, 64, 67, 71], "realist": [2, 42], "accept": [2, 3, 13, 17, 24, 28, 29, 30, 32, 34, 40, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 72], "without": [2, 3, 5, 8, 9, 11, 13, 14, 17, 24, 26, 29, 32, 33, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75, 77], "below": [2, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 31, 34, 35, 38, 40, 41, 43, 51, 52, 53, 54, 55, 57, 64, 66, 71, 72, 74, 75], "choos": [2, 3, 17, 32, 34, 42, 43, 52, 53, 54, 57, 58, 67, 71, 72, 75], "everyth": [2, 17, 52, 53], "slight": [2, 17, 24, 58], "modif": [2, 4, 11, 17, 36, 41, 58, 71], "find": [2, 3, 4, 5, 7, 11, 13, 14, 16, 17, 25, 27, 29, 34, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 72, 77], "Its": [2, 3, 11, 17, 24, 52, 55, 57, 60, 67, 74], "euclid": [2, 17, 24], "unari": [2, 3, 26, 29, 34, 64], "repres": [2, 3, 5, 11, 13, 14, 17, 24, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71], "theorem": [2, 5, 7, 8, 11, 12, 17, 24, 25, 27, 29, 32, 33, 35, 37, 38, 42, 43, 51, 52, 57, 59, 60, 62, 65, 66, 71, 73, 74, 75, 77], "eucl_dev": 2, "whose": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 31, 33, 34, 35, 37, 39, 41, 42, 44, 46, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 75], "diveucl": 2, "quotient": [2, 5, 17, 40, 57, 64], "modulo": [2, 4, 5, 11, 17, 24, 34, 54, 57, 58, 59, 71], "assert": [2, 17, 24, 25, 26, 28, 34, 41, 54, 55, 57, 58, 62, 64, 66, 67, 71], "disappear": [2, 17, 24, 34, 55, 60, 67, 71], "wf_nat": [2, 17, 24], "gt_wf_rec": 2, "lt_wf_rec": [2, 24], "induction_ltof2": 2, "val": [2, 34, 55, 57], "sub": [2, 4, 8, 17, 36, 41, 46, 51, 53, 54, 57, 59, 60, 67, 71], "rec": [2, 17, 24, 35, 54, 55, 75], "le_lt_dec": [2, 17, 24], "n0": [2, 9, 31, 46, 57, 58, 67, 72], "n1": [2, 9, 34, 53, 57, 72], "le_gt_dec": 2, "divex": 2, "d": [2, 4, 5, 11, 14, 17, 24, 26, 34, 46, 51, 52, 53, 54, 57, 58, 62, 67, 75, 77], "q": [2, 3, 5, 7, 10, 11, 12, 17, 24, 27, 34, 35, 46, 51, 53, 54, 55, 57, 58, 59, 67, 71, 75], "r": [2, 3, 5, 7, 9, 11, 13, 14, 17, 24, 27, 28, 34, 35, 37, 41, 44, 51, 53, 54, 57, 58, 59, 60, 64, 67, 71, 72, 75, 77], "mandatori": [2, 8, 17, 32, 57, 66, 71], "enhanc": [2, 17, 52, 57], "past": [2, 17, 52, 64], "u": [2, 3, 4, 9, 10, 11, 14, 17, 24, 26, 27, 31, 34, 35, 38, 39, 41, 42, 46, 51, 53, 54, 55, 57, 58, 62, 64, 67, 71], "plai": [2, 17, 26, 42, 64, 66], "toplevel": [2, 10, 13, 14, 17, 24, 25, 27, 29, 35, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 71, 72, 74], "easier": [2, 10, 17, 24, 45, 52, 57, 58, 67, 71], "nat_of_int": 2, "int_of_nat": 2, "div": [2, 3, 5, 11, 17, 59], "173": [2, 14], "15": [2, 13, 25, 52, 53, 57, 66], "mere": [2, 17, 55, 57, 64, 71], "extrocamlintconv": 2, "concret": [2, 13, 14, 17, 25, 26, 29, 34, 42, 46, 51, 57, 64, 71], "patholog": 2, "success": [2, 3, 4, 5, 13, 17, 24, 25, 34, 51, 52, 55, 57, 59, 60, 62, 64, 66, 67, 74], "sever": [2, 3, 4, 5, 11, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 64, 65, 67, 71, 72, 75, 76], "chain": [2, 17, 25, 51, 64, 71, 74], "http": [2, 5, 17, 24, 25, 27, 50, 51, 52, 53, 59, 64, 75, 77], "github": [2, 5, 17, 51, 52], "com": [2, 5, 17, 51, 52, 54], "commun": [2, 17, 24, 27, 29, 51], "hydra": 2, "battl": 2, "bdd": 2, "contrib": [2, 17, 24, 53, 55], "canon": [2, 4, 5, 11, 13, 17, 24, 25, 30, 32, 34, 35, 37, 38, 44, 45, 53, 57, 59, 71, 77], "chines": [2, 24], "continu": [2, 17, 24, 52, 53, 54, 55, 57, 71, 73], "fire": [2, 14, 17], "squad": 2, "founifi": 2, "graph": [2, 14, 17, 24, 25, 39, 54, 72], "higman": 2, "cf": [2, 9, 17, 24, 29, 34, 40, 42, 46, 59, 67], "nw": 2, "hardwar": [2, 8, 24], "multipli": [2, 57], "stalmarck": [2, 24], "probabl": [2, 17, 32, 44, 51, 54, 57, 58, 59, 75], "heavi": 2, "impred": [2, 12, 14, 17, 24, 25, 34, 51, 53, 77], "thank": [2, 5, 12, 17, 24, 34, 42, 55, 57, 64, 71], "matthieu": [3, 9, 14, 17, 77], "sozeau": [3, 9, 14, 17, 77], "equal": [3, 5, 8, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 39, 40, 42, 44, 46, 52, 54, 55, 57, 58, 60, 61, 65, 71, 72, 77], "equip": [3, 4, 17, 24, 27, 36, 42, 64], "equival": [3, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 46, 51, 52, 53, 54, 55, 59, 60, 62, 64, 66, 67, 71, 75], "behav": [3, 11, 17, 24, 28, 29, 31, 34, 35, 43, 53, 54, 55, 57, 58, 60, 62, 64, 67, 71], "weaker": [3, 17, 24, 60], "g": [3, 4, 5, 9, 10, 13, 14, 17, 24, 27, 28, 29, 30, 31, 34, 35, 36, 41, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "system": [3, 8, 9, 11, 17, 24, 25, 26, 27, 28, 29, 32, 33, 34, 38, 39, 46, 51, 52, 53, 54, 55, 57, 59, 60, 62, 71, 73, 77], "toolbox": [3, 17], "extend": [3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 37, 40, 41, 42, 45, 51, 52, 53, 55, 59, 60, 71, 77], "capabl": [3, 17, 51, 53, 54, 55, 64], "document": [3, 8, 9, 11, 12, 16, 17, 24, 25, 42, 51, 52, 54, 55, 57, 59, 64, 65, 66, 67, 71, 72, 74, 76], "adapt": [3, 7, 17, 24, 51, 57, 63], "claudio": [3, 17, 24], "sacerdoti": [3, 17, 24], "coen": [3, 17, 24], "base": [3, 5, 10, 11, 12, 13, 14, 17, 24, 25, 29, 33, 35, 39, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75, 77], "cl\u00e9ment": [3, 17], "renard": [3, 24], "implement": [3, 8, 11, 12, 13, 17, 24, 25, 29, 34, 35, 36, 37, 39, 43, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 77], "drop": [3, 17, 51, 54, 59, 71], "old": [3, 11, 24, 25, 51, 53, 55, 58, 60, 66, 67], "complet": [3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 24, 29, 30, 32, 34, 36, 40, 42, 51, 52, 53, 54, 57, 58, 59, 60, 62, 66, 67, 71], "typeclass": [3, 4, 5, 7, 17, 25, 35, 37, 38, 44, 45, 58, 60, 64, 66, 71], "infrastructur": [3, 25, 42, 53], "algorithm": [3, 7, 9, 11, 13, 17, 24, 25, 41, 51, 54, 57, 59, 62, 66, 77], "constraint": [3, 5, 8, 9, 10, 13, 17, 24, 25, 34, 35, 39, 43, 44, 51, 53, 54, 55, 58, 67, 71], "ml": [3, 5, 6, 8, 11, 17, 24, 25, 26, 29, 34, 36, 46, 51, 52, 53, 54, 57, 59, 60, 63, 64, 72, 77], "resolut": [3, 13, 17, 24, 25, 58, 60, 66, 71, 75], "anoth": [3, 4, 9, 11, 13, 14, 17, 24, 27, 31, 32, 34, 35, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 63, 64, 66, 67, 71], "pure": [3, 7, 11, 17, 55, 57, 64, 71, 72, 75], "again": [3, 13, 17, 24, 34, 42, 52, 53, 55, 57, 60, 64, 66, 71], "ordinari": [3, 17, 26, 37, 39, 71], "rocq": [3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 50, 52, 54, 55, 58, 59, 62, 63, 64, 65, 66, 67, 73, 76], "manipul": [3, 9, 10, 17, 24, 25, 34, 37, 39, 55, 57, 63, 77], "put": [3, 5, 13, 14, 17, 34, 35, 43, 51, 53, 54, 57, 58, 59, 60, 66, 67, 71, 72, 75], "lemma": [3, 5, 11, 13, 14, 17, 24, 25, 32, 34, 35, 36, 38, 42, 44, 46, 54, 57, 58, 59, 60, 62, 64, 67, 72], "prove": [3, 5, 7, 8, 9, 11, 17, 24, 25, 27, 30, 32, 34, 35, 42, 43, 57, 58, 60, 62, 64, 72, 77], "higher": [3, 14, 17, 24, 25, 27, 40, 51, 54, 57, 58, 59, 60, 64, 67, 71, 73, 77], "depth": [3, 5, 13, 17, 29, 54, 57, 58, 59, 60, 62, 64, 71, 75], "solut": [3, 5, 13, 17, 42, 44, 58, 59, 63, 67], "fast": [3, 17, 24, 25, 53], "besid": [3, 17, 24, 34, 57], "necessari": [3, 4, 9, 13, 17, 24, 29, 31, 33, 37, 53, 55, 57, 59, 62, 64, 67, 71], "nicola": [3, 17, 77], "tabareau": [3, 17, 77], "glu": 3, "A": [3, 4, 5, 7, 9, 10, 11, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76, 77], "x1": [3, 9, 13, 17, 27, 42, 54, 57, 59, 60, 72], "t1": [3, 13, 17, 34, 42, 46, 57], "xn": [3, 9, 17, 57], "tn": [3, 13, 17, 57], "carrier": [3, 11, 14, 42, 57], "said": [3, 4, 17, 26, 34, 36, 42, 44, 55, 59, 71], "possibli": [3, 4, 17, 24, 34, 35, 42, 43, 51, 53, 54, 57, 59, 64, 67, 71, 73], "paramet": [3, 4, 5, 7, 8, 13, 14, 17, 24, 25, 28, 29, 34, 37, 40, 41, 42, 43, 44, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 72], "finit": [3, 5, 17, 24, 30, 34], "unord": [3, 17, 57], "set_eq": 3, "satisfi": [3, 4, 5, 11, 13, 14, 17, 30, 34, 35, 54, 55, 59, 64, 67, 71], "convert": [3, 4, 12, 13, 14, 17, 25, 26, 34, 37, 41, 44, 54, 55, 57, 58, 64, 67], "reflex": [3, 5, 6, 11, 13, 17, 24, 27, 34, 36, 51, 54, 57, 59, 60, 62, 64, 66, 67, 71], "symmetri": [3, 17, 24, 34, 44, 57, 60, 64], "transit": [3, 7, 8, 13, 14, 17, 24, 25, 26, 35, 41, 44, 51, 54, 57, 58, 59, 60, 64, 66, 74], "symmetr": [3, 17, 24, 31, 59, 64, 71], "a1": [3, 27, 34, 46, 57, 58, 71], "a2": [3, 27, 34, 58], "covariantli": 3, "r1": [3, 5, 17, 27, 41, 44, 57, 59], "r2": [3, 17, 27, 41, 44, 57, 59], "whenev": [3, 7, 14, 17, 27, 29, 42, 55, 57, 62, 64, 67, 71], "imag": [3, 11, 17, 24, 51, 52, 66], "input": [3, 4, 9, 10, 13, 14, 17, 25, 27, 29, 35, 44, 46, 51, 54, 57, 58, 60, 64, 71, 72, 74, 75], "monoton": [3, 4, 17], "i_": [3, 34, 57], "r_1": 3, "r_2": 3, "notic": [3, 4, 5, 17, 26, 34, 35, 38, 46, 51, 52, 54, 57, 58, 64, 66, 71, 72, 74], "arrow": [3, 4, 14, 17, 52, 57, 60, 64, 67], "reader": [3, 11, 24, 29, 31, 42, 57], "between": [3, 4, 10, 11, 13, 14, 17, 24, 25, 26, 27, 29, 33, 34, 38, 39, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 64, 65, 67, 71, 72, 75], "introduc": [3, 5, 8, 10, 11, 13, 14, 17, 24, 25, 28, 30, 31, 34, 35, 37, 38, 43, 44, 46, 51, 52, 55, 57, 58, 59, 60, 62, 66, 67, 71, 72, 75], "straightforwardli": 3, "ari": [3, 17, 34], "simultan": [3, 17, 24, 25, 26, 30, 32, 34, 42, 53, 57, 58], "everi": [3, 9, 11, 12, 13, 14, 17, 28, 29, 34, 40, 51, 52, 54, 55, 57, 58, 64, 71], "argument": [3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 40, 42, 43, 45, 51, 52, 54, 55, 58, 59, 60, 62, 64, 66, 72, 75], "invers": [3, 11, 17, 24, 25, 31, 58, 60, 64, 72, 77], "t_1": [3, 26, 31, 34, 35], "ldot": [3, 7, 34], "t_n": [3, 26, 34, 66], "union": [3, 13, 17, 54, 59, 66, 77], "append": [3, 17, 29, 35, 43, 53, 54, 66, 75], "binari": [3, 5, 7, 11, 14, 17, 24, 29, 37, 42, 51, 53, 57, 58, 60, 64, 71], "latter": [3, 11, 17, 28, 34, 35, 42, 51, 54, 55, 57, 58, 64, 66, 67, 75], "condit": [3, 4, 9, 11, 17, 24, 25, 30, 50, 53, 59, 60, 63, 64, 66, 67], "s1": [3, 30, 38, 57], "s2": [3, 30], "divis": [3, 11, 17, 24, 25, 57], "rdiv": [3, 5], "le": [3, 5, 13, 14, 17, 24, 27, 42, 46, 52, 55, 57, 64, 67, 77], "usual": [3, 8, 9, 12, 17, 25, 26, 27, 28, 30, 34, 35, 37, 40, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "leibniz": [3, 5, 7, 11, 13, 17, 24, 25, 27, 35, 40, 57, 58, 67], "unfortun": [3, 5, 17, 42, 46, 57], "intend": [3, 17, 24, 28, 32, 39, 51, 57, 64, 66, 71], "next": [3, 9, 13, 17, 24, 27, 29, 33, 34, 42, 44, 46, 51, 52, 54, 55, 57, 60, 64, 65, 66, 67, 71], "section": [3, 5, 6, 7, 8, 9, 10, 11, 12, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 67, 71, 74], "deal": [3, 5, 8, 13, 17, 24, 25, 42, 46, 57, 60, 64, 71, 72], "exact": [3, 12, 14, 17, 24, 25, 35, 40, 43, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71], "goal": [3, 6, 7, 8, 9, 12, 13, 14, 17, 24, 25, 27, 29, 31, 34, 35, 36, 37, 38, 42, 43, 44, 52, 53, 59, 60, 61, 62, 64, 71, 72, 74], "howev": [3, 4, 5, 9, 12, 13, 14, 17, 24, 27, 29, 34, 36, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 72], "verifi": [3, 7, 9, 11, 14, 17, 24, 25, 29, 31, 32, 33, 35, 51, 60, 66], "verif": [3, 24, 25, 32, 66, 67, 77], "consist": [3, 4, 5, 11, 13, 14, 17, 24, 27, 30, 31, 34, 35, 52, 55, 57, 58, 59, 64, 65, 66, 71], "composit": [3, 71], "some": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 71, 72, 73, 75], "obviou": [3, 34, 57, 71], "suppos": [3, 9, 17, 51, 55, 57, 64], "hypothesi": [3, 9, 11, 17, 24, 25, 27, 28, 29, 34, 38, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 75], "h": [3, 4, 6, 9, 11, 12, 13, 14, 17, 24, 27, 34, 40, 44, 46, 51, 54, 55, 57, 58, 62, 64, 66, 67, 72, 75, 77], "These": [3, 11, 13, 14, 17, 24, 25, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 52, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "attribut": [3, 5, 9, 13, 14, 16, 25, 28, 30, 32, 34, 37, 40, 41, 42, 44, 51, 54, 55, 59, 60, 62, 64, 66, 71, 74], "univers": [3, 4, 8, 9, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 39, 40, 44, 46, 51, 54, 57, 59, 62, 66, 67, 71, 77], "add": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 29, 31, 32, 34, 37, 41, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "one_term": [3, 5, 7, 11, 13, 29, 34, 54, 58, 60, 62, 64, 67, 71, 72], "aeq": 3, "\u03b1": [3, 14, 25, 54, 55, 57], "typeabl": 3, "fresh": [3, 14, 17, 24, 25, 31, 34, 53, 57, 58, 64, 66, 67, 71], "intern": [3, 5, 11, 14, 17, 24, 25, 31, 34, 37, 44, 51, 53, 54, 55, 58, 60, 62, 66, 67, 71, 72, 73, 74, 77], "although": [3, 5, 9, 17, 35, 37, 53, 55, 57, 58, 60, 64, 66], "depart": 3, "To": [3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 17, 24, 25, 27, 29, 30, 32, 34, 37, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 74, 75], "eq": [3, 5, 11, 14, 17, 27, 35, 40, 42, 54, 57, 58, 59, 64, 67, 71], "refl_equ": [3, 17, 57], "properti": [3, 4, 6, 9, 11, 12, 13, 17, 24, 25, 26, 27, 30, 31, 32, 34, 38, 39, 42, 45, 46, 57, 58, 67, 72, 77], "deriv": [3, 5, 9, 13, 17, 24, 25, 26, 30, 34, 38, 40, 54, 64, 66, 73], "autorewrit": [3, 17, 24, 60], "abl": [3, 8, 11, 13, 14, 17, 24, 25, 34, 42, 44, 46, 51, 53, 55, 57, 58, 59, 61, 62, 67], "defined": 3, "interact": [3, 6, 10, 13, 17, 24, 25, 32, 33, 37, 38, 40, 42, 43, 52, 59, 65, 66, 67, 71, 75, 76, 77], "denot": [3, 4, 11, 17, 24, 26, 28, 29, 30, 34, 35, 39, 40, 42, 43, 52, 54, 57, 58, 67, 71], "small": [3, 5, 8, 11, 14, 17, 25, 26, 33, 34, 39, 42, 44, 52, 53, 57, 64], "theori": [3, 4, 5, 11, 17, 24, 25, 26, 27, 28, 29, 39, 42, 46, 51, 53, 57, 58, 60, 62, 67, 71, 77], "homogen": [3, 17], "export": [3, 5, 9, 11, 13, 17, 24, 29, 35, 38, 51, 52, 54, 55, 59, 60, 71], "relation_definit": [3, 13, 17, 42, 59], "eq_set": 3, "axiom": [3, 6, 7, 9, 10, 11, 12, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74], "eq_set_refl": 3, "eq_set_sym": 3, "eq_set_tran": 3, "empty_neutr": 3, "union_compat": 3, "eq_set_rel": 3, "eq_set_rel_rel": 3, "eq_set_rel_reflex": 3, "eq_set_rel_symmetr": 3, "eq_set_rel_transit": 3, "union_mor": 3, "x0": [3, 13, 17, 37, 43, 44, 54, 66, 71], "y0": [3, 13, 43], "No": [3, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 30, 34, 35, 36, 40, 42, 44, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74], "qed": [3, 5, 6, 8, 9, 12, 13, 14, 17, 24, 29, 32, 34, 36, 38, 40, 42, 51, 52, 54, 57, 58, 59, 60, 62, 64, 66, 67, 72], "reduc": [3, 7, 8, 10, 11, 12, 13, 17, 24, 26, 31, 32, 34, 36, 37, 40, 41, 44, 51, 53, 57, 58, 59, 60, 64, 66, 67, 71], "burden": [3, 63], "maxim": [3, 13, 17, 25, 41, 51, 57, 71, 77], "insert": [3, 4, 9, 12, 13, 17, 24, 25, 29, 41, 46, 52, 53, 55, 57, 66, 71, 75], "write": [3, 4, 8, 11, 13, 14, 17, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 39, 43, 51, 53, 54, 55, 57, 58, 59, 63, 66, 67, 71, 73, 75], "proce": [3, 11, 13, 52, 57, 71], "simpl": [3, 4, 10, 11, 17, 24, 25, 29, 37, 41, 42, 43, 46, 52, 53, 54, 57, 58, 59, 60, 62, 67, 72], "step": [3, 5, 7, 11, 13, 17, 24, 25, 26, 29, 41, 51, 52, 53, 54, 58, 60, 64, 65, 67], "applic": [3, 5, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 35, 36, 37, 41, 46, 52, 55, 57, 59, 60, 64, 66, 67, 71, 72, 77], "establish": [3, 17, 57], "intro": [3, 5, 11, 12, 13, 17, 24, 25, 34, 42, 43, 44, 52, 54, 55, 60, 62, 64, 66, 67, 71, 72], "manag": [3, 13, 17, 24, 25, 32, 38, 51, 53, 57, 59, 60, 62, 73], "hypothes": [3, 5, 9, 13, 17, 24, 25, 28, 32, 34, 51, 57, 60, 62, 64, 67, 71], "One": [3, 8, 9, 13, 14, 17, 25, 31, 32, 34, 37, 38, 39, 44, 51, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "cmd": [3, 17, 38, 51, 52, 54], "exist": [3, 4, 5, 9, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74], "outsid": [3, 5, 9, 11, 12, 13, 14, 17, 28, 29, 35, 38, 40, 41, 42, 43, 53, 54, 59, 60, 66, 71], "suffix": [3, 17, 35, 51, 52, 53, 54, 57, 59, 71, 75], "_morphism": 3, "modifi": [3, 4, 8, 11, 13, 14, 17, 24, 25, 29, 36, 38, 41, 51, 52, 54, 55, 57, 58, 64, 66, 67, 71], "themselv": [3, 13, 14, 17, 26, 35, 37, 39, 41, 42, 53, 57, 59, 64, 71], "exploit": [3, 17, 24, 57, 67], "monotoni": 3, "hand": [3, 10, 12, 13, 17, 25, 27, 29, 33, 35, 52, 53, 54, 55, 57, 58, 64, 67, 71, 72], "partial": [3, 13, 17, 24, 34, 35, 37, 44, 51, 53, 54, 57, 59, 62, 66, 71, 72], "domain": [3, 5, 11, 14, 17, 24, 25, 26, 34, 42, 61, 64, 71], "compris": [3, 24], "eqo": 3, "smallest": [3, 5, 27, 34, 67], "nonzero": [3, 11, 37, 54], "eq0": 3, "open": [3, 5, 6, 11, 13, 17, 25, 27, 35, 36, 38, 50, 52, 54, 55, 57, 59, 60, 64, 66], "addit": [3, 4, 5, 8, 9, 13, 17, 24, 25, 27, 29, 31, 34, 35, 39, 51, 52, 53, 54, 55, 58, 59, 62, 64, 65, 66, 67, 71, 72, 73], "up": [3, 8, 13, 17, 24, 25, 26, 31, 34, 35, 38, 42, 43, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 75], "longer": [3, 9, 17, 24, 31, 34, 38, 44, 52, 53, 58, 66, 67, 71], "posit": [3, 4, 5, 7, 9, 10, 11, 14, 17, 24, 25, 30, 36, 37, 39, 41, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "z": [3, 5, 7, 11, 13, 14, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 44, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "lt": [3, 9, 13, 17, 27, 42, 71, 72], "increas": [3, 5, 8, 17, 24, 53, 57, 62], "decreas": [3, 7, 9, 17, 30, 34, 55, 59, 72], "dualli": [3, 44, 57], "hold": [3, 4, 17, 30, 34, 35, 40, 42, 55, 58, 75], "On": [3, 10, 12, 17, 24, 27, 30, 32, 37, 40, 44, 46, 51, 52, 53, 54, 57, 58, 64, 71], "contrari": [3, 4, 9, 13, 17, 30, 40, 44, 57, 67], "messag": [3, 4, 8, 11, 12, 13, 14, 16, 17, 24, 26, 28, 29, 30, 34, 35, 37, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "rewritten": [3, 9, 11, 24, 30, 46, 57, 58, 64], "compos": [3, 4, 34, 44, 57, 67, 71], "propag": [3, 11, 17, 41], "varianc": [3, 17], "annot": [3, 9, 14, 17, 24, 25, 27, 34, 41, 42, 45, 51, 53, 55, 57, 66], "switch": [3, 8, 13, 14, 17, 24, 25, 51, 53, 66], "travers": [3, 17, 57, 58, 67], "detail": [3, 5, 7, 14, 25, 31, 36, 37, 41, 42, 51, 52, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "contravariantli": 3, "differ": [3, 4, 9, 11, 13, 14, 15, 17, 24, 25, 26, 29, 31, 34, 35, 37, 38, 41, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 72, 73, 75, 77], "duplic": [3, 11, 17, 43, 57, 67, 71], "multiset_eq": 3, "repeat": [3, 17, 25, 43, 44, 52, 55, 57, 58, 59, 66, 67], "request": [3, 14, 17, 25, 43, 51, 64], "unclear": [3, 10, 54], "analog": [3, 17, 34, 54, 57, 58, 66], "crelat": 3, "cmorphism": [3, 17], "cequival": 3, "rewriterel": [3, 17, 57], "index": [3, 13, 17, 24, 25, 26, 27, 29, 39, 40, 44, 52, 58, 60, 64, 66, 67, 73, 75], "iff": [3, 17, 26, 27, 31, 57, 59, 71], "impl": [3, 5, 59], "flip": [3, 17], "pointwis": 3, "simpli": [3, 4, 11, 13, 14, 17, 24, 31, 39, 54, 55, 57, 59, 62, 67, 71, 75], "machineri": [3, 17, 57], "infer": [3, 4, 9, 10, 13, 14, 24, 25, 26, 34, 37, 40, 41, 42, 45, 46, 51, 57, 58, 60, 62, 67, 71], "face": [3, 17, 75], "situat": [3, 4, 11, 17, 46, 54, 57, 71], "instanti": [3, 10, 13, 14, 17, 24, 34, 35, 43, 44, 54, 55, 57, 58, 60, 62, 67, 71], "discharg": [3, 14, 17, 24, 25, 28, 38, 72], "That": [3, 27, 29, 30, 34, 36, 52, 54, 55, 58, 64, 66], "variou": [3, 16, 17, 24, 25, 28, 29, 34, 44, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 71], "hint": [3, 13, 14, 17, 24, 25, 27, 35, 38, 54, 62, 64, 75], "databas": [3, 13, 17, 25, 54, 57, 62, 64], "refl": [3, 17], "sym": [3, 17, 44], "tran": [3, 17], "id": [3, 4, 9, 10, 14, 17, 24, 26, 34, 35, 42, 44, 51, 52, 53, 54, 55, 57, 58, 64, 66, 71, 75], "equivalence_reflex": [3, 59], "equivalence_symmetr": [3, 59], "equivalence_transit": 3, "amount": [3, 5, 8, 14, 17, 51, 54, 58], "relationclass": [3, 17, 64], "further": [3, 17, 30, 35, 41, 51, 52, 54, 55, 57, 64, 66, 67, 71], "explan": [3, 13, 37, 45, 51, 58, 59, 67], "encod": [3, 13, 17, 24, 25, 27, 34, 53, 71, 75], "car": 3, "eq_rel": 3, "eq_rel_rel": 3, "eq_rel_reflex": 3, "eq_rel_symmetr": 3, "eq_rel_transit": 3, "x2": [3, 27, 42, 59, 60, 72], "apply_mor": 3, "setoid_": [3, 17], "moreov": [3, 5, 17, 28, 44, 46, 51, 52, 57, 62, 71], "unprefix": 3, "fall": [3, 9, 10, 13, 24, 53], "back": [3, 9, 14, 17, 24, 51, 52, 54, 57, 59, 66, 67], "involv": [3, 4, 9, 12, 17, 24, 25, 26, 34, 41, 42, 51, 52, 53, 54, 57, 59, 60, 62, 64, 67], "pass": [3, 5, 8, 10, 12, 17, 24, 37, 38, 42, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 75], "etransit": [3, 17, 43, 64], "one_term_with_bind": [3, 58, 64, 67, 72], "rewrite_occ": [3, 64], "int_or_var": [3, 54, 66, 71], "ltac_expr3": [3, 29, 54, 58, 64, 66], "defaultrel": 3, "By": [3, 4, 5, 11, 12, 13, 14, 17, 29, 37, 44, 46, 51, 53, 54, 55, 57, 60, 64, 66, 67, 71], "recent": [3, 24, 25, 53, 71], "environ": [3, 9, 11, 12, 13, 14, 17, 24, 25, 26, 28, 30, 31, 32, 34, 35, 38, 42, 43, 52, 53, 55, 57, 60, 62, 64, 66, 67, 71, 72, 75], "simul": [3, 17, 24, 57, 66], "understand": [3, 5, 10, 12, 15, 17, 24, 25, 29, 33, 51, 53, 54, 55, 59, 60], "congruenc": [3, 12, 17, 24, 25, 34, 54, 62, 64, 67], "pack": [3, 42, 53], "slightli": [3, 17, 24, 35, 51, 52, 54, 55, 57, 58, 67], "permut": [3, 17, 25, 55, 57], "bi": 3, "implic": [3, 17, 26, 27, 28, 42, 54, 57, 60, 66, 67, 71], "port": [3, 17, 24, 55, 72], "semant": [3, 11, 13, 14, 17, 24, 25, 26, 29, 35, 36, 39, 41, 44, 53, 54, 57, 58, 71, 77], "limit": [3, 5, 8, 9, 10, 13, 14, 17, 24, 29, 35, 41, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 71, 72], "lift": [3, 12, 14, 17], "were": [3, 11, 13, 17, 24, 34, 35, 36, 38, 42, 44, 51, 53, 54, 55, 59, 60, 66, 71, 72, 75], "discuss": [3, 17, 24, 25, 54], "setoid_rewrit": [3, 17, 24, 60, 64], "head": [3, 10, 13, 14, 17, 24, 26, 30, 35, 41, 42, 44, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71], "constr": [3, 5, 14, 17, 24, 34, 42, 54, 55, 57, 71], "bind": [3, 9, 10, 14, 17, 24, 25, 28, 32, 34, 35, 37, 40, 43, 44, 46, 51, 54, 57, 64, 66, 67, 72], "construct": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 27, 28, 29, 30, 31, 33, 35, 41, 42, 43, 46, 52, 53, 55, 57, 58, 62, 63, 64, 65, 66, 67, 71, 77], "ex": [3, 17, 24, 27, 44, 58, 67, 71], "existenti": [3, 6, 9, 10, 13, 17, 24, 25, 26, 34, 41, 45, 54, 58, 59, 60, 64, 66, 67], "morphisms_prop": [3, 17], "all_iff_morph": 3, "pointwise_rel": 3, "simpl_rel": [3, 17], "predic": [3, 9, 17, 24, 25, 26, 27, 30, 34, 40, 42, 54, 60, 64, 77], "onc": [3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 32, 34, 41, 42, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72], "implicitli": [3, 13, 14, 17, 24, 34, 51, 55, 59, 60, 64], "inde": [3, 4, 11, 12, 13, 14, 17, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "surround": [3, 17, 44, 57, 59, 71], "whatev": [3, 44, 64, 75], "map_morph": 3, "eqa": [3, 13], "eqb": [3, 5, 13, 17, 36, 59], "list_equiv": 3, "parameter": [3, 5, 11, 14, 17, 24, 25, 28, 37, 40, 54], "captur": [3, 17, 34, 44, 57, 64, 71], "bound": [3, 5, 6, 7, 10, 14, 17, 24, 25, 26, 28, 31, 32, 34, 39, 41, 42, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 72], "With": [3, 4, 13, 14, 17, 46, 53, 57, 58, 67, 71], "subterm": [3, 9, 10, 11, 17, 24, 25, 31, 34, 41, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72], "almost": [3, 17, 57, 67, 75], "recov": [3, 8, 14, 17, 30, 46, 51, 54, 67], "smaller": [3, 11, 14, 17, 32, 33, 34, 53, 58, 62, 67, 72], "dual": [3, 9, 24, 55], "why": [3, 11, 17, 34, 37, 43, 55], "conjunct": [3, 5, 11, 17, 24, 34, 57, 59, 60, 67, 71], "suffici": [3, 5, 11, 13, 53], "aris": [3, 9, 13, 17, 30, 67, 71], "through": [3, 4, 12, 17, 24, 28, 29, 30, 32, 34, 35, 36, 37, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72, 73, 74], "prime": [3, 17, 29, 34, 57], "space": [3, 17, 29, 52, 53, 57, 59, 66, 71, 74, 75], "rewrite_strat": [3, 17], "rule": [3, 4, 5, 11, 12, 13, 14, 17, 24, 25, 29, 32, 33, 35, 36, 37, 39, 41, 42, 44, 46, 51, 53, 54, 55, 58, 59, 60, 62, 66, 67, 77], "slow": [3, 11, 17, 53, 54, 55], "down": [3, 14, 24, 25, 45, 51, 52, 54, 55, 57, 59], "wherea": [3, 17, 29, 54, 55, 57, 58, 62, 74], "opaqu": [3, 6, 8, 9, 14, 17, 24, 25, 31, 32, 35, 38, 51, 57, 59, 60, 64, 66, 67, 71, 75], "caus": [3, 8, 12, 14, 17, 32, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 71, 75], "miss": [3, 5, 10, 13, 17, 24, 35, 43, 51, 52, 55, 57, 58, 62, 64, 71, 75], "configur": [3, 8, 17, 24, 25, 29, 40, 51, 52, 59, 64, 66, 73], "transpar": [3, 4, 6, 9, 14, 17, 24, 25, 31, 32, 35, 37, 41, 51, 54, 55, 57, 59, 60, 64, 66, 67, 75], "unif": [3, 10, 13, 17, 24, 25, 37, 40, 42, 43, 54, 60, 64, 71], "eauto": [3, 17, 25, 43, 54, 57, 60], "individu": [3, 17, 53, 55, 64, 67, 71], "double_f": 3, "unifi": [3, 12, 13, 14, 17, 34, 41, 42, 43, 54, 57, 58, 64, 66], "assert_succe": [3, 17, 25], "bottomup": 3, "hide": [3, 17, 25, 34, 41, 44, 57, 58, 66, 71], "side": [3, 10, 13, 14, 17, 24, 25, 27, 32, 34, 35, 38, 43, 52, 54, 55, 57, 58, 60, 62, 64, 67, 71], "behind": [3, 4, 17, 28, 34, 57], "assert_fail": [3, 17, 25], "disallow": [3, 12, 14, 17, 37, 51], "substitut": [3, 10, 11, 17, 24, 25, 26, 34, 38, 46, 51, 55, 57, 58, 64, 67, 71], "distinct": [3, 9, 13, 17, 26, 34, 42, 44, 46, 53, 54, 55, 57, 60, 64, 67, 71], "eq_refl": [3, 5, 9, 11, 12, 13, 14, 17, 27, 40, 64, 66, 67, 71], "resolv": [3, 9, 13, 14, 17, 35, 43, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71], "treat": [3, 9, 12, 13, 17, 29, 46, 53, 54, 57, 59, 60, 62, 64, 67, 71, 72], "lot": [3, 11, 17, 24, 52, 55], "tri": [3, 4, 5, 9, 13, 14, 17, 34, 35, 41, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 66, 67], "speed": [3, 13, 17, 24, 34, 64], "abbrevi": [3, 4, 5, 13, 14, 17, 24, 25, 27, 32, 35, 38, 59, 74], "typeclass_inst": [3, 13, 17, 60], "strat": 3, "rewstrategi": [3, 17], "conclus": [3, 11, 13, 17, 24, 28, 34, 54, 55, 57, 58, 60, 64, 66, 67, 71], "noth": [3, 17, 38, 41, 51, 54, 55, 57, 58, 62, 64, 66, 67], "didn": [3, 17, 51, 53], "progress": [3, 17, 24, 25, 51, 52, 55, 60, 66, 77], "succeed": [3, 17, 54, 59, 72], "unabl": [3, 14, 34, 43, 46, 53, 57, 58, 59, 66, 67], "basic": [3, 9, 11, 17, 24, 25, 32, 33, 34, 35, 37, 40, 42, 44, 46, 51, 58, 59, 60, 63, 66, 67, 73], "db": [3, 17], "topdown": 3, "creat": [3, 8, 9, 13, 17, 24, 25, 29, 34, 38, 40, 42, 51, 52, 53, 54, 57, 58, 59, 64, 66, 67, 72, 75], "procedur": [3, 4, 11, 17, 24, 25, 54, 57, 60, 62, 64, 77], "programm": [3, 24, 25, 65], "visser": [3, 77], "et": [3, 24, 77], "al": [3, 57], "lv97": [3, 77], "vbt98": [3, 77], "stratego": [3, 77], "transform": [3, 4, 11, 17, 29, 57, 58, 66, 67, 77], "languag": [3, 9, 11, 14, 26, 29, 36, 37, 39, 40, 41, 46, 53, 54, 63, 64, 65, 66, 74, 75, 77], "vis01": [3, 77], "rewstrategy1": [3, 17], "choic": [3, 17, 27, 34, 51, 52, 55, 62, 71, 75], "rewstrategy0": 3, "eval": [3, 5, 12, 14, 17, 24, 25, 29, 30, 31, 32, 35, 37, 42, 52, 53, 55, 59], "red_expr": [3, 17, 32, 54, 64], "fold": [3, 17, 37, 57], "failur": [3, 8, 13, 14, 17, 24, 25, 46, 53, 55, 57, 59, 60, 62, 64, 71, 77], "catch": [3, 17, 25, 42, 46, 57], "zero": [3, 7, 11, 17, 26, 27, 37, 42, 46, 53, 54, 55, 58, 59, 60, 64], "nest": [3, 9, 17, 24, 25, 29, 32, 35, 38, 40, 54, 57, 58, 59, 64, 66, 71, 75], "andbc": [3, 57], "bottom": [3, 17, 37, 46, 52, 54, 55, 58, 64, 71], "top": [3, 8, 10, 12, 13, 14, 17, 24, 25, 29, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71, 73, 75], "oper": [3, 5, 9, 10, 11, 14, 17, 24, 25, 27, 32, 34, 36, 51, 52, 54, 55, 57, 60, 64, 66, 67, 71], "texttt": 3, "conceptu": [3, 34], "straightforward": [3, 55], "root": [3, 17, 25, 27, 46, 51, 59], "iter": [3, 5, 13, 17, 25, 26, 28, 30, 71], "consider": [3, 9, 17, 37, 39, 46, 64, 67, 71], "stop": [3, 5, 12, 17, 24, 32, 38, 52, 54, 57, 71], "Their": [3, 17, 32, 34, 39, 55, 57, 59, 71], "mani": [3, 11, 13, 14, 17, 24, 25, 27, 29, 33, 34, 35, 39, 42, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 73], "stronger": [3, 12, 17, 34], "interpret": [3, 5, 9, 11, 13, 17, 24, 25, 27, 29, 32, 34, 35, 41, 44, 51, 52, 53, 54, 55, 59, 75], "ssrbool": [3, 17, 57], "ssrmatch": [3, 17, 57], "scope": [3, 5, 11, 17, 24, 25, 27, 29, 32, 36, 38, 43, 45, 52, 54, 55, 57, 59, 60, 64, 66], "bool_scop": [3, 17, 41, 71], "abort": [3, 11, 17, 34, 42, 44, 54, 55, 57, 64, 66, 67], "amokran": [4, 24], "sa\u00efbi": [4, 24], "prover": [4, 5, 15, 17, 24, 26, 29, 31, 33, 52, 55, 59, 65, 73, 75, 76], "power": [4, 5, 11, 17, 24, 54, 57, 67, 71, 72], "our": [4, 5, 7, 11, 17, 24, 34, 35, 54], "determin": [4, 13, 17, 31, 34, 36, 40, 41, 43, 53, 54, 57, 58, 64, 66, 67, 71, 72, 75], "appropri": [4, 13, 14, 17, 29, 53, 55, 57, 59, 62, 64, 66, 67, 75], "sens": [4, 24, 26, 30, 54, 55, 57, 71], "subtyp": [4, 9, 14, 17, 25, 31, 35, 39, 77], "certain": [4, 11, 17, 24, 29, 44, 46, 51, 54, 57, 58, 59, 64, 67, 71], "categori": [4, 8, 13, 17, 35, 51, 59, 61, 74, 75], "biject": [4, 17], "morphism": [4, 11, 17, 25, 59, 71], "famili": [4, 14, 17, 24, 25, 34, 40, 54, 55, 63, 67, 71], "coercion_class": [4, 71], "user": [4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 25, 29, 32, 33, 34, 35, 36, 37, 39, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76, 77], "sortclass": [4, 17, 57, 71], "funclass": [4, 17, 41, 71], "formal": [4, 6, 10, 17, 24, 25, 26, 29, 31, 32, 34, 37, 39, 41, 51, 55, 57, 67, 77], "don": [4, 10, 13, 14, 17, 28, 34, 35, 37, 46, 52, 53, 54, 57, 58, 60, 62, 64, 66], "confus": [4, 10, 13, 17, 24, 26, 29, 34, 44, 46, 52, 55, 57, 71], "target": [4, 11, 17, 25, 51, 58, 71], "x\u2081": 4, "a\u2081": 4, "x\u2096": 4, "a\u2096": 4, "v\u2081": 4, "v\u2099": [4, 55], "u\u2081": 4, "u\u2098": 4, "new": [4, 5, 6, 8, 10, 13, 14, 15, 25, 27, 29, 31, 32, 34, 36, 37, 39, 42, 43, 46, 51, 52, 54, 55, 58, 59, 60, 61, 64, 66, 67, 71, 72, 73, 75, 77], "ignor": [4, 13, 14, 17, 24, 29, 31, 34, 35, 44, 51, 52, 53, 54, 57, 58, 60, 64, 66, 71], "exactli": [4, 10, 11, 13, 17, 26, 27, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 66, 67, 71], "uniform": [4, 17, 24, 34, 40, 44, 54, 55], "recommend": [4, 8, 13, 14, 15, 17, 32, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 72, 74, 75], "guarante": [4, 14, 17, 51, 52, 53, 55], "spuriou": [4, 17, 57, 71], "coerc": [4, 41, 57, 60, 64], "t\u2081": 4, "t\u2099": 4, "toward": [4, 17, 53], "intuit": [4, 11, 17, 24, 29, 55, 58, 62], "synthes": [4, 17, 24, 27, 28, 42, 46, 77], "precis": [4, 8, 13, 17, 24, 26, 29, 31, 33, 34, 35, 37, 39, 46, 51, 57, 64, 71], "doesn": [4, 14, 17, 29, 31, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 66, 67, 71, 73], "look": [4, 8, 9, 11, 13, 14, 16, 17, 25, 51, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72, 75], "incom": [4, 17], "necessarili": [4, 46, 67, 72], "semi": [4, 11, 17], "lattic": 4, "forget": [4, 11, 37, 55, 59, 60, 67], "harder": [4, 17, 58], "There": [4, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 34, 37, 38, 39, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 75], "subclass": [4, 10, 13, 27, 39, 42, 59], "oldest": [4, 17], "notat": [4, 5, 9, 10, 11, 14, 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66], "maintain": [9, 13, 17, 39, 46, 51, 53, 57, 58, 71], "permit": [9, 17, 24, 25, 34, 37, 38, 53, 54, 55, 58, 60, 64, 66, 67, 71], "coercion": [9, 13, 17, 24, 25, 28, 35, 37, 38, 41, 42, 45, 57, 58, 59, 77], "russel": [9, 17, 24], "process": [9, 11, 14, 17, 24, 25, 26, 30, 32, 35, 41, 42, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 75, 76], "plain": [9, 17, 35, 57, 75], "apart": [9, 13, 31, 35, 55], "proper": [9, 17, 24, 25, 54, 55, 59, 67], "claus": [9, 13, 14, 17, 24, 25, 28, 29, 30, 32, 34, 35, 40, 41, 51, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71, 72], "disequ": [9, 60], "intersect": 9, "div2": [9, 17, 72], "coercibl": [9, 57], "deactiv": [9, 17, 24, 25, 46, 59], "mode": [9, 13, 14, 17, 24, 25, 29, 30, 32, 34, 38, 41, 46, 51, 54, 58, 59, 60, 65, 75], "typecheck": [9, 17, 41, 51, 55, 58, 59, 64, 66], "act": [9, 17, 37, 46, 52, 54, 55, 67], "unresolv": [9, 13, 17, 57, 58, 60, 64, 67], "hole": [9, 13, 17, 24, 25, 40, 43, 46, 55, 57, 58, 59, 62, 66, 67, 71], "commonli": [9, 14, 17, 27, 40, 53, 54, 55, 57, 58, 66], "legaci": [9, 14, 17, 29, 40, 51, 60, 71, 72], "legacy_attr": [9, 14, 29, 35, 40], "elsewher": [9, 17, 52, 59, 71], "likewis": [9, 17, 55], "reflect": [9, 11, 14, 17, 24, 25, 40, 52, 53, 62, 64, 66, 72, 77], "dec": [9, 24, 46], "sumbool_of_bool": [9, 59], "pred": [9, 17, 27, 54, 57, 59, 60, 64], "tupl": [9, 17, 37, 42, 46, 55, 57, 58], "potenti": [9, 13, 25, 42, 46, 52, 54, 55, 57, 67, 71], "preterm": [9, 17, 55], "aforement": [9, 51], "monomorph": [9, 17, 25, 29], "absenc": [9, 17, 71], "enforc": [9, 12, 14, 17, 26, 32, 34, 44, 55, 57, 58, 66, 71], "mutual": [9, 17, 24, 25, 29, 30, 32, 37, 54, 55, 67, 71, 72], "fixannot": [9, 34, 72], "measur": [9, 17, 34, 54, 72], "div2_obligation_1": 9, "heq_n": 9, "proj1_sig": [9, 17, 46, 57], "div3": 9, "p0": [9, 31, 67, 72], "heq_n0": 9, "wildcard": [9, 13, 25, 28], "program_branch_0": [9, 13], "div2_obligation_2": 9, "program_branch_1": [9, 13], "div2_obligation_3": 9, "well_found": [9, 27], "mr": 9, "recarg": 9, "pars": [9, 17, 25, 27, 29, 41, 42, 46, 51, 54, 57, 59, 60, 74, 75], "explicit": [9, 10, 13, 17, 24, 25, 28, 31, 34, 37, 39, 41, 46, 55, 58, 60, 64, 66, 67, 71], "prototyp": [9, 17, 24], "guarded": [9, 66], "rid": [9, 17, 54, 57], "unsolv": [9, 17, 43, 66], "afterward": [9, 17, 41, 44, 52, 57, 60, 66, 67], "similarli": [9, 10, 13, 14, 17, 26, 28, 36, 38, 42, 44, 46, 52, 53, 54, 55, 57, 62, 64, 71, 75], "persist": [9, 17, 24, 29, 35, 36, 38, 64, 77], "reappli": 9, "addition": [9, 13, 14, 17, 34, 46, 53, 54, 58, 59, 64, 66], "solver": [9, 17, 25, 65], "fed": [9, 17, 55], "program_simpl": 9, "wrap": [9, 12, 13, 17, 36, 38, 53], "reject": [9, 17, 26, 34, 57, 64, 67, 71], "wellfound": [9, 17], "drawback": [9, 17, 67, 71], "underli": [9, 11, 17, 24, 26, 54, 57, 67, 71], "isn": [9, 10, 17, 28, 52, 57, 58, 60, 64, 66, 67], "anymor": [9, 17, 55, 59], "highli": [10, 43, 60, 63], "mistyp": 10, "anomali": [10, 17, 24, 59], "unlik": [10, 13, 17, 24, 30, 39, 52, 54, 55, 57, 58, 59, 60, 64, 67, 71], "pplu": 10, "rewrite_rul": 10, "univ_decl": [10, 14, 28, 35], "rw_pattern": 10, "namespac": [10, 14, 17, 35, 42, 53, 59], "against": [10, 13, 17, 44, 54, 57, 58, 59, 60, 62], "align": [10, 59, 71], "collect": [10, 17, 27, 51, 53, 60, 66, 72], "pplus_rewrit": 10, "rigid": [10, 13, 14, 17, 24, 60, 72], "enough": [10, 11, 14, 17, 34, 44, 57, 58, 67, 71], "discrimine": [10, 12, 46], "furthermor": [10, 17, 24, 25, 26, 29, 31, 33, 34, 51, 52, 55, 57, 63, 66], "grammar": [10, 17, 25, 28, 29, 54, 55, 57, 58, 62, 71], "rw_head_pattern": 10, "elimin": [10, 12, 14, 17, 24, 25, 26, 27, 30, 31, 34, 35, 37, 40, 54, 55, 58, 67, 71, 72, 77], "rw_pattern_arg": 10, "univ_annot": [10, 14, 29, 37], "bear": 10, "raise_nat": 10, "93": [10, 53, 54], "118": 10, "break": [10, 12, 17, 28, 29, 30, 52, 57, 59, 64, 66, 71, 73, 74], "subject": [10, 17, 25, 26, 30, 31, 50, 51, 72], "22": [10, 12, 54, 57], "u0": [10, 14, 46], "sr": 10, "id_rew": 10, "qualiti": [10, 14, 17], "u1": [10, 13, 14, 17, 57], "u2": 10, "superfici": 10, "typed": [10, 55], "entir": [10, 13, 17, 24, 25, 31, 33, 34, 41, 44, 52, 53, 57, 60, 64, 66, 71], "neither": [10, 14, 17, 46, 54, 55, 57, 64, 67], "nor": [10, 11, 17, 26, 34, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71], "plan": [10, 17, 25, 53, 55, 72], "triangl": [10, 52], "criterion": [10, 17, 33, 34, 60], "ctw21": [10, 77], "expans": [10, 12, 13, 17, 25, 34, 53, 55, 57, 64, 71], "contract": [10, 17, 24, 31, 34, 54, 62, 71, 77], "integr": [10, 11, 17, 24, 25, 51, 52, 57, 61, 73], "upper": [10, 14, 17, 39, 44, 52], "layer": [10, 17, 25], "notabl": [10, 17, 24, 37, 51, 55, 57, 64, 67], "machin": [10, 17, 24, 25, 32, 36, 51, 54, 55, 64], "cbn": [10, 17, 41, 64], "cbv": [10, 14, 17, 24, 31, 57, 64], "manner": [10, 24, 51], "untyp": [10, 17, 25, 55, 71], "vm": [10, 17, 58, 59, 64], "risk": [10, 17, 24, 51, 59, 66], "segfault": [10, 17], "\u03b2\u03b4\u03b9": 11, "rightarrow_": [11, 37], "delta": [11, 17, 24, 32, 35, 37, 55, 64], "leftarrow_": 11, "peeval": 11, 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52, 66], "arithr": 11, "zarithr": 11, "narithr": [11, 17], "narith": [11, 17], "zifi": [11, 17, 25, 29, 54, 55, 57, 60], "micromega": [11, 17, 25, 29, 54, 55, 57, 60, 61, 66], "btauto": [11, 17, 29, 57, 62], "30": [11, 17, 24, 27, 71], "Not": [11, 17, 32, 44, 51, 52, 54, 55, 58, 64, 67, 72, 75, 77], "ring_simplifi": [11, 17], "invok": [11, 17, 34, 51, 53, 60, 66, 67, 75], "lookup": 11, "ltac_expr0": [11, 54], "protect": [11, 17, 30, 57], "fv": 11, "ring_theori": 11, "semi_ring_theori": 11, "mk_rt": 11, "radd_0_l": 11, "radd_sym": 11, "radd_assoc": 11, "rmul_1_l": 11, "rmul_sym": 11, "rmul_assoc": 11, "rdistr_l": 11, "rsub_def": 11, "ropp_def": 11, "mk_srt": 11, "sradd_0_l": 11, "sradd_sym": 11, "sradd_assoc": 11, "srmul_1_l": 11, "srmul_0_l": 11, "srmul_sym": 11, "srmul_assoc": 11, "srdistr_l": 11, "surject": [11, 37], "ring_morph": 11, "mkmorph": 11, "morph0": 11, "morph1": 11, "ci": [11, 17, 53, 57, 73], "morph_add": 11, "morph_sub": 11, "morph_mul": 11, "morph_opp": 11, "morph_eq": 11, "semi_morph": 11, "mkrmorph": 11, "smorph0": 11, "smorph1": 11, "smorph_add": 11, "smorph_mul": 11, "smorph_eq": 11, "c0": [11, 59], "cpow": 11, "cp_phi": 11, "rpow": 11, "power_theori": 11, "mkpow_th": 11, "rpow_pow_n": 11, "pow_n": 11, "ring_mod": 11, "preprocess": [11, 17], "postprocess": 11, "tailor": 11, "setoid_theori": [11, 17], "ring_eq_ext": 11, "sring_eq_ext": 11, "initialr": 11, "notconst": 11, "nontrivi": [11, 17, 46, 51, 57], "preliminari": 11, "better": [11, 14, 17, 24, 51, 52, 53, 57, 59, 60, 64, 67, 71, 72], "undo": [11, 17, 52, 54, 58, 59, 66], "preprocessor": [11, 24], "expon": [11, 17, 29, 71], "realfield": 11, "minu": [11, 17, 29, 41, 72], "get_sign": 11, "euclidean": [11, 17, 24, 25, 57], "div_theori": 11, "7x": 11, "good": [11, 17, 53, 54, 55, 57, 66], "philosoph": 11, "calculu": [11, 14, 17, 24, 25, 27, 29, 31, 33, 34, 35, 37, 46, 54, 57, 58, 62, 64, 66, 67, 71, 77], "strongli": [11, 15, 17, 34, 35, 44, 53, 54, 57, 59], "advis": [11, 17, 24, 25, 28, 29, 30, 54, 60], "ring_polynom": 11, "pexpr": 11, "pesub": 11, "peopp": 11, "pepow": 11, "pol": 11, "pc": 11, "pinj": 11, "px": [11, 24, 57], "v_i": [11, 31], "big": [11, 14, 17, 57, 59, 71], "pphi_dev_ok": 11, "pe": 11, "npe": 11, "piec": [11, 42, 43, 53, 55, 57], "summar": [11, 51, 57, 66], "diagram": 11, "chosen": [11, 34, 54, 55, 57, 58, 66, 71], "denomin": [11, 17, 37, 71], "neq": 11, "broken": [11, 17, 71], "proven": [11, 17, 52, 58, 64, 66, 67], "rbase": [11, 17, 24], "qcanon": 11, "r_scope": [11, 71], "auto": [11, 13, 14, 17, 24, 29, 34, 41, 44, 51, 52, 54, 57, 58, 59, 60, 62, 66, 67, 72], "h1": [11, 17, 34, 43, 54, 55, 57, 58, 62, 66, 67], "f_1": [11, 34], "f_2": [11, 34], "n_1": [11, 26], "d_1": 11, "n_2": 11, "d_2": 11, "cancel": [11, 38, 41, 57, 66], "field_theori": 11, "semi_field_theori": 11, "semifield": 11, "mk_field": 11, "f_r": 11, "ro": 11, "ri": [11, 17, 51], "radd": 11, "rmul": 11, "rsub": 11, "ropp": 11, "req": 11, "f_1_neq_0": 11, "fdiv_def": 11, "finv_l": 11, "mk_sfield": 11, "sf_sr": 11, "sf_1_neq_0": 11, "sfdiv_def": 11, "sfinv_l": 11, "mk_linear": 11, "num": [11, 17], "denum": 11, "field_mod": 11, "samuel": [11, 17, 24], "boutin": [11, 24, 77], "acdsimpl": 11, "zmult_comm": 11, "eq_ind_r": [11, 27], "z0": [11, 17, 71], "mul_comm": [11, 59], "hundr": [11, 64], "rewrot": [11, 17], "bou97": [11, 77], "later": [11, 17, 25, 31, 32, 43, 44, 50, 53, 55, 57, 58, 66, 67, 71], "patrick": [11, 24], "loiseleur": [11, 24], "interleav": [11, 17, 58], "he": [11, 17, 24, 57], "wrote": [11, 17, 24], "larg": [11, 14, 17, 25, 26, 29, 34, 35, 39, 52, 53, 54, 57, 61, 64, 66, 67, 71, 75], "motiv": [11, 17, 55, 57, 77], "34": [11, 53, 71, 77], "12": [11, 25, 29, 53, 54, 57, 58, 60, 71], "46": [11, 77], "ominu": 11, "v_3": 11, "far": [11, 24, 46, 52, 57, 66, 71], "faster": [11, 17, 24, 51, 58, 59, 62, 64], "free": [11, 17, 24, 26, 34, 44, 52, 54, 55, 57, 58, 62, 64, 71, 75, 77], "difficult": [11, 17, 29, 55, 72], "ultim": 11, "answer": [11, 46, 53], "intens": [11, 17, 24, 64], "classic": [11, 17, 24, 25, 34, 51, 55, 57, 66], "tautologi": [11, 17, 24, 54, 62], "backtrack": [11, 13, 17, 24, 25, 52, 58, 60, 67], "clearli": [11, 24, 71, 74], "significantli": [11, 17, 24, 57, 66], "idea": [11, 17, 34, 42, 54], "suggest": [11, 17, 24, 25, 34, 51, 52, 53, 57, 66], "werner": [11, 17, 24, 77], "coupl": [11, 17, 46, 53, 57, 75], "tool": [11, 14, 25, 29, 51, 52, 53, 54, 57, 59, 66, 71, 72, 75, 77], "model": [11, 17, 24, 57, 77], "trace": [11, 13, 17, 25, 32, 51, 53, 57, 58, 59], "replai": [11, 57], "footnot": [11, 38, 57, 71], "bytecod": [12, 17, 59, 64], "gcst19": [12, 39, 77], "strictprop": [12, 17], "startup": [12, 51, 53, 60], "purpos": [12, 14, 17, 24, 27, 34, 35, 42, 51, 52, 54, 55, 57, 64, 66, 67, 71], "hx": [12, 57, 58], "\u03b7": [12, 17, 25, 30], "tractabl": 12, "cumul": [12, 13, 17, 24, 25, 26, 29, 30, 31, 34, 37, 40, 71], "forbidden": [12, 17, 24, 25], "relev": [12, 17, 24, 28, 30, 32, 34, 40, 46, 51, 53, 54, 57, 58, 64, 66, 71], "world": [12, 17, 24, 55, 57, 77], "escap": [12, 17, 25, 51, 53, 71], "box": [12, 17, 29, 54, 71], "box_rect": 12, "box_ind": 12, "box_rec": 12, "box_sind": 12, "box_irrelev": 12, "squash": [12, 14, 17], "isquash": 12, "isquash_sind": 12, "Or": [12, 17, 41, 53, 58, 71], "sempti": 12, "sempty_rect": 12, "sempty_ind": 12, "sempty_rec": 12, "sempty_sind": 12, "foo_sind": 12, "foo_ind": [12, 17, 57], "sprod": 12, "sfst": 12, "ssnd": 12, "extension": [12, 17, 27, 30, 57], "rbox": 12, "runbox": 12, "ssig": 12, "spr1": 12, "spr2": 12, "trivial": [12, 13, 14, 17, 34, 46, 53, 54, 55, 57, 58, 60, 66, 67], "sunit": 12, "stt": 12, "sunit_rect": 12, "is_tru": [12, 57], "is_true_eq_tru": 12, "eq_true_is_tru": 12, "seq": [12, 13, 30, 46, 55, 57, 67], "srefl": [12, 46], "seq_rect": [12, 46], "seq_ind": [12, 46], "seq_rec": [12, 46], "seq_sind": [12, 46], "hidden_arrow": 12, "stuck": [12, 13, 17], "Such": [12, 30, 35, 42, 44, 53, 55, 59, 71, 75], "around": [12, 17, 24, 29, 46, 52, 53, 55, 57, 58, 59, 64, 67, 71, 75], "ac19": [12, 77], "all_eq": 12, "transport": [12, 17], "timeout": [12, 17, 25, 59, 64], "infinit": [12, 30, 34, 39], "binder": [12, 13, 17, 24, 25, 30, 32, 34, 37, 38, 40, 52, 54, 55, 58, 59, 63, 64, 67, 75], "bug": [12, 17, 24, 52, 54, 66], "incorrectli": [12, 17, 55], "leav": [12, 13, 17, 32, 35, 52, 54, 57, 58, 59, 60, 64, 66, 67], "silent": [12, 14, 17, 24, 29, 51, 53, 59, 66, 72], "repair": [12, 17], "affect": [12, 17, 24, 29, 34, 41, 44, 46, 53, 54, 55, 57, 59, 60, 64, 66, 71], "programmat": 13, "quick": [13, 17, 24, 27, 54, 57, 66, 74], "paper": [13, 24, 42, 54, 57, 72, 77], "so08": [13, 77], "literatur": [13, 34], "class": [13, 17, 24, 25, 27, 28, 35, 39, 42, 44, 57, 59, 60, 62, 64], "classnam": 13, "p1": [13, 17, 37, 57, 67], "pn": [13, 17, 57], "f1": [13, 17, 41, 51, 57, 71], "fm": 13, "um": [13, 57], "instancenam": 13, "qm": 13, "tm": 13, "pi": [13, 17, 52], "ti": [13, 57], "fi": 13, "rise": [13, 24], "ll": [13, 17, 34, 52, 53], "eqdec": [13, 38, 60], "eqb_leibniz": 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"coq:exn.Bad-lemma-for-decidability-of-equality", "Bad lemma for decidability of equality"], [59, 0, 1, "coq:exn.Bad-magic-number", "Bad magic number"], [64, 0, 1, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019", "Bad occurrence number of \u2018qualid\u2019"], [12, 2, 1, "coq:warn.Bad-relevance", "Bad relevance"], [11, 0, 1, "coq:exn.Bad-ring-structure", "Bad ring structure"], [71, 3, 1, "coq:cmd.Bind-Scope", "Bind Scope"], [67, 4, 1, "coq:flag.Boolean-Equality-Schemes", "Boolean Equality Schemes"], [5, 5, 1, "coq:thm.Bound-on-the-ceiling-function", "Bound on the ceiling function"], [66, 0, 1, "coq:exn.Brackets-do-not-support-multi-goal-selectors", "Brackets do not support multi-goal selectors"], [66, 6, 1, "coq:opt.Bullet-Behavior", "Bullet Behavior"], [72, 2, 1, "coq:warn.Cannot-build-functional-inversion-principle", "Cannot build functional inversion principle"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion", "Cannot change \u2018ident\u2019, it is used in conclusion"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019", "Cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019"], [60, 0, 1, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference", "Cannot coerce \u2018qualid\u2019 to an evaluable reference"], [72, 2, 1, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019", "Cannot define graph for \u2018ident\u2019"], [72, 2, 1, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019", "Cannot define principle(s) for \u2018ident\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019", "Cannot find a declared ring structure for equality \u2018term\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019", "Cannot find a declared ring structure over \u2018term\u2019"], [64, 0, 1, "coq:exn.Cannot-find-a-relation-to-rewrite", "Cannot find a relation to rewrite"], [64, 0, 1, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019", "Cannot find any non-recursive equality over \u2018ident\u2019"], [72, 0, 1, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019", "Cannot find induction information on \u2018qualid\u2019"], [72, 0, 1, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019", "Cannot find inversion information for hypothesis \u2018ident\u2019"], [59, 0, 1, "coq:exn.Cannot-find-library-foo-in-loadpath", "Cannot find library foo in loadpath"], [4, 0, 1, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019", "Cannot find the source class of \u2018qualid\u2019"], [4, 0, 1, "coq:exn.Cannot-find-the-target-class", "Cannot find the target class"], [35, 2, 1, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored", "Cannot import local constant, it will be ignored"], [71, 0, 1, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment", "Cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment"], [71, 0, 1, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this number as a value of type \u2018type\u2019"], [71, 0, 1, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this string as a value of type \u2018type\u2019"], [59, 0, 1, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019", "Cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019"], [62, 0, 1, "coq:exn.Cannot-recognize-a-boolean-equality", "Cannot recognize a boolean equality"], [67, 0, 1, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019", "Cannot recognize a statement based on \u2018reference\u2019"], [4, 0, 1, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019", "Cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019"], [64, 0, 1, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference", "Cannot turn [inductive|constructor] into an evaluable reference"], [72, 0, 1, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure", "Cannot use mutual definition with well-founded recursion or measure"], [42, 3, 1, "coq:cmd.Canonical-Structure", "Canonical Structure"], [59, 0, 1, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath", "Can\u2019t find file \u2018ident\u2019 on loadpath"], [67, 4, 1, "coq:flag.Case-Analysis-Schemes", "Case Analysis Schemes"], [5, 5, 1, "coq:thm.Case-split", "Case split"], [40, 0, 1, "coq:exn.Casts-are-not-supported-in-this-pattern", "Casts are not supported in this pattern"], [2, 3, 1, "coq:cmd.Cd", "Cd"], [59, 3, 1, "coq:cmd.Check", "Check"], [13, 3, 1, "coq:cmd.Class", "Class"], [71, 3, 1, "coq:cmd.Close-Scope", "Close Scope"], [30, 3, 1, "coq:cmd.CoFixpoint", "CoFixpoint"], [30, 3, 1, "coq:cmd.CoInductive", "CoInductive"], [4, 3, 1, "coq:cmd.Coercion", "Coercion"], [66, 3, 1, "coq:cmd.Collection", "Collection"], [67, 3, 1, "coq:cmd.Combined-Scheme", "Combined Scheme"], [29, 3, 1, "coq:cmd.Comments", "Comments"], [64, 3, 1, "coq:cmd.Compute", "Compute"], [54, 0, 1, "coq:exn.Condition-not-satisfied", "Condition not satisfied"], [28, 3, 1, "coq:cmd.Conjecture", "Conjecture"], [28, 3, 1, "coq:cmd.Conjectures", "Conjectures"], [14, 3, 1, "coq:cmd.Constraint", "Constraint"], [38, 3, 1, "coq:cmd.Context", "Context"], [44, 4, 1, "coq:flag.Contextual-Implicit", "Contextual Implicit"], [51, 4, 1, "coq:flag.Coqtop-Exit-On-Error", "Coqtop Exit On Error"], [32, 3, 1, "coq:cmd.Corollary", "Corollary"], [60, 3, 1, "coq:cmd.Create-HintDb", "Create HintDb"], [14, 7, 1, "coq:attr.Cumulative", "Cumulative"], [14, 4, 1, "coq:flag.Cumulativity-Weak-Constraints", "Cumulativity Weak Constraints"], [54, 3, 1, "coq:cmd.Debug", "Debug"], [59, 6, 1, "coq:opt.Debug", "Debug"], [60, 4, 1, "coq:flag.Debug-Auto", "Debug Auto"], [60, 4, 1, "coq:flag.Debug-Eauto", "Debug Eauto"], [57, 4, 1, "coq:flag.Debug-SsrMatching", "Debug SsrMatching"], [57, 4, 1, "coq:flag.Debug-Ssreflect", "Debug Ssreflect"], [60, 4, 1, "coq:flag.Debug-Trivial", "Debug Trivial"], [54, 0, 1, "coq:exn.Debug-mode-not-available-in-the-IDE", "Debug mode not available in the IDE"], [67, 4, 1, "coq:flag.Decidable-Equality-Schemes", "Decidable Equality Schemes"], [71, 3, 1, "coq:cmd.Declare-Custom-Entry", "Declare Custom Entry"], [64, 3, 1, "coq:cmd.Declare-Equivalent-Keys", "Declare Equivalent Keys"], [13, 3, 1, "coq:cmd.Declare-Instance", "Declare Instance"], [64, 3, 1, "coq:cmd.Declare-Left-Step", "Declare Left Step"], [59, 3, 1, "coq:cmd.Declare-ML-Module", "Declare ML Module"], [35, 3, 1, "coq:cmd.Declare-Module", "Declare Module"], [3, 3, 1, "coq:cmd.Declare-Morphism", "Declare Morphism"], [64, 3, 1, "coq:cmd.Declare-Reduction", "Declare Reduction"], [64, 3, 1, "coq:cmd.Declare-Right-Step", "Declare Right Step"], [71, 3, 1, "coq:cmd.Declare-Scope", "Declare Scope"], [60, 2, 1, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead", "Declaring arbitrary terms as hints is fragile and deprecated; it is recommended to declare a toplevel constant instead"], [58, 6, 1, "coq:opt.Default-Goal-Selector", "Default Goal Selector"], [66, 6, 1, "coq:opt.Default-Proof-Mode", "Default Proof Mode"], [66, 6, 1, "coq:opt.Default-Proof-Using", "Default Proof Using"], [59, 6, 1, "coq:opt.Default-Timeout", "Default Timeout"], [66, 3, 1, "coq:cmd.Defined", "Defined"], [32, 3, 1, "coq:cmd.Definition", "Definition"], [12, 4, 1, "coq:flag.Definitional-UIP", "Definitional UIP"], [71, 3, 1, "coq:cmd.Delimit-Scope", "Delimit Scope"], [34, 4, 1, "coq:flag.Dependent-Proposition-Eliminators", "Dependent Proposition Eliminators"], [6, 3, 1, "coq:cmd.Derive", "Derive"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion", "Derive Dependent Inversion"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion_clear", "Derive Dependent Inversion_clear"], [67, 3, 1, "coq:cmd.Derive-Inversion", "Derive Inversion"], [67, 3, 1, "coq:cmd.Derive-Inversion_clear", "Derive Inversion_clear"], [66, 6, 1, "coq:opt.Diffs", "Diffs"], [71, 3, 1, "coq:cmd.Disable-Notation", "Disable Notation"], [59, 3, 1, "coq:cmd.Drop", "Drop"], [5, 6, 1, "coq:opt.Dump-Arith", "Dump Arith"], [59, 0, 1, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the", "Dynlink error: execution of module initializers in the"], [46, 0, 1, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies", "Either there is a type incompatibility or the problem involves dependencies"], [67, 4, 1, "coq:flag.Elimination-Schemes", "Elimination Schemes"], [71, 3, 1, "coq:cmd.Enable-Notation", "Enable Notation"], [38, 3, 1, "coq:cmd.End", "End"], [71, 0, 1, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation", "End of quoted string not followed by a space in notation"], [64, 3, 1, "coq:cmd.Eval", "Eval"], [32, 3, 1, "coq:cmd.Example", "Example"], [13, 3, 1, "coq:cmd.Existing-Class", "Existing Class"], [13, 3, 1, "coq:cmd.Existing-Instance", "Existing Instance"], [13, 3, 1, "coq:cmd.Existing-Instances", "Existing Instances"], [35, 3, 1, "coq:cmd.Export", "Export"], [54, 0, 1, "coq:exn.Expression-does-not-evaluate-to-a-tactic", "Expression does not evaluate to a tactic"], [2, 3, 1, "coq:cmd.Extract-Callback", "Extract Callback"], [2, 0, 1, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction", "Extract Callback is supported only for OCaml extraction"], [2, 3, 1, "coq:cmd.Extract-Constant", "Extract Constant"], [2, 3, 1, "coq:cmd.Extract-Foreign-Constant", "Extract Foreign Constant"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction", "Extract Foreign Constant is supported only for OCaml extraction"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions", "Extract Foreign Constant is supported only for functions"], [2, 3, 1, "coq:cmd.Extract-Inductive", "Extract Inductive"], [2, 3, 1, "coq:cmd.Extract-Inlined-Constant", "Extract Inlined Constant"], [2, 3, 1, "coq:cmd.Extraction", "Extraction"], [2, 4, 1, "coq:flag.Extraction-AutoInline", "Extraction AutoInline"], [2, 3, 1, "coq:cmd.Extraction-Blacklist", "Extraction Blacklist"], [2, 4, 1, "coq:flag.Extraction-Conservative-Types", "Extraction Conservative Types"], [2, 6, 1, "coq:opt.Extraction-File-Comment", "Extraction File Comment"], [2, 6, 1, "coq:opt.Extraction-Flag", "Extraction Flag"], [2, 3, 1, "coq:cmd.Extraction-Implicit", "Extraction Implicit"], [2, 3, 1, "coq:cmd.Extraction-Inline", "Extraction Inline"], [2, 4, 1, "coq:flag.Extraction-KeepSingleton", "Extraction KeepSingleton"], [2, 3, 1, "coq:cmd.Extraction-Language", "Extraction Language"], [2, 3, 1, "coq:cmd.Extraction-Library", "Extraction Library"], [2, 3, 1, "coq:cmd.Extraction-NoInline", "Extraction NoInline"], [2, 4, 1, "coq:flag.Extraction-Optimize", "Extraction Optimize"], [2, 6, 1, "coq:opt.Extraction-Output-Directory", "Extraction Output Directory"], [2, 4, 1, "coq:flag.Extraction-SafeImplicits", "Extraction SafeImplicits"], [2, 3, 1, "coq:cmd.Extraction-TestCompile", "Extraction TestCompile"], [2, 4, 1, "coq:flag.Extraction-TypeExpand", "Extraction TypeExpand"], [32, 3, 1, "coq:cmd.Fact", "Fact"], [59, 3, 1, "coq:cmd.Fail", "Fail"], [54, 0, 1, "coq:exn.Failed-to-progress", "Failed to progress"], [59, 4, 1, "coq:flag.Fast-Name-Printing", "Fast Name Printing"], [59, 0, 1, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019", "File not found on loadpath: \u2018string\u2019"], [59, 0, 1, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs", "Files processed by Load cannot leave open proofs"], [9, 3, 1, "coq:cmd.Final-Obligation", "Final Obligation"], [62, 6, 1, "coq:opt.Firstorder-Depth", "Firstorder Depth"], [62, 6, 1, "coq:opt.Firstorder-Solver", "Firstorder Solver"], [34, 3, 1, "coq:cmd.Fixpoint", "Fixpoint"], [41, 0, 1, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019", "Flag &#x27;rename&#x27; expected to rename \u2018name\u2019 into \u2018name\u2019"], [66, 3, 1, "coq:cmd.Focus", "Focus"], [46, 0, 1, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected", "Found a constructor of inductive type term while a constructor of term is expected"], [64, 0, 1, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause", "Found an &quot;at&quot; clause without &quot;with&quot; clause"], [71, 2, 1, "coq:warn.Found-no-matching-notation-to-enable-or-disable", "Found no matching notation to enable or disable"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal", "Found no subterm matching \u2018term\u2019 in the current goal"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019", "Found no subterm matching \u2018term\u2019 in \u2018ident\u2019"], [4, 0, 1, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019", "Found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019"], [59, 3, 1, "coq:cmd.From-\u2026-Dependency", "From \u2026 Dependency"], [59, 3, 1, "coq:cmd.From-\u2026-Require", "From \u2026 Require"], [4, 0, 1, "coq:exn.Funclass-cannot-be-a-source-class", "Funclass cannot be a source class"], [72, 3, 1, "coq:cmd.Function", "Function"], [72, 3, 1, "coq:cmd.Functional-Case", "Functional Case"], [72, 3, 1, "coq:cmd.Functional-Scheme", "Functional Scheme"], [44, 3, 1, "coq:cmd.Generalizable", "Generalizable"], [72, 3, 1, "coq:cmd.Generate-graph-for", "Generate graph for"], [66, 3, 1, "coq:cmd.Goal", "Goal"], [59, 4, 1, "coq:flag.Guard-Checking", "Guard Checking"], [66, 3, 1, "coq:cmd.Guarded", "Guarded"], [60, 3, 1, "coq:cmd.Hint-Constants", "Hint Constants"], [60, 3, 1, "coq:cmd.Hint-Constructors", "Hint Constructors"], [60, 3, 1, "coq:cmd.Hint-Cut", "Hint Cut"], [60, 3, 1, "coq:cmd.Hint-Extern", "Hint Extern"], [60, 3, 1, "coq:cmd.Hint-Immediate", "Hint Immediate"], [60, 3, 1, "coq:cmd.Hint-Mode", "Hint Mode"], [60, 3, 1, "coq:cmd.Hint-Opaque", "Hint Opaque"], [60, 3, 1, "coq:cmd.Hint-Projections", "Hint Projections"], [60, 3, 1, "coq:cmd.Hint-Resolve", "Hint Resolve"], [60, 3, 1, "coq:cmd.Hint-Rewrite", "Hint Rewrite"], [60, 3, 1, "coq:cmd.Hint-Transparent", "Hint Transparent"], [60, 3, 1, "coq:cmd.Hint-Unfold", "Hint Unfold"], [60, 3, 1, "coq:cmd.Hint-Variables", "Hint Variables"], [57, 3, 1, "coq:cmd.Hint-View-for", "Hint View for"], [57, 3, 1, "coq:cmd.Hint-View-for-apply", "Hint View for apply"], [57, 3, 1, "coq:cmd.Hint-View-for-move", "Hint View for move"], [28, 3, 1, "coq:cmd.Hypotheses", "Hypotheses"], [28, 3, 1, "coq:cmd.Hypothesis", "Hypothesis"], [72, 0, 1, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function", "Hypothesis \u2018ident\u2019 must contain at least one Function"], [66, 6, 1, "coq:opt.Hyps-Limit", "Hyps Limit"], [62, 0, 1, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality", "I don\u2019t know how to handle dependent equality"], [4, 3, 1, "coq:cmd.Identity-Coercion", "Identity Coercion"], [13, 2, 1, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class", "Ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class"], [44, 2, 1, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position", "Ignoring implicit binder declaration in unexpected position"], [9, 0, 1, "coq:exn.Ill-formed-recursive-definition", "Ill-formed recursive definition"], [34, 0, 1, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe", "Ill-formed template inductive declaration: not polymorphic on any universe"], [44, 4, 1, "coq:flag.Implicit-Arguments", "Implicit Arguments"], [44, 3, 1, "coq:cmd.Implicit-Type", "Implicit Type"], [44, 3, 1, "coq:cmd.Implicit-Types", "Implicit Types"], [35, 3, 1, "coq:cmd.Import", "Import"], [35, 3, 1, "coq:cmd.Include", "Include"], [35, 3, 1, "coq:cmd.Include-Type", "Include Type"], [57, 0, 1, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)", "Incorrect number of tactics (expected N tactics, was given M)"], [34, 3, 1, "coq:cmd.Inductive", "Inductive"], [71, 3, 1, "coq:cmd.Infix", "Infix"], [54, 3, 1, "coq:cmd.Info", "Info"], [60, 4, 1, "coq:flag.Info-Auto", "Info Auto"], [60, 4, 1, "coq:flag.Info-Eauto", "Info Eauto"], [54, 6, 1, "coq:opt.Info-Level", "Info Level"], [5, 4, 1, "coq:flag.Info-Micromega", "Info Micromega"], [60, 4, 1, "coq:flag.Info-Trivial", "Info Trivial"], [59, 3, 1, "coq:cmd.Inspect", "Inspect"], [13, 3, 1, "coq:cmd.Instance", "Instance"], [59, 3, 1, "coq:cmd.Instructions", "Instructions"], [62, 4, 1, "coq:flag.Intuition-Negation-Unfolding", "Intuition Negation Unfolding"], [59, 0, 1, "coq:exn.Invalid-backtrack", "Invalid backtrack"], [67, 8, 1, "coq:table.Keep-Equalities", "Keep Equalities"], [67, 4, 1, "coq:flag.Keep-Proof-Equalities", "Keep Proof Equalities"], [64, 4, 1, "coq:flag.Kernel-Term-Sharing", "Kernel Term Sharing"], [64, 4, 1, "coq:flag.Keyed-Unification", "Keyed Unification"], [38, 0, 1, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019", "Last block to end has name \u2018ident\u2019"], [32, 3, 1, "coq:cmd.Lemma", "Lemma"], [38, 3, 1, "coq:cmd.Let", "Let"], [38, 3, 1, "coq:cmd.Let-CoFixpoint", "Let CoFixpoint"], [38, 3, 1, "coq:cmd.Let-Fixpoint", "Let Fixpoint"], [5, 4, 1, "coq:flag.Lia-Cache", "Lia Cache"], [59, 3, 1, "coq:cmd.Load", "Load"], [59, 0, 1, "coq:exn.Load-is-not-supported-inside-proofs", "Load is not supported inside proofs"], [59, 3, 1, "coq:cmd.Locate", "Locate"], [59, 3, 1, "coq:cmd.Locate-File", "Locate File"], [59, 3, 1, "coq:cmd.Locate-Library", "Locate Library"], [59, 3, 1, "coq:cmd.Locate-Ltac", "Locate Ltac"], [59, 3, 1, "coq:cmd.Locate-Ltac2", "Locate Ltac2"], [59, 3, 1, "coq:cmd.Locate-Module", "Locate Module"], [59, 3, 1, "coq:cmd.Locate-Term", "Locate Term"], [60, 6, 1, "coq:opt.Loose-Hint-Behavior", "Loose Hint Behavior"], [54, 3, 1, "coq:cmd.Ltac", "Ltac"], [54, 4, 1, "coq:flag.Ltac-Backtrace", "Ltac Backtrace"], [54, 4, 1, "coq:flag.Ltac-Batch-Debug", "Ltac Batch Debug"], [54, 4, 1, "coq:flag.Ltac-Debug", "Ltac Debug"], [54, 4, 1, "coq:flag.Ltac-Profiling", "Ltac Profiling"], [55, 3, 1, "coq:cmd.Ltac2", "Ltac2"], [55, 4, 1, "coq:flag.Ltac2-Backtrace", "Ltac2 Backtrace"], [55, 3, 1, "coq:cmd.Ltac2-Check", "Ltac2 Check"], [55, 3, 1, "coq:cmd.Ltac2-Eval", "Ltac2 Eval"], [55, 3, 1, "coq:cmd.Ltac2-Globalize", "Ltac2 Globalize"], [55, 4, 1, "coq:flag.Ltac2-In-Ltac1-Profiling", "Ltac2 In Ltac1 Profiling"], [55, 3, 1, "coq:cmd.Ltac2-Notation", "Ltac2 Notation"], [55, 3, 1, "coq:cmd.Ltac2-Notation-(abbreviation)", "Ltac2 Notation (abbreviation)"], [55, 3, 1, "coq:cmd.Ltac2-Set", "Ltac2 Set"], [55, 3, 1, "coq:cmd.Ltac2-Type", "Ltac2 Type"], [55, 4, 1, "coq:flag.Ltac2-Typed-Notations", "Ltac2 Typed Notations"], [55, 3, 1, "coq:cmd.Ltac2-external", "Ltac2 external"], [44, 2, 1, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position", "Making shadowed name of implicit argument accessible by position"], [66, 4, 1, "coq:flag.Mangle-Names", "Mangle Names"], [66, 4, 1, "coq:flag.Mangle-Names-Light", "Mangle Names Light"], [66, 6, 1, "coq:opt.Mangle-Names-Prefix", "Mangle Names Prefix"], [44, 4, 1, "coq:flag.Maximal-Implicit-Insertion", "Maximal Implicit Insertion"], [71, 0, 1, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019", "Missing mapping for constructor \u2018qualid\u2019"], [35, 3, 1, "coq:cmd.Module", "Module"], [35, 3, 1, "coq:cmd.Module-Type", "Module Type"], [59, 0, 1, "coq:exn.Module/section-\u2018qualid\u2019-not-found", "Module/section \u2018qualid\u2019 not found"], [14, 7, 1, "coq:attr.Monomorphic", "Monomorphic"], [71, 0, 1, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier", "More than one interpretation bound to this notation, confirm with the &quot;all&quot; modifier"], [71, 0, 1, "coq:exn.Multiple-'via'-options", "Multiple &#x27;via&#x27; options"], [71, 0, 1, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options", "Multiple &#x27;warning after&#x27; or &#x27;abstract after&#x27; options"], [64, 6, 1, "coq:opt.NativeCompute-Profile-Filename", "NativeCompute Profile Filename"], [64, 4, 1, "coq:flag.NativeCompute-Profiling", "NativeCompute Profiling"], [64, 4, 1, "coq:flag.NativeCompute-Timing", "NativeCompute Timing"], [66, 4, 1, "coq:flag.Nested-Proofs-Allowed", "Nested Proofs Allowed"], [66, 2, 1, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one", "New Collection definition of \u2018ident\u2019 shadows the previous one"], [9, 3, 1, "coq:cmd.Next-Obligation", "Next Obligation"], [5, 4, 1, "coq:flag.Nia-Cache", "Nia Cache"], [54, 0, 1, "coq:exn.No-applicable-tactic", "No applicable tactic"], [72, 0, 1, "coq:exn.No-argument-name-\u2018ident\u2019", "No argument name \u2018ident\u2019"], [54, 0, 1, "coq:exn.No-evars", "No evars"], [35, 0, 1, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019", "No field named \u2018ident\u2019 in \u2018qualid\u2019"], [66, 0, 1, "coq:exn.No-focused-proof", "No focused proof"], [66, 0, 1, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)", "No focused proof (No proof-editing in progress)"], [66, 0, 1, "coq:exn.No-focused-proof-to-restart", "No focused proof to restart"], [64, 0, 1, "coq:exn.No-head-constant-to-reduce", "No head constant to reduce"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match", "No matching clauses for match"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match-goal", "No matching clauses for match goal"], [71, 0, 1, "coq:exn.No-notation-provided", "No notation provided"], [67, 0, 1, "coq:exn.No-primitive-equality-found", "No primitive equality found"], [58, 0, 1, "coq:exn.No-product-even-after-head-reduction", "No product even after head-reduction"], [3, 0, 1, "coq:exn.No-progress-made", "No progress made"], [58, 0, 1, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction", "No quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction"], [58, 0, 1, "coq:exn.No-such-assumption", "No such assumption"], [58, 0, 1, "coq:exn.No-such-binder", "No such binder"], [58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)", "No such bound variable \u2018ident\u2019 (no bound variables at all in the expression)"], [66, 0, 1, "coq:exn.No-such-goal", "No such goal"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018ident\u2019)", "No such goal (\u2018ident\u2019)"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018natural\u2019)", "No such goal (\u2018natural\u2019)"], [58, 0, 1, "coq:exn.No-such-hypothesis:-\u2018ident\u2019", "No such hypothesis: \u2018ident\u2019"], [58, 0, 1, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction", "No \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction"], [46, 0, 1, "coq:exn.Non-exhaustive-pattern-matching", "Non exhaustive pattern matching"], [9, 0, 1, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition", "Non extensible universe declaration not supported with monomorphic Program Definition"], [34, 0, 1, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019", "Non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019"], [14, 7, 1, "coq:attr.NonCumulative", "NonCumulative"], [67, 4, 1, "coq:flag.Nonrecursive-Elimination-Schemes", "Nonrecursive Elimination Schemes"], [54, 0, 1, "coq:exn.Not-a-context-variable", "Not a context variable"], [67, 0, 1, "coq:exn.Not-a-discriminable-equality", "Not a discriminable equality"], [67, 0, 1, "coq:exn.Not-a-negated-primitive-equality", "Not a negated primitive equality"], [11, 0, 1, "coq:exn.Not-a-valid-ring-equation", "Not a valid ring equation"], [54, 0, 1, "coq:exn.Not-a-variable-or-hypothesis", "Not a variable or hypothesis"], [54, 0, 1, "coq:exn.Not-an-evar", "Not an evar"], [58, 0, 1, "coq:exn.Not-an-exact-proof", "Not an exact proof"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-1-constructor", "Not an inductive goal with 1 constructor"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-2-constructors", "Not an inductive goal with 2 constructors"], [67, 0, 1, "coq:exn.Not-an-inductive-product", "Not an inductive product"], [64, 0, 1, "coq:exn.Not-convertible", "Not convertible"], [67, 0, 1, "coq:exn.Not-enough-constructors", "Not enough constructors"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018ident\u2019"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018natural\u2019"], [54, 0, 1, "coq:exn.Not-equal", "Not equal"], [54, 0, 1, "coq:exn.Not-equal-(due-to-universes)", "Not equal (due to universes)"], [54, 0, 1, "coq:exn.Not-ground", "Not ground"], [72, 0, 1, "coq:exn.Not-the-right-number-of-induction-arguments", "Not the right number of induction arguments"], [58, 0, 1, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)", "Not the right number of missing arguments (expected \u2018natural\u2019)"], [71, 3, 1, "coq:cmd.Notation", "Notation"], [71, 3, 1, "coq:cmd.Notation-(abbreviation)", "Notation (abbreviation)"], [55, 0, 1, "coq:exn.Notation-levels-must-range-between-0-and-6", "Notation levels must range between 0 and 6"], [67, 0, 1, "coq:exn.Nothing-to-inject", "Nothing to inject"], [3, 0, 1, "coq:exn.Nothing-to-rewrite", "Nothing to rewrite"], [5, 4, 1, "coq:flag.Nra-Cache", "Nra Cache"], [71, 3, 1, "coq:cmd.Number-Notation", "Number Notation"], [9, 3, 1, "coq:cmd.Obligation", "Obligation"], [9, 3, 1, "coq:cmd.Obligation-Tactic", "Obligation Tactic"], [9, 3, 1, "coq:cmd.Obligations", "Obligations"], [64, 3, 1, "coq:cmd.Opaque", "Opaque"], [71, 3, 1, "coq:cmd.Open-Scope", "Open Scope"], [66, 3, 1, "coq:cmd.Optimize-Heap", "Optimize Heap"], [66, 3, 1, "coq:cmd.Optimize-Proof", "Optimize Proof"], [28, 3, 1, "coq:cmd.Parameter", "Parameter"], [28, 3, 1, "coq:cmd.Parameters", "Parameters"], [44, 4, 1, "coq:flag.Parsing-Explicit", "Parsing Explicit"], [14, 7, 1, "coq:attr.Polymorphic", "Polymorphic"], [14, 4, 1, "coq:flag.Polymorphic-Inductive-Cumulativity", "Polymorphic Inductive Cumulativity"], [14, 0, 1, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead", "Polymorphic universe constraints can only be declared inside sections, use Monomorphic Constraint instead"], [14, 0, 1, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead", "Polymorphic universes can only be declared inside sections, use Monomorphic Universe instead"], [59, 4, 1, "coq:flag.Positivity-Checking", "Positivity Checking"], [57, 3, 1, "coq:cmd.Prenex-Implicits", "Prenex Implicits"], [9, 3, 1, "coq:cmd.Preterm", "Preterm"], [59, 3, 1, "coq:cmd.Primitive", "Primitive"], [37, 4, 1, "coq:flag.Primitive-Projections", "Primitive Projections"], [59, 3, 1, "coq:cmd.Print", "Print"], [59, 3, 1, "coq:cmd.Print-All", "Print All"], [59, 3, 1, "coq:cmd.Print-All-Dependencies", "Print All Dependencies"], [59, 3, 1, "coq:cmd.Print-Assumptions", "Print Assumptions"], [42, 3, 1, "coq:cmd.Print-Canonical-Projections", "Print Canonical Projections"], [4, 3, 1, "coq:cmd.Print-Classes", "Print Classes"], [4, 3, 1, "coq:cmd.Print-Coercion-Paths", "Print Coercion Paths"], [4, 3, 1, "coq:cmd.Print-Coercions", "Print Coercions"], [71, 3, 1, "coq:cmd.Print-Custom-Grammar", "Print Custom Grammar"], [66, 3, 1, "coq:cmd.Print-Debug-GC", "Print Debug GC"], [64, 3, 1, "coq:cmd.Print-Equivalent-Keys", "Print Equivalent Keys"], [2, 3, 1, "coq:cmd.Print-Extraction-Blacklist", "Print Extraction Blacklist"], [2, 3, 1, "coq:cmd.Print-Extraction-Callback", "Print Extraction Callback"], [2, 3, 1, "coq:cmd.Print-Extraction-Foreign", "Print Extraction Foreign"], [2, 3, 1, "coq:cmd.Print-Extraction-Inline", "Print Extraction Inline"], [11, 3, 1, "coq:cmd.Print-Fields", "Print Fields"], [62, 3, 1, "coq:cmd.Print-Firstorder-Solver", "Print Firstorder Solver"], [71, 3, 1, "coq:cmd.Print-Grammar", "Print Grammar"], [4, 3, 1, "coq:cmd.Print-Graph", "Print Graph"], [60, 3, 1, "coq:cmd.Print-Hint", "Print Hint"], [60, 3, 1, "coq:cmd.Print-HintDb", "Print HintDb"], [44, 3, 1, "coq:cmd.Print-Implicit", "Print Implicit"], [13, 3, 1, "coq:cmd.Print-Instances", "Print Instances"], [71, 3, 1, "coq:cmd.Print-Keywords", "Print Keywords"], [59, 3, 1, "coq:cmd.Print-Libraries", "Print Libraries"], [59, 3, 1, "coq:cmd.Print-LoadPath", "Print LoadPath"], [54, 3, 1, "coq:cmd.Print-Ltac", "Print Ltac"], [54, 3, 1, "coq:cmd.Print-Ltac-Signatures", "Print Ltac Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2", "Print Ltac2"], [55, 3, 1, "coq:cmd.Print-Ltac2-Signatures", "Print Ltac2 Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2-Type", "Print Ltac2 Type"], [59, 3, 1, "coq:cmd.Print-ML-Modules", "Print ML Modules"], [59, 3, 1, "coq:cmd.Print-ML-Path", "Print ML Path"], [35, 3, 1, "coq:cmd.Print-Module", "Print Module"], [35, 3, 1, "coq:cmd.Print-Module-Type", "Print Module Type"], [35, 3, 1, "coq:cmd.Print-Namespace", "Print Namespace"], [71, 3, 1, "coq:cmd.Print-Notation", "Print Notation"], [59, 3, 1, "coq:cmd.Print-Opaque-Dependencies", "Print Opaque Dependencies"], [29, 3, 1, "coq:cmd.Print-Options", "Print Options"], [59, 3, 1, "coq:cmd.Print-Registered", "Print Registered"], [59, 3, 1, "coq:cmd.Print-Registered-Schemes", "Print Registered Schemes"], [60, 3, 1, "coq:cmd.Print-Rewrite-HintDb", "Print Rewrite HintDb"], [11, 3, 1, "coq:cmd.Print-Rings", "Print Rings"], [71, 3, 1, "coq:cmd.Print-Scope", "Print Scope"], [71, 3, 1, "coq:cmd.Print-Scopes", "Print Scopes"], [59, 3, 1, "coq:cmd.Print-Section", "Print Section"], [64, 3, 1, "coq:cmd.Print-Strategies", "Print Strategies"], [64, 3, 1, "coq:cmd.Print-Strategy", "Print Strategy"], [29, 3, 1, "coq:cmd.Print-Table", "Print Table"], [29, 3, 1, "coq:cmd.Print-Tables", "Print Tables"], [59, 3, 1, "coq:cmd.Print-Transparent-Dependencies", "Print Transparent Dependencies"], [13, 3, 1, "coq:cmd.Print-Typeclasses", "Print Typeclasses"], [59, 3, 1, "coq:cmd.Print-Typing-Flags", "Print Typing Flags"], [14, 3, 1, "coq:cmd.Print-Universes", "Print Universes"], [71, 3, 1, "coq:cmd.Print-Visibility", "Print Visibility"], [59, 4, 1, "coq:flag.Printing-All", "Printing All"], [46, 4, 1, "coq:flag.Printing-Allow-Match-Default-Clause", "Printing Allow Match Default Clause"], [4, 8, 1, "coq:table.Printing-Coercion", "Printing Coercion"], [4, 4, 1, "coq:flag.Printing-Coercions", "Printing Coercions"], [59, 4, 1, "coq:flag.Printing-Compact-Contexts", "Printing Compact Contexts"], [37, 8, 1, "coq:table.Printing-Constructor", "Printing Constructor"], [59, 4, 1, "coq:flag.Printing-Dependent-Evars-Line", "Printing Dependent Evars Line"], [59, 6, 1, "coq:opt.Printing-Depth", "Printing Depth"], [43, 4, 1, "coq:flag.Printing-Existential-Instances", "Printing Existential Instances"], [46, 4, 1, "coq:flag.Printing-Factorizable-Match-Patterns", "Printing Factorizable Match Patterns"], [66, 4, 1, "coq:flag.Printing-Goal-Names", "Printing Goal Names"], [66, 4, 1, "coq:flag.Printing-Goal-Tags", "Printing Goal Tags"], [46, 8, 1, "coq:table.Printing-If", "Printing If"], [44, 4, 1, "coq:flag.Printing-Implicit", "Printing Implicit"], [44, 4, 1, "coq:flag.Printing-Implicit-Defensive", "Printing Implicit Defensive"], [46, 8, 1, "coq:table.Printing-Let", "Printing Let"], [46, 4, 1, "coq:flag.Printing-Match-All-Subterms", "Printing Match All Subterms"], [46, 4, 1, "coq:flag.Printing-Matching", "Printing Matching"], [71, 4, 1, "coq:flag.Printing-Notations", "Printing Notations"], [71, 4, 1, "coq:flag.Printing-Parentheses", "Printing Parentheses"], [37, 4, 1, "coq:flag.Printing-Primitive-Projection-Parameters", "Printing Primitive Projection Parameters"], [37, 4, 1, "coq:flag.Printing-Projections", "Printing Projections"], [71, 4, 1, "coq:flag.Printing-Raw-Literals", "Printing Raw Literals"], [37, 8, 1, "coq:table.Printing-Record", "Printing Record"], [37, 4, 1, "coq:flag.Printing-Records", "Printing Records"], [12, 4, 1, "coq:flag.Printing-Relevance-Marks", "Printing Relevance Marks"], [46, 4, 1, "coq:flag.Printing-Synth", "Printing Synth"], [59, 4, 1, "coq:flag.Printing-Unfocused", "Printing Unfocused"], [37, 4, 1, "coq:flag.Printing-Unfolded-Projection-As-Match", "Printing Unfolded Projection As Match"], [14, 4, 1, "coq:flag.Printing-Universes", "Printing Universes"], [44, 4, 1, "coq:flag.Printing-Use-Implicit-Types", "Printing Use Implicit Types"], [59, 6, 1, "coq:opt.Printing-Width", "Printing Width"], [46, 4, 1, "coq:flag.Printing-Wildcard", "Printing Wildcard"], [40, 7, 1, "coq:attr.Private", "Private"], [14, 4, 1, "coq:flag.Private-Polymorphic-Universes", "Private Polymorphic Universes"], [59, 3, 1, "coq:cmd.Profile", "Profile"], [9, 7, 1, "coq:attr.Program", "Program"], [9, 4, 1, "coq:flag.Program-Cases", "Program Cases"], [9, 4, 1, "coq:flag.Program-Generalized-Coercion", "Program Generalized Coercion"], [9, 4, 1, "coq:flag.Program-Mode", "Program Mode"], [66, 3, 1, "coq:cmd.Proof", "Proof"], [66, 3, 1, "coq:cmd.Proof-Mode", "Proof Mode"], [66, 3, 1, "coq:cmd.Proof-`term`", "Proof `term`"], [66, 3, 1, "coq:cmd.Proof-using", "Proof using"], [60, 3, 1, "coq:cmd.Proof-with", "Proof with"], [32, 3, 1, "coq:cmd.Property", "Property"], [32, 3, 1, "coq:cmd.Proposition", "Proposition"], [5, 5, 1, "coq:thm.Psatz", "Psatz"], [2, 3, 1, "coq:cmd.Pwd", "Pwd"], [66, 3, 1, "coq:cmd.Qed", "Qed"], [59, 3, 1, "coq:cmd.Quit", "Quit"], [37, 3, 1, "coq:cmd.Record", "Record"], [37, 0, 1, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive", "Records declared with the keyword Record or Structure cannot be recursive"], [2, 3, 1, "coq:cmd.Recursive-Extraction", "Recursive Extraction"], [2, 3, 1, "coq:cmd.Recursive-Extraction-Library", "Recursive Extraction Library"], [59, 3, 1, "coq:cmd.Redirect", "Redirect"], [59, 3, 1, "coq:cmd.Register", "Register"], [59, 3, 1, "coq:cmd.Register-Inline", "Register Inline"], [59, 3, 1, "coq:cmd.Register-Scheme", "Register Scheme"], [64, 4, 1, "coq:flag.Regular-Subst-Tactic", "Regular Subst Tactic"], [32, 3, 1, "coq:cmd.Remark", "Remark"], [29, 3, 1, "coq:cmd.Remove", "Remove"], [60, 3, 1, "coq:cmd.Remove-Hints", "Remove Hints"], [59, 3, 1, "coq:cmd.Require", "Require"], [59, 3, 1, "coq:cmd.Require-Export", "Require Export"], [59, 3, 1, "coq:cmd.Require-Import", "Require Import"], [71, 3, 1, "coq:cmd.Reserved-Infix", "Reserved Infix"], [71, 3, 1, "coq:cmd.Reserved-Notation", "Reserved Notation"], [59, 3, 1, "coq:cmd.Reset", "Reset"], [2, 3, 1, "coq:cmd.Reset-Extraction-Blacklist", "Reset Extraction Blacklist"], [2, 3, 1, "coq:cmd.Reset-Extraction-Callback", "Reset Extraction Callback"], [2, 3, 1, "coq:cmd.Reset-Extraction-Inline", "Reset Extraction Inline"], [59, 3, 1, "coq:cmd.Reset-Initial", "Reset Initial"], [54, 3, 1, "coq:cmd.Reset-Ltac-Profile", "Reset Ltac Profile"], [66, 3, 1, "coq:cmd.Restart", "Restart"], [44, 4, 1, "coq:flag.Reversible-Pattern-Implicit", "Reversible Pattern Implicit"], [10, 3, 1, "coq:cmd.Rewrite-Rule", "Rewrite Rule"], [10, 3, 1, "coq:cmd.Rewrite-Rules", "Rewrite Rules"], [10, 0, 1, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\"", "Rewrite rule declaration requires passing the flag &quot;-allow-rewrite-rules&quot;"], [67, 4, 1, "coq:flag.Rewriting-Schemes", "Rewriting Schemes"], [11, 0, 1, "coq:exn.Ring-operation-should-be-declared-as-a-morphism", "Ring operation should be declared as a morphism"], [12, 0, 1, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off", "SProp is disallowed because the &quot;Allow StrictProp&quot; flag is off"], [66, 3, 1, "coq:cmd.Save", "Save"], [67, 3, 1, "coq:cmd.Scheme", "Scheme"], [67, 3, 1, "coq:cmd.Scheme-Boolean-Equality", "Scheme Boolean Equality"], [67, 3, 1, "coq:cmd.Scheme-Equality", "Scheme Equality"], [71, 0, 1, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore", "Scope delimiters should not start with an underscore"], [71, 0, 1, "coq:exn.Scope-names-should-not-start-with-an-underscore", "Scope names should not start with an underscore"], [59, 3, 1, "coq:cmd.Search", "Search"], [59, 8, 1, "coq:table.Search-Blacklist", "Search Blacklist"], [59, 4, 1, "coq:flag.Search-Output-Name-Only", "Search Output Name Only"], [59, 3, 1, "coq:cmd.SearchPattern", "SearchPattern"], [59, 3, 1, "coq:cmd.SearchRewrite", "SearchRewrite"], [38, 3, 1, "coq:cmd.Section", "Section"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion"], [2, 3, 1, "coq:cmd.Separate-Extraction", "Separate Extraction"], [29, 3, 1, "coq:cmd.Set", "Set"], [35, 4, 1, "coq:flag.Short-Module-Printing", "Short Module Printing"], [66, 3, 1, "coq:cmd.Show", "Show"], [66, 3, 1, "coq:cmd.Show-Conjectures", "Show Conjectures"], [66, 3, 1, "coq:cmd.Show-Existentials", "Show Existentials"], [2, 3, 1, "coq:cmd.Show-Extraction", "Show Extraction"], [66, 3, 1, "coq:cmd.Show-Goal", "Show Goal"], [66, 3, 1, "coq:cmd.Show-Intro", "Show Intro"], [66, 3, 1, "coq:cmd.Show-Intros", "Show Intros"], [5, 3, 1, "coq:cmd.Show-Lia-Profile", "Show Lia Profile"], [54, 3, 1, "coq:cmd.Show-Ltac-Profile", "Show Ltac Profile"], [66, 3, 1, "coq:cmd.Show-Match", "Show Match"], [9, 3, 1, "coq:cmd.Show-Obligation-Tactic", "Show Obligation Tactic"], [66, 3, 1, "coq:cmd.Show-Proof", "Show Proof"], [66, 3, 1, "coq:cmd.Show-Universes", "Show Universes"], [5, 3, 1, "coq:cmd.Show-Zify", "Show Zify"], [35, 0, 1, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match", "Signature components for field \u2018ident\u2019 do not match"], [59, 4, 1, "coq:flag.Silent", "Silent"], [9, 3, 1, "coq:cmd.Solve-All-Obligations", "Solve All Obligations"], [9, 3, 1, "coq:cmd.Solve-Obligations", "Solve Obligations"], [66, 4, 1, "coq:flag.Solve-Unification-Constraints", "Solve Unification Constraints"], [57, 4, 1, "coq:flag.SsrHave-NoTCResolution", "SsrHave NoTCResolution"], [57, 4, 1, "coq:flag.SsrIdents", "SsrIdents"], [57, 4, 1, "coq:flag.SsrOldRewriteGoalsOrder", "SsrOldRewriteGoalsOrder"], [57, 4, 1, "coq:flag.SsrRewrite", "SsrRewrite"], [71, 2, 1, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)", "Stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed)"], [64, 3, 1, "coq:cmd.Strategy", "Strategy"], [44, 4, 1, "coq:flag.Strict-Implicit", "Strict Implicit"], [14, 4, 1, "coq:flag.Strict-Universe-Declaration", "Strict Universe Declaration"], [71, 3, 1, "coq:cmd.String-Notation", "String Notation"], [44, 4, 1, "coq:flag.Strongly-Strict-Implicit", "Strongly Strict Implicit"], [67, 4, 1, "coq:flag.Structural-Injection", "Structural Injection"], [37, 3, 1, "coq:cmd.Structure", "Structure"], [4, 3, 1, "coq:cmd.SubClass", "SubClass"], [59, 3, 1, "coq:cmd.Succeed", "Succeed"], [66, 4, 1, "coq:flag.Suggest-Proof-Using", "Suggest Proof Using"], [10, 3, 1, "coq:cmd.Symbol", "Symbol"], [10, 3, 1, "coq:cmd.Symbols", "Symbols"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])", "Syntax error: [prim:reference] expected after &#x27;Notation&#x27; (in [vernac:command])"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])", "Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command])"], [71, 3, 1, "coq:cmd.Tactic-Notation", "Tactic Notation"], [54, 0, 1, "coq:exn.Tactic-failure", "Tactic failure"], [54, 0, 1, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)", "Tactic failure (level \u2018natural\u2019)"], [54, 0, 1, "coq:exn.Tactic-failure:-<tactic-closure>-succeeds", "Tactic failure: &lt;tactic closure&gt; succeeds"], [64, 0, 1, "coq:exn.Tactic-failure:-Setoid-library-not-loaded", "Tactic failure: Setoid library not loaded"], [64, 0, 1, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal", "Tactic generated a subgoal identical to the original goal"], [64, 0, 1, "coq:exn.Terms-do-not-have-convertible-types", "Terms do not have convertible types"], [29, 3, 1, "coq:cmd.Test", "Test"], [60, 0, 1, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic", "The &quot;at&quot; syntax isn&#x27;t available yet for the autorewrite tactic"], [41, 0, 1, "coq:exn.The-&-modifier-may-only-occur-once", "The &amp; modifier may only occur once"], [71, 2, 1, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type", "The &#x27;abstract after&#x27; directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type"], [41, 0, 1, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given", "The &#x27;clear implicits&#x27; flag must be omitted if implicit annotations are given"], [41, 0, 1, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations", "The &#x27;default implicits&#x27; flag is incompatible with implicit annotations"], [41, 0, 1, "coq:exn.The-/-modifier-may-only-occur-once", "The / modifier may only occur once"], [59, 0, 1, "coq:exn.The-command-has-not-failed!", "The command has not failed!"], [34, 0, 1, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019", "The conclusion of \u2018type\u2019 is not valid; it must be built from \u2018ident\u2019"], [46, 0, 1, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments", "The constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments"], [14, 0, 1, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context", "The cumulative attribute can only be used in a polymorphic context"], [46, 0, 1, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)", "The elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case)"], [35, 0, 1, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019", "The field \u2018ident\u2019 is missing in \u2018qualid\u2019"], [72, 0, 1, "coq:exn.The-recursive-argument-must-be-specified", "The recursive argument must be specified"], [55, 0, 1, "coq:exn.The-reference-X-was-not-found-in-the-current-environment", "The reference X was not found in the current environment"], [64, 0, 1, "coq:exn.The-reference-is-not-unfoldable", "The reference is not unfoldable"], [64, 0, 1, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment", "The reference \u2018qualid\u2019 was not found in the current environment"], [58, 0, 1, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type", "The term &quot;\u2018type\u2019&quot; has type &quot;\u2018type\u2019&quot; which should be Set, Prop or Type"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant", "The term \u2018qualid\u2019 is already defined as foreign custom constant"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant", "The term \u2018qualid\u2019 is already defined as inline custom constant"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type", "The term \u2018term\u2019 has type \u2018type\u2019 which should be Set, Prop or Type"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'", "The term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019&#x27;"], [67, 0, 1, "coq:exn.The-type-has-no-constructors", "The type has no constructors"], [59, 0, 1, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked", "The type \u2018ident\u2019 must be registered before this construction can be typechecked"], [46, 0, 1, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term", "The variable ident is bound several times in pattern term"], [58, 0, 1, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared", "The variable \u2018ident\u2019 is already declared"], [40, 0, 1, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019", "The \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019"], [32, 3, 1, "coq:cmd.Theorem", "Theorem"], [54, 0, 1, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019", "There is already an Ltac named \u2018qualid\u2019"], [54, 0, 1, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019", "There is no Ltac named \u2018qualid\u2019"], [29, 2, 1, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag or option with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag, option or table with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no qualid-valued table with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no string-valued table with this name: &quot;\u2018setting_name\u2019&quot;"], [38, 0, 1, "coq:exn.There-is-nothing-to-end", "There is nothing to end"], [29, 2, 1, "coq:warn.This-command-does-not-support-this-attribute", "This command does not support this attribute"], [59, 0, 1, "coq:exn.This-object-does-not-support-universe-names", "This object does not support universe names"], [66, 0, 1, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way", "This proof is focused, but cannot be unfocused this way"], [54, 0, 1, "coq:exn.This-tactic-has-more-than-one-success", "This tactic has more than one success"], [59, 3, 1, "coq:cmd.Time", "Time"], [59, 3, 1, "coq:cmd.Timeout", "Timeout"], [71, 2, 1, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019", "To avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019"], [41, 0, 1, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified", "To rename arguments the &#x27;rename&#x27; flag must be specified"], [64, 3, 1, "coq:cmd.Transparent", "Transparent"], [9, 4, 1, "coq:flag.Transparent-Obligations", "Transparent Obligations"], [35, 2, 1, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!", "Trying to mask the absolute name \u2018qualid\u2019!"], [59, 3, 1, "coq:cmd.Type", "Type"], [67, 0, 1, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019", "Type of \u2018ident\u2019 is not an equality of recognized \u03a3 types: expected one of sig sig2 sigT sigT2 sigT2 ex or ex2 but got \u2018term\u2019"], [13, 4, 1, "coq:flag.Typeclass-Resolution-For-Conversion", "Typeclass Resolution For Conversion"], [13, 4, 1, "coq:flag.Typeclasses-Debug", "Typeclasses Debug"], [13, 6, 1, "coq:opt.Typeclasses-Debug-Verbosity", "Typeclasses Debug Verbosity"], [13, 6, 1, "coq:opt.Typeclasses-Default-Mode", "Typeclasses Default Mode"], [13, 4, 1, "coq:flag.Typeclasses-Dependency-Order", "Typeclasses Dependency Order"], [13, 6, 1, "coq:opt.Typeclasses-Depth", "Typeclasses Depth"], [13, 4, 1, "coq:flag.Typeclasses-Iterative-Deepening", "Typeclasses Iterative Deepening"], [13, 4, 1, "coq:flag.Typeclasses-Limit-Intros", "Typeclasses Limit Intros"], [13, 3, 1, "coq:cmd.Typeclasses-Opaque", "Typeclasses Opaque"], [13, 4, 1, "coq:flag.Typeclasses-Strict-Resolution", "Typeclasses Strict Resolution"], [13, 3, 1, "coq:cmd.Typeclasses-Transparent", "Typeclasses Transparent"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Instances", "Typeclasses Unique Instances"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Solutions", "Typeclasses Unique Solutions"], [13, 3, 1, "coq:cmd.Typeclasses-eauto", "Typeclasses eauto"], [67, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019"], [58, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019"], [46, 0, 1, "coq:exn.Unable-to-infer-a-match-predicate", "Unable to infer a match predicate"], [3, 0, 1, "coq:exn.Unable-to-satisfy-the-rewriting-constraints", "Unable to satisfy the rewriting constraints"], [58, 0, 1, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019", "Unable to unify \u2018one_term\u2019 with \u2018one_term\u2019"], [55, 0, 1, "coq:exn.Unbound-[value|constructor]-X", "Unbound [value|constructor] X"], [54, 0, 1, "coq:exn.Unbound-context-identifier-\u2018ident\u2019", "Unbound context identifier \u2018ident\u2019"], [14, 0, 1, "coq:exn.Undeclared-universe-\u2018ident\u2019", "Undeclared universe \u2018ident\u2019"], [71, 3, 1, "coq:cmd.Undelimit-Scope", "Undelimit Scope"], [66, 3, 1, "coq:cmd.Undo", "Undo"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected non-option term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected non-option term \u2018term\u2019 while parsing a string notation"], [71, 0, 1, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation", "Unexpected only parsing for an only printing notation"], [71, 0, 1, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation", "Unexpected only printing for an only parsing notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected term \u2018term\u2019 while parsing a string notation"], [66, 3, 1, "coq:cmd.Unfocus", "Unfocus"], [66, 3, 1, "coq:cmd.Unfocused", "Unfocused"], [34, 4, 1, "coq:flag.Uniform-Inductive-Parameters", "Uniform Inductive Parameters"], [14, 3, 1, "coq:cmd.Universe", "Universe"], [59, 4, 1, "coq:flag.Universe-Checking", "Universe Checking"], [14, 4, 1, "coq:flag.Universe-Minimization-ToSet", "Universe Minimization ToSet"], [14, 4, 1, "coq:flag.Universe-Polymorphism", "Universe Polymorphism"], [14, 0, 1, "coq:exn.Universe-inconsistency", "Universe inconsistency"], [59, 0, 1, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019", "Universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019"], [14, 3, 1, "coq:cmd.Universes", "Universes"], [71, 0, 1, "coq:exn.Unknown-custom-entry", "Unknown custom entry"], [71, 0, 1, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019", "Unknown custom entry: \u2018ident\u2019"], [66, 0, 1, "coq:exn.Unknown-inductive-type", "Unknown inductive type"], [29, 3, 1, "coq:cmd.Unset", "Unset"], [66, 3, 1, "coq:cmd.Unshelve", "Unshelve"], [71, 0, 1, "coq:exn.Unterminated-string-in-notation", "Unterminated string in notation"], [28, 2, 1, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\"", "Use of &quot;Variable&quot; or &quot;Hypothesis&quot; outside sections behaves as &quot;#[local] Parameter&quot; or &quot;#[local] Axiom&quot;"], [71, 2, 1, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax", "Use of \u2018string\u2019 Notation is deprecated as it is inconsistent with pattern syntax"], [13, 2, 1, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d", "Using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d"], [66, 3, 1, "coq:cmd.Validate-Proof", "Validate Proof"], [28, 3, 1, "coq:cmd.Variable", "Variable"], [66, 2, 1, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables", "Variable All is shadowed by Collection named All containing all variables"], [28, 3, 1, "coq:cmd.Variables", "Variables"], [40, 3, 1, "coq:cmd.Variant", "Variant"], [59, 6, 1, "coq:opt.Warnings", "Warnings"], [44, 0, 1, "coq:exn.Wrong-argument-name", "Wrong argument name"], [44, 0, 1, "coq:exn.Wrong-argument-position", "Wrong argument position"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here", "Wrong bullet \u2018bullet\u2019: Bullet \u2018bullet\u2019 is mandatory here"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished", "Wrong bullet \u2018bullet\u2019: Current bullet \u2018bullet\u2019 is not finished"], [54, 1, 1, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[ \u2026 | \u2026 | \u2026 ] (dispatch)"], [54, 1, 1, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[&gt; \u2026 | \u2026 | \u2026 ] (dispatch)"], [55, 7, 1, "coq:attr.abstract", "abstract"], [66, 1, 1, "coq:tacn.abstract", "abstract"], [57, 1, 1, "coq:tacn.abstract-(ssreflect)", "abstract (ssreflect)"], [58, 1, 1, "coq:tacn.absurd", "absurd"], [71, 7, 1, "coq:attr.add_bottom", "add_bottom"], [71, 7, 1, "coq:attr.add_top", "add_top"], [66, 1, 1, "coq:tacn.admit", "admit"], [58, 1, 1, "coq:tacn.apply", "apply"], [57, 1, 1, "coq:tacn.apply-(ssreflect)", "apply (ssreflect)"], [58, 1, 1, "coq:tacn.assert", "assert"], [54, 1, 1, "coq:tacn.assert_fails", "assert_fails"], [54, 1, 1, "coq:tacn.assert_succeeds", "assert_succeeds"], [58, 1, 1, "coq:tacn.assumption", "assumption"], [60, 1, 1, "coq:tacn.auto", "auto"], [13, 1, 1, "coq:tacn.autoapply", "autoapply"], [60, 1, 1, "coq:tacn.autorewrite", "autorewrite"], [60, 1, 1, "coq:tacn.autounfold", "autounfold"], [60, 1, 1, "coq:tacn.autounfold_one", "autounfold_one"], [62, 1, 1, "coq:tacn.btauto", "btauto"], [66, 1, 1, "coq:tacn.bullet-(--+-*)", "bullet (- + *)"], [57, 1, 1, "coq:tacn.by", "by"], [59, 7, 1, "coq:attr.bypass_check(guard)", "bypass_check(guard)"], [59, 7, 1, "coq:attr.bypass_check(positivity)", "bypass_check(positivity)"], [59, 7, 1, "coq:attr.bypass_check(universes)", "bypass_check(universes)"], [42, 7, 1, "coq:attr.canonical", "canonical"], [67, 1, 1, "coq:tacn.case", "case"], [57, 1, 1, "coq:tacn.case-(ssreflect)", "case (ssreflect)"], [67, 1, 1, "coq:tacn.case_eq", "case_eq"], [64, 1, 1, "coq:tacn.cbn", "cbn"], [64, 1, 1, "coq:tacn.cbv", "cbv"], [64, 1, 1, "coq:tacn.change", "change"], [64, 1, 1, "coq:tacn.change_no_check", "change_no_check"], [58, 1, 1, "coq:tacn.classical_left", "classical_left"], [58, 1, 1, "coq:tacn.classical_right", "classical_right"], [58, 1, 1, "coq:tacn.clear", "clear"], [58, 1, 1, "coq:tacn.clear-dependent", "clear dependent"], [38, 7, 1, "coq:attr.clearbody", "clearbody"], [58, 1, 1, "coq:tacn.clearbody", "clearbody"], [71, 2, 1, "coq:warn.closed-notation-not-level-0", "closed-notation-not-level-0"], [67, 1, 1, "coq:tacn.cofix", "cofix"], [67, 1, 1, "coq:tacn.compare", "compare"], [64, 1, 1, "coq:tacn.compute", "compute"], [57, 1, 1, "coq:tacn.congr", "congr"], [62, 1, 1, "coq:tacn.congruence", "congruence"], [54, 1, 1, "coq:tacn.constr_eq", "constr_eq"], [54, 1, 1, "coq:tacn.constr_eq_nounivs", "constr_eq_nounivs"], [54, 1, 1, "coq:tacn.constr_eq_strict", "constr_eq_strict"], [67, 1, 1, "coq:tacn.constructor", "constructor"], [54, 1, 1, "coq:tacn.context", "context"], [58, 1, 1, "coq:tacn.contradict", "contradict"], [58, 1, 1, "coq:tacn.contradiction", "contradiction"], [54, 1, 1, "coq:tacn.convert", "convert"], [58, 1, 1, "coq:tacn.cut", "cut"], [66, 1, 1, "coq:tacn.cycle", "cycle"], [60, 1, 1, "coq:tacn.debug-auto", "debug auto"], [60, 1, 1, "coq:tacn.debug-eauto", "debug eauto"], [60, 1, 1, "coq:tacn.debug-trivial", "debug trivial"], [67, 1, 1, "coq:tacn.decide", "decide"], [67, 1, 1, "coq:tacn.decide-equality", "decide equality"], [67, 1, 1, "coq:tacn.decompose", "decompose"], [67, 1, 1, "coq:tacn.decompose-record", "decompose record"], [67, 1, 1, "coq:tacn.decompose-sum", "decompose sum"], [67, 1, 1, "coq:tacn.dependent-destruction", "dependent 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1, 1, "coq:tacn.symmetry", "symmetry"], [62, 1, 1, "coq:tacn.tauto", "tauto"], [34, 0, 1, "coq:exn.template-and-polymorphism-not-compatible", "template and polymorphism not compatible"], [54, 1, 1, "coq:tacn.time", "time"], [54, 1, 1, "coq:tacn.time_constr", "time_constr"], [54, 1, 1, "coq:tacn.timeout", "timeout"], [64, 1, 1, "coq:tacn.transitivity", "transitivity"], [66, 1, 1, "coq:tacn.transparent_abstract", "transparent_abstract"], [60, 1, 1, "coq:tacn.trivial", "trivial"], [54, 1, 1, "coq:tacn.try", "try"], [54, 1, 1, "coq:tacn.tryif", "tryif"], [54, 1, 1, "coq:tacn.type-of", "type of"], [54, 1, 1, "coq:tacn.type_term", "type_term"], [13, 1, 1, "coq:tacn.typeclasses-eauto", "typeclasses eauto"], [57, 1, 1, "coq:tacn.under", "under"], [64, 1, 1, "coq:tacn.unfold", "unfold"], [54, 1, 1, "coq:tacn.unify", "unify"], [14, 7, 1, "coq:attr.universes(cumulative)", "universes(cumulative)"], [14, 7, 1, "coq:attr.universes(polymorphic)", "universes(polymorphic)"], [34, 7, 1, "coq:attr.universes(template)", "universes(template)"], [57, 1, 1, "coq:tacn.unlock", "unlock"], [66, 1, 1, "coq:tacn.unshelve", "unshelve"], [66, 7, 1, "coq:attr.using", "using"], [58, 1, 1, "coq:tacn.vm_cast_no_check", "vm_cast_no_check"], [64, 1, 1, "coq:tacn.vm_compute", "vm_compute"], [74, 7, 1, "coq:attr.warn", "warn"], [29, 7, 1, "coq:attr.warning", "warning"], [29, 7, 1, "coq:attr.warnings", "warnings"], [64, 1, 1, "coq:tacn.with_strategy", "with_strategy"], [57, 1, 1, "coq:tacn.without-loss", "without loss"], [5, 1, 1, "coq:tacn.wlia", "wlia"], [57, 1, 1, "coq:tacn.wlog", "wlog"], [5, 1, 1, "coq:tacn.wlra_Q", "wlra_Q"], [5, 1, 1, "coq:tacn.wnia", "wnia"], [5, 1, 1, "coq:tacn.wnra_Q", "wnra_Q"], [5, 1, 1, "coq:tacn.wpsatz_Q", "wpsatz_Q"], [5, 1, 1, "coq:tacn.wpsatz_Z", "wpsatz_Z"], [5, 1, 1, "coq:tacn.wsos_Q", "wsos_Q"], [5, 1, 1, "coq:tacn.wsos_Z", "wsos_Z"], [5, 1, 1, "coq:tacn.xlia", "xlia"], [5, 1, 1, "coq:tacn.xlra_Q", "xlra_Q"], [5, 1, 1, "coq:tacn.xlra_R", "xlra_R"], [5, 1, 1, "coq:tacn.xnia", "xnia"], [5, 1, 1, "coq:tacn.xnra_Q", "xnra_Q"], [5, 1, 1, "coq:tacn.xnra_R", "xnra_R"], [5, 1, 1, "coq:tacn.xpsatz_Q", "xpsatz_Q"], [5, 1, 1, "coq:tacn.xpsatz_R", "xpsatz_R"], [5, 1, 1, "coq:tacn.xpsatz_Z", "xpsatz_Z"], [5, 1, 1, "coq:tacn.xsos_Q", "xsos_Q"], [5, 1, 1, "coq:tacn.xsos_R", "xsos_R"], [5, 1, 1, "coq:tacn.xsos_Z", "xsos_Z"], [5, 1, 1, "coq:tacn.zify", "zify"], [5, 1, 1, "coq:tacn.zify_elim_let", "zify_elim_let"], [5, 1, 1, "coq:tacn.zify_iter_let", "zify_iter_let"], [5, 1, 1, "coq:tacn.zify_iter_specs", "zify_iter_specs"], [5, 1, 1, "coq:tacn.zify_op", "zify_op"], [5, 1, 1, "coq:tacn.zify_saturate", "zify_saturate"], [66, 1, 1, "coq:tacn.{", "{"], [54, 1, 1, "coq:tacn.||-(first-tactic-making-progress)", "|| (first tactic making progress)"], [66, 1, 1, "coq:tacn.}", "}"], [4, 0, 1, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant", "\u2018coercion_class\u2019 must be a transparent constant"], [37, 0, 1, "coq:exn.\u2018ident\u2019-already-exists", "\u2018ident\u2019 already exists"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined", "\u2018ident\u2019 cannot be defined"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not", "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined", "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined"], [13, 2, 1, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass", "\u2018ident\u2019 is already declared as a typeclass"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-already-used", "\u2018ident\u2019 is already used"], [66, 2, 1, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable", "\u2018ident\u2019 is both name of a Collection and Variable, Collection \u2018ident\u2019 takes precedence over Variable"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-not-a-local-definition", "\u2018ident\u2019 is not a local definition"], [67, 0, 1, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types", "\u2018ident\u2019 is not an equality of \u03a3 types"], [64, 0, 1, "coq:exn.\u2018ident\u2019-is-opaque", "\u2018ident\u2019 is opaque"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion", "\u2018ident\u2019 is used in the conclusion"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019", "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019"], [66, 2, 1, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command", "\u2018ident\u2019 was already a defined Variable, the name \u2018ident\u2019 will refer to Collection when executing &quot;Proof using&quot; command"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint", "\u2018qualid\u2019 cannot be used as a hint"], [64, 0, 1, "coq:exn.\u2018qualid\u2019-does-not-occur", "\u2018qualid\u2019 does not occur"], [4, 2, 1, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition", "\u2018qualid\u2019 does not respect the uniform inheritance condition"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-already-a-coercion", "\u2018qualid\u2019 is already a coercion"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference", "\u2018qualid\u2019 is bound to a notation that does not denote a reference"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-function", "\u2018qualid\u2019 is not a function"], [35, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-module", "\u2018qualid\u2019 is not a module"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type", "\u2018qualid\u2019 is not an inductive type"], [59, 0, 1, "coq:exn.\u2018qualid\u2019-not-a-defined-object", "\u2018qualid\u2019 not a defined object"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-not-declared", "\u2018qualid\u2019 not declared"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019", "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019"], [74, 2, 1, "coq:warn.\u2018string\u2019", "\u2018string\u2019"], [71, 0, 1, "coq:exn.\u2018type\u2019-is-not-an-inductive-type", "\u2018type\u2019 is not an inductive type"], [71, 2, 1, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation", "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation"], [54, 1, 1, "coq:tacn.\u2026-:-\u2026-(goal-selector)", "\u2026 : \u2026 (goal selector)"], [57, 1, 1, "coq:tacn.\u2026-:-\u2026-(ssreflect)", "\u2026 : \u2026 (ssreflect)"]], "..": [[4, 2, 1, "coq:warn....-is-not-definitionally-an-identity-function", " is not definitionally an identity function"]], "Argument \u2018name\u2019 is a trailing implicit, so it can&#x27;t be declared non maximal": [[44, 0, 1, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]", " Please use { } instead of [ ]"]], "Cannot infer a term for this placeholder": [[44, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)", " (Casual use of implicit arguments)"], [58, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)", " (refine)"]], "Compiled library \u2018ident\u2019": [[59, 0, 1, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019", "vo makes inconsistent assumptions over library \u2018qualid\u2019"]], "Duplicate clear of H": [[57, 2, 1, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H", " Use { }H instead of { H }H"]], "File ... found twice in ..": [[59, 2, 1, "coq:warn.File-...-found-twice-in-...", ""]], "Goal is solvable by congruence but some arguments are missing": [[62, 0, 1, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms", " Try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms"]], "Library File (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Library File \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Ltac Profiler encountered an invalid stack (no self node)": [[54, 2, 1, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution", " This can happen if you reset the profile during tactic execution"]], "Ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Nested proofs are discouraged and not allowed by default. This error probably means that you forgot to close the last &quot;Proof.&quot; with &quot;Qed.&quot; or &quot;Defined.&quot;": [[32, 0, 1, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on", " If you really intended to use nested proofs, you can do so by turning the &quot;Nested Proofs Allowed&quot; flag on"]], "New coercion path ... is ambiguous with existing ..": [[4, 2, 1, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-...", ""]], "No information can be deduced from this equality and the injectivity of constructors. This may be because the terms are convertible, or due to pattern matching restrictions in the sort Prop": [[67, 0, 1, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities", " You can try to use option Set Keep Proof Equalities"]], "No such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ..": [[58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)", ")"]], "No such goal": [[54, 0, 1, "coq:exn.No-such-goal.-(Goal-selector)", " (Goal selector)"], [54, 0, 1, "coq:exn.No-such-goal.-(fail)", " (fail)"], [66, 0, 1, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019", " Focus next goal with bullet \u2018bullet\u2019"], [66, 0, 1, "coq:exn.No-such-goal.-Try-unfocusing-with-}", " Try unfocusing with }"]], "Notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Proof is not complete": [[66, 0, 1, "coq:exn.Proof-is-not-complete.-(abstract)", " (abstract)"], [58, 0, 1, "coq:exn.Proof-is-not-complete.-(assert)", " (assert)"]], "Require inside a module is deprecated and strongly discouraged": [[59, 2, 1, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one", " You can Require a module at toplevel and optionally Import it inside another one"]], "Required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ..": [[59, 0, 1, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)", ")"]], "SSReflect: cannot obtain new equations out of ..": [[57, 2, 1, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-...", ""]], "Tactic Notation \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "The file \u2018ident\u2019": [[59, 0, 1, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019", "vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019"]], "The relation \u2018ident\u2019 is not a declared reflexive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared symmetric relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared transitive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "This command is just asserting the names of arguments of \u2018qualid\u2019. If this is what you want, add &#x27;: assert&#x27; to silence the warning. If you want to clear implicit arguments, add &#x27;: clear implicits&#x27;": [[41, 2, 1, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'", " If you want to clear notation scopes, add &#x27;: clear scopes&#x27;"]], "This hint is not local but depends on a section variable": [[60, 2, 1, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed", " It will disappear when the section is closed"]], "Type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. Expected type is: \u2018type\u2019 instead of \u2018type\u2019": [[71, 2, 1, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation", " This might yield ill typed terms when using the notation"]], "Unable to apply lemma of type &quot;...&quot; on hypothesis of type &quot;..": [[58, 0, 1, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"", "&quot;"]], "Unused variable \u2018ident\u2019 might be a misspelled constructor. Use _ or _\u2018ident\u2019 to silence this warning": [[46, 2, 1, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning.", ""]], "package-name": [[59, 0, 1, "coq:exn.package-name.foo-and-not-foo_plugin", "foo and not foo_plugin"]], "plugin name anymore": [[59, 0, 1, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their", " Plugins should be loaded using their"]], "\u2018ident\u2019 already exists": [[28, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)", " (Axiom)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)", " (Definition)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)", " (Theorem)"]], "\u2018qualid\u2019 should go from Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)", "string to \u2018type\u2019 or (option \u2018type\u2019)"]], "\u2018qualid\u2019 should go from Number.int to \u2018type\u2019 or (option \u2018type\u2019). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or PrimFloat.float or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 or PrimFloat first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to Number.int or (option Number.int). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to T or (option T), where T is either Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string", "string"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by &quot;_&quot;"]], "\u2018string\u2019 cannot be interpreted as a known notation": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by &quot;_&quot;"]]}, "objtypes": {"0": "coq:exn", "1": "coq:tacn", "2": "coq:warn", "3": "coq:cmd", "4": "coq:flag", "5": "coq:thm", "6": "coq:opt", "7": "coq:attr", "8": "coq:table", "9": "coq:tacv"}, "objnames": {"0": ["coq", "exn", "Coq exn"], "1": ["coq", "tacn", "Coq tacn"], "2": ["coq", "warn", "Coq warn"], "3": ["coq", "cmd", "Coq cmd"], "4": ["coq", 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"positivstellensatz-refutations"]], "lra: a decision procedure for linear real and rational arithmetic": [[5, "lra-a-decision-procedure-for-linear-real-and-rational-arithmetic"]], "lia: a tactic for linear integer arithmetic": [[5, "lia-a-tactic-for-linear-integer-arithmetic"]], "High level view of lia": [[5, "high-level-view-of-lia"]], "Cutting plane proofs": [[5, "cutting-plane-proofs"]], "Example: Cutting plane": [[5, null]], "Case split": [[5, "case-split"]], "nra: a proof procedure for non-linear arithmetic": [[5, "nra-a-proof-procedure-for-non-linear-arithmetic"]], "nia: a proof procedure for non-linear integer arithmetic": [[5, "nia-a-proof-procedure-for-non-linear-integer-arithmetic"]], "psatz: a proof procedure for non-linear arithmetic": [[5, "psatz-a-proof-procedure-for-non-linear-arithmetic"]], "zify: pre-processing of arithmetic goals": [[5, "zify-pre-processing-of-arithmetic-goals"]], "Example: Lra": [[5, "lra-example"]], "Program derivation": [[6, "program-derivation"]], 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issues": [[17, "potential-compatibility-issues"]], "Details of changes in 8.7+beta1": [[17, "details-of-changes-in-8-7-beta1"]], "Details of changes in 8.7+beta2": [[17, "details-of-changes-in-8-7-beta2"]], "Details of changes in 8.7.0": [[17, "details-of-changes-in-8-7-0"]], "Details of changes in 8.7.1": [[17, "details-of-changes-in-8-7-1"]], "Details of changes in 8.7.2": [[17, "details-of-changes-in-8-7-2"]], "Version 8.6": [[17, "version-8-6"]], "Potential sources of incompatibilities": [[17, "potential-sources-of-incompatibilities"], [17, "id2151"], [17, "id2154"]], "Details of changes in 8.6beta1": [[17, "details-of-changes-in-8-6beta1"]], "Details of changes in 8.6": [[17, "details-of-changes-in-8-6"]], "Details of changes in 8.6.1": [[17, "details-of-changes-in-8-6-1"]], "Version 8.5": [[17, "version-8-5"]], "Details of changes in 8.5beta1": [[17, "details-of-changes-in-8-5beta1"]], "Details of changes in 8.5beta2": [[17, "details-of-changes-in-8-5beta2"]], "Details of changes in 8.5beta3": [[17, "details-of-changes-in-8-5beta3"]], "Details of changes in 8.5": [[17, "details-of-changes-in-8-5"]], "Details of changes in 8.5pl1": [[17, "details-of-changes-in-8-5pl1"]], "Details of changes in 8.5pl2": [[17, "details-of-changes-in-8-5pl2"]], "Details of changes in 8.5pl3": [[17, "details-of-changes-in-8-5pl3"]], "Version 8.4": [[17, "version-8-4"]], "Details of changes in 8.4beta": [[17, "details-of-changes-in-8-4beta"]], "Details of changes in 8.4beta2": [[17, "details-of-changes-in-8-4beta2"]], "Details of changes in 8.4": [[17, "details-of-changes-in-8-4"]], "Version 8.3": [[17, "version-8-3"]], "Details of changes": [[17, "details-of-changes"], [17, "id2157"], [24, "details-of-changes"]], "Version 8.2": [[17, "version-8-2"]], "Version 8.1": [[17, "version-8-1"]], "Details of changes in 8.1beta": [[17, "details-of-changes-in-8-1beta"]], "Details of changes in 8.1gamma": [[17, "details-of-changes-in-8-1gamma"]], "Details of changes in 8.1": [[17, "details-of-changes-in-8-1"]], "Version 8.0": [[17, "version-8-0"]], "Details of changes in 8.0beta old syntax": [[17, "details-of-changes-in-8-0beta-old-syntax"]], "Details of changes in 8.0beta new syntax": [[17, "details-of-changes-in-8-0beta-new-syntax"]], "Details of changes in 8.0": [[17, "details-of-changes-in-8-0"]], "Attribute index": [[18, "attribute-index"]], "Command index": [[19, "command-index"]], "Errors and warnings index": [[20, "errors-and-warnings-index"]], "Flags, options and tables index": [[21, "flags-options-and-tables-index"]], "Tactic index": [[22, "tactic-index"]], "General index": [[23, "general-index"]], "Early history of Coq": [[24, "early-history-of-coq"]], "Historical roots": [[24, "historical-roots"]], "Versions 1 to 5": [[24, "versions-1-to-5"]], "Version 1": [[24, "version-1"]], "Version 2": [[24, "version-2"]], "Version 3": [[24, "version-3"]], "Version 4": [[24, "version-4"]], "Version 5": [[24, "version-5"]], "Versions 6": [[24, "versions-6"]], "Version 6.1": [[24, "version-6-1"]], "Version 6.2": [[24, "version-6-2"]], "Version 6.3": [[24, "version-6-3"]], "Versions 7": [[24, "versions-7"]], "Details of changes in 7.0 and 7.1": [[24, "details-of-changes-in-7-0-and-7-1"]], "Main novelties": [[24, "main-novelties"]], "Language: new \"let-in\" construction": [[24, "language-new-let-in-construction"]], "Language: long names": [[24, "language-long-names"]], "Language: miscellaneous": [[24, "language-miscellaneous"]], "Language: Cases": [[24, "language-cases"]], "Reduction": [[24, "reduction"], [37, "reduction"], [55, "reduction"]], "New tactics": [[24, "new-tactics"]], "Changes in existing tactics": [[24, "changes-in-existing-tactics"]], "Efficiency": [[24, "efficiency"]], "Concrete syntax of constructions": [[24, "concrete-syntax-of-constructions"]], "Parsing and grammar extension": [[24, "parsing-and-grammar-extension"]], "New commands": [[24, "new-commands"]], "Changes in existing commands": [[24, "changes-in-existing-commands"]], "New user contributions": [[24, "new-user-contributions"]], "Details of changes in 7.2": [[24, "details-of-changes-in-7-2"]], "Details of changes in 7.3": [[24, "details-of-changes-in-7-3"]], "Changes in 7.3.1": [[24, "changes-in-7-3-1"]], "Details of changes in 7.4": [[24, "details-of-changes-in-7-4"]], "Introduction and Contents": [[25, "introduction-and-contents"]], "Contents": [[25, "contents"]], "Specification language": [[25, null]], "Proofs": [[25, null]], "Using the Rocq Prover": [[25, null]], "Appendix": [[25, null]], "Typing rules": [[26, "typing-rules"], [26, "id4"]], "The terms": [[26, "the-terms"]], "Subtyping rules": [[26, "subtyping-rules"]], "The Calculus of Inductive Constructions with impredicative Set": [[26, "the-calculus-of-inductive-constructions-with-impredicative-set"]], "The Coq libraries": [[27, "the-coq-libraries"]], "The prelude": [[27, "the-prelude"]], "Logic": [[27, "logic"]], "Propositional Connectives": [[27, "propositional-connectives"]], "Quantifiers": [[27, "quantifiers"]], "Equality": [[27, "equality"]], "Lemmas": [[27, "lemmas"]], "Datatypes": [[27, "datatypes"]], "Programming": [[27, "programming"]], "Specification": [[27, "specification"]], "Basic Arithmetic": [[27, "basic-arithmetic"]], "Well-founded recursion": [[27, "well-founded-recursion"]], "Users\u2019 contributions": [[27, "users-contributions"]], "Functions and assumptions": [[28, "functions-and-assumptions"]], "Binders": [[28, "binders"]], "Functions (fun) and function types (forall)": [[28, "functions-fun-and-function-types-forall"]], "Function application": [[28, "function-application"]], "Assumptions": [[28, "assumptions"]], "Example: Simple assumptions": [[28, null]], "Basic notions and conventions": [[29, "basic-notions-and-conventions"]], "Syntax and lexical conventions": [[29, "syntax-and-lexical-conventions"]], "Syntax conventions": [[29, "syntax-conventions"]], "Lexical conventions": [[29, "lexical-conventions"]], "Example: Stack overflow with nat": [[29, null]], "Essential vocabulary": [[29, "essential-vocabulary"]], "Attributes": [[29, "attributes"]], "Generic attributes": [[29, "generic-attributes"]], "Document-level attributes": [[29, "document-level-attributes"]], "Flags, Options and Tables": [[29, "flags-options-and-tables"]], "Locality attributes supported by Set and Unset": [[29, "locality-attributes-supported-by-set-and-unset"]], "Coinductive types and corecursive functions": [[30, "coinductive-types-and-corecursive-functions"]], "Coinductive types": [[30, "coinductive-types"]], "Caveat": [[30, "caveat"]], "Co-recursive functions: cofix": [[30, "co-recursive-functions-cofix"]], "Top-level definitions of corecursive functions": [[30, "top-level-definitions-of-corecursive-functions"]], "Conversion rules": [[31, "conversion-rules"]], "\u03b1-conversion": [[31, "conversion"]], "\u03b2-reduction": [[31, "reduction"]], "\u03b4-reduction": [[31, "delta-reduction-sect"]], "\u03b9-reduction": [[31, "id4"]], "\u03b6-reduction": [[31, "id6"]], "\u03b7-expansion": [[31, "expansion"]], "Example: Simple delta, fix, beta and match reductions": [[31, null]], "Proof Irrelevance": [[31, "proof-irrelevance"]], "Convertibility": [[31, "convertibility"]], "Let-in definitions": [[32, "let-in-definitions"]], "Type cast": [[32, "type-cast"]], "Top-level definitions": [[32, "top-level-definitions"]], "Assertions and proofs": [[32, "assertions-and-proofs"]], "Core language": [[33, "core-language"]], "Inductive types and recursive functions": [[34, "inductive-types-and-recursive-functions"]], "Inductive types": [[34, "inductive-types"]], "Simple inductive types": [[34, "simple-inductive-types"]], "Automatic Prop lowering": [[34, "automatic-prop-lowering"]], "Simple indexed inductive types": [[34, "simple-indexed-inductive-types"]], "Parameterized inductive types": [[34, "parameterized-inductive-types"]], "Mutually defined inductive types": [[34, "mutually-defined-inductive-types"]], "Example: Mutually defined inductive types": [[34, null]], "Recursive functions: fix": [[34, "recursive-functions-fix"]], "Top-level recursive functions": [[34, "top-level-recursive-functions"]], "Example: Mutual fixpoints": [[34, null]], "Theory of inductive definitions": [[34, "theory-of-inductive-definitions"]], "Types of inductive objects": [[34, "types-of-inductive-objects"]], "Well-formed inductive definitions": [[34, "well-formed-inductive-definitions"]], "Arity of a given sort": [[34, "arity-of-a-given-sort"]], "Arity": [[34, "arity"]], "Type of constructor": [[34, "type-of-constructor"]], "Positivity Condition": [[34, "positivity-condition"]], "Strict positivity": [[34, "strict-positivity"]], "Nested Positivity": [[34, "nested-positivity"]], "Correctness rules": [[34, "correctness-rules"]], "Example: Negative occurrence (first example)": [[34, null]], "Example: Negative occurrence (second example)": [[34, null]], "Example: Non strictly positive occurrence": [[34, null]], "Template polymorphism": [[34, "template-polymorphism"]], "Destructors": [[34, "destructors"]], "The match ... with ... end construction": [[34, "the-match-with-end-construction"]], "Fixpoint definitions": [[34, "fixpoint-definitions"]], "Typing rule": [[34, "id10"]], "Reduction rule": [[34, "reduction-rule"]], "The Module System": [[35, "the-module-system"]], "Modules and module types": [[35, "modules-and-module-types"]], "Using modules": [[35, "using-modules"]], "Example: Defining a simple module interactively": [[35, null]], "Example: Defining a simple module type interactively": [[35, "example-def-simple-module-type"]], "Example: Creating a new module that omits some items from an existing module": [[35, "example-filter-module"]], "Example: Creating a functor (a module with parameters)": [[35, null]], "Example: A module type with two sub-modules, sharing some fields": [[35, null]], "Qualified names": [[35, "qualified-names"]], "Controlling the scope of commands with locality attributes": [[35, "controlling-the-scope-of-commands-with-locality-attributes"]], "Summary of locality attributes in a module": [[35, "summary-of-locality-attributes-in-a-module"]], "Typing Modules": [[35, "typing-modules"]], "Primitive objects": [[36, "primitive-objects"]], "Primitive Integers": [[36, "primitive-integers"]], "Primitive Floats": [[36, "primitive-floats"]], "Primitive Arrays": [[36, "primitive-arrays"]], "Primitive (Byte-Based) Strings": [[36, "primitive-byte-based-strings"]], "Record types": [[37, "record-types"]], "Defining record types": [[37, "defining-record-types"]], "Example: Defining a record": [[37, null]], "Example: Reusing a field name in multiple records": [[37, null]], "Example: Using the \"as\" clause in a record definition": [[37, null]], "Example: Argument name for a record type created using Class": [[37, null]], "Constructing records": [[37, "constructing-records"]], "Example: Constructing 1/2 as a record": [[37, null]], "Accessing fields (projections)": [[37, "accessing-fields-projections"]], "Example: Accessing record fields": [[37, null]], "Example: Matching on records": [[37, null]], "Example: Accessing anonymous record fields with match": [[37, null]], "Settings for printing records": [[37, "settings-for-printing-records"]], "Primitive Projections": [[37, "primitive-projections"]], "Compatibility Constants for Projections": [[37, "compatibility-constants-for-projections"]], "Sections": [[38, "sections"], [75, "sections"]], "Using sections": [[38, "using-sections"]], "Example: Section-local declarations": [[38, "section-local-declarations"]], "Summary of locality attributes in a section": [[38, "summary-of-locality-attributes-in-a-section"]], "Typing rules used at the end of a section": [[38, "typing-rules-used-at-the-end-of-a-section"]], "Sorts": [[39, "sorts"]], "Variants and the match construct": [[40, "variants-and-the-match-construct"]], "Variants": [[40, "id1"]], "Private (matching) inductive types": [[40, "private-matching-inductive-types"]], "Definition by cases: match": [[40, "definition-by-cases-match"]], "Setting properties of a function's arguments": [[41, "setting-properties-of-a-function-s-arguments"]], "Manual declaration of implicit arguments": [[41, "manual-declaration-of-implicit-arguments"]], "Example: Multiple alternatives with implicits_alt": [[41, "example-more-implicits"]], "Automatic declaration of implicit arguments": [[41, "automatic-declaration-of-implicit-arguments"]], "Example: Default implicits": [[41, null]], "Renaming implicit arguments": [[41, "renaming-implicit-arguments"]], "Example: (continued)  Renaming implicit arguments": [[41, null]], "Binding arguments to scopes": [[41, "binding-arguments-to-scopes"]], "Effects of Arguments on unfolding": [[41, "effects-of-arguments-on-unfolding"]], "Bidirectionality hints": [[41, "bidirectionality-hints"]], "Example: Bidirectionality hints": [[41, null]], "Canonical Structures": [[42, "canonical-structures"]], "Declaration of canonical structures": [[42, "declaration-of-canonical-structures"]], "Notation overloading": [[42, "notation-overloading"]], "Derived Canonical Structures": [[42, "derived-canonical-structures"]], "Hierarchy of structures": [[42, "hierarchy-of-structures"]], "Compact declaration of Canonical Structures": [[42, "compact-declaration-of-canonical-structures"]], "Existential variables": [[43, "existential-variables"]], "Inferable subterms": [[43, "inferable-subterms"]], "e* tactics that can create existential variables": [[43, "e-tactics-that-can-create-existential-variables"]], "Example: apply vs eapply": [[43, null]], "Automatic resolution of existential variables": [[43, "automatic-resolution-of-existential-variables"]], "Example: Automatic resolution of existential variables": [[43, "automatic-evar-resolution"]], "Explicit display of existential instances for pretty-printing": [[43, "explicit-display-of-existential-instances-for-pretty-printing"]], "Solving existential variables using tactics": [[43, "solving-existential-variables-using-tactics"]], "Implicit arguments": [[44, "implicit-arguments"]], "The different kinds of implicit arguments": [[44, "the-different-kinds-of-implicit-arguments"]], "Implicit arguments inferable from the knowledge of other arguments of a function": [[44, "implicit-arguments-inferable-from-the-knowledge-of-other-arguments-of-a-function"]], "Implicit arguments inferable by resolution": [[44, "implicit-arguments-inferable-by-resolution"]], "Maximal and non-maximal insertion of implicit arguments": [[44, "maximal-and-non-maximal-insertion-of-implicit-arguments"]], "Trailing Implicit Arguments": [[44, "trailing-implicit-arguments"]], "Casual use of implicit arguments": [[44, "casual-use-of-implicit-arguments"]], "Declaration of implicit arguments": [[44, "declaration-of-implicit-arguments"]], "Implicit Argument Binders": [[44, "implicit-argument-binders"]], "Mode for automatic declaration of implicit arguments": [[44, "mode-for-automatic-declaration-of-implicit-arguments"]], "Controlling strict implicit arguments": [[44, "controlling-strict-implicit-arguments"]], "Controlling contextual implicit arguments": [[44, "controlling-contextual-implicit-arguments"]], "Controlling reversible-pattern implicit arguments": [[44, "controlling-reversible-pattern-implicit-arguments"]], "Controlling the insertion of implicit arguments not followed by explicit arguments": [[44, "controlling-the-insertion-of-implicit-arguments-not-followed-by-explicit-arguments"]], "Combining manual declaration and automatic declaration": [[44, "combining-manual-declaration-and-automatic-declaration"]], "Explicit applications": [[44, "explicit-applications"]], "Example: Syntax for explicitly giving implicit arguments (continued)": [[44, null]], "Displaying implicit arguments": [[44, "displaying-implicit-arguments"]], "Displaying implicit arguments when pretty-printing": [[44, "displaying-implicit-arguments-when-pretty-printing"]], "Interaction with subtyping": [[44, "interaction-with-subtyping"]], "Deactivation of implicit arguments for parsing": [[44, "deactivation-of-implicit-arguments-for-parsing"]], "Implicit types of variables": [[44, "implicit-types-of-variables"]], "Implicit generalization": [[44, "implicit-generalization"]], "Language extensions": [[45, "language-extensions"]], "Extended pattern matching": [[46, "extended-pattern-matching"]], "Variants and extensions of match": [[46, "variants-and-extensions-of-match"]], "Multiple and nested pattern matching": [[46, "multiple-and-nested-pattern-matching"]], "Pattern-matching on boolean values: the if expression": [[46, "pattern-matching-on-boolean-values-the-if-expression"]], "Irrefutable patterns: the destructuring let variants": [[46, "irrefutable-patterns-the-destructuring-let-variants"]], "First destructuring let syntax": [[46, "first-destructuring-let-syntax"]], "Second destructuring let syntax": [[46, "second-destructuring-let-syntax"]], "Controlling pretty-printing of match expressions": [[46, "controlling-pretty-printing-of-match-expressions"]], "Printing nested patterns": [[46, "printing-nested-patterns"]], "Factorization of clauses with same right-hand side": [[46, "factorization-of-clauses-with-same-right-hand-side"]], "Use of a default clause": [[46, "use-of-a-default-clause"]], "Printing of wildcard patterns": [[46, "printing-of-wildcard-patterns"]], "Printing of the elimination predicate": [[46, "printing-of-the-elimination-predicate"]], "Printing of hidden subterms": [[46, "printing-of-hidden-subterms"]], "Printing matching on irrefutable patterns": [[46, "printing-matching-on-irrefutable-patterns"]], "Printing matching on booleans": [[46, "printing-matching-on-booleans"]], "Conventions about unused pattern-matching variables": [[46, "conventions-about-unused-pattern-matching-variables"]], "Patterns": [[46, "patterns"]], "Multiple patterns": [[46, "multiple-patterns"]], "Aliasing subpatterns": [[46, "aliasing-subpatterns"]], "Nested patterns": [[46, "nested-patterns"]], "Disjunctive patterns": [[46, "disjunctive-patterns"]], "About patterns of parametric types": [[46, "about-patterns-of-parametric-types"]], "Parameters in patterns": [[46, "parameters-in-patterns"]], "Implicit arguments in patterns": [[46, "implicit-arguments-in-patterns"]], "Matching objects of dependent types": [[46, "matching-objects-of-dependent-types"]], "Understanding dependencies in patterns": [[46, "understanding-dependencies-in-patterns"]], "When the elimination predicate must be provided": [[46, "when-the-elimination-predicate-must-be-provided"]], "Dependent pattern matching": [[46, "dependent-pattern-matching"]], "Multiple dependent pattern matching": [[46, "multiple-dependent-pattern-matching"]], "Patterns in in": [[46, "patterns-in-in"]], "Using pattern matching to write proofs": [[46, "using-pattern-matching-to-write-proofs"]], "Pattern-matching on inductive objects involving local definitions": [[46, "pattern-matching-on-inductive-objects-involving-local-definitions"]], "Pattern-matching and coercions": [[46, "pattern-matching-and-coercions"]], "When does the expansion strategy fail?": [[46, "when-does-the-expansion-strategy-fail"]], "The Rocq Prover commands": [[51, "the-rocq-prover-commands"]], "Interactive use (coqtop)": [[51, "interactive-use-coqtop"]], "Batch compilation (coqc)": [[51, "batch-compilation-coqc"]], "Example: Compiling and loading a single file": [[51, null]], "Customization at launch time": [[51, "customization-at-launch-time"]], "Command parameters": [[51, "command-parameters"]], "coqrc start up script": [[51, "coqrc-start-up-script"]], "Environment variables": [[51, "environment-variables"]], "Command line options": [[51, "command-line-options"], [75, "command-line-options"]], "Profiling": [[51, "profiling"], [55, "profiling"]], "Compiled interfaces (produced using -vos)": [[51, "compiled-interfaces-produced-using-vos"]], "Compiled libraries checker (coqchk)": [[51, "compiled-libraries-checker-coqchk"]], "Managing files and buffers, basic editing": [[52, "managing-files-and-buffers-basic-editing"]], "Running Coq scripts": [[52, "running-coq-scripts"]], "Asynchronous mode": [[52, "asynchronous-mode"]], "Commands and templates": [[52, "commands-and-templates"]], "Queries": [[52, "queries"]], "Compilation": [[52, "compilation"]], "Customizations": [[52, "customizations"]], "Preferences": [[52, "preferences"]], "Key bindings": [[52, "key-bindings"]], "Using Unicode symbols": [[52, "using-unicode-symbols"]], "Displaying Unicode symbols": [[52, "displaying-unicode-symbols"]], "Bindings for input of Unicode symbols": [[52, "bindings-for-input-of-unicode-symbols"]], "Adding custom bindings": [[52, "adding-custom-bindings"]], "Character encoding for saved files": [[52, "character-encoding-for-saved-files"]], "Debugger": [[52, "debugger"]], "Breakpoints": [[52, "breakpoints"]], "Call Stack and Variables": [[52, "call-stack-and-variables"]], "Supported use cases": [[52, "supported-use-cases"]], "Building Rocq Projects": [[53, "building-rocq-projects"]], "Rocq configuration basics": [[53, "rocq-configuration-basics"]], "Installing the Rocq Prover and Rocq packages with opam": [[53, "installing-the-rocq-prover-and-rocq-packages-with-opam"]], "Setup for working on your own projects": [[53, "setup-for-working-on-your-own-projects"]], "Building a project with _CoqProject (overview)": [[53, "building-a-project-with-coqproject-overview"]], "Logical paths and the load path": [[53, "logical-paths-and-the-load-path"]], "Modifying multiple interdependent projects at the same time": [[53, "modifying-multiple-interdependent-projects-at-the-same-time"]], "Installed and uninstalled packages": [[53, "installed-and-uninstalled-packages"]], "Upgrading to a new version of Rocq": [[53, "upgrading-to-a-new-version-of-rocq"]], "Building a Rocq project with coq_makefile (details)": [[53, "building-a-rocq-project-with-coq-makefile-details"]], "Comments": [[53, "comments"]], "Quoting arguments to coqc": [[53, "quoting-arguments-to-coqc"]], "Forbidden filenames": [[53, "forbidden-filenames"]], "Warning: No common logical root": [[53, "warning-no-common-logical-root"]], "CoqMakefile.local": [[53, "coqmakefile-local"]], "CoqMakefile.local-late": [[53, "coqmakefile-local-late"]], "Timing targets and performance testing": [[53, "timing-targets-and-performance-testing"]], "Building a subset of the targets with -j": [[53, "building-a-subset-of-the-targets-with-j"]], "Precompiling for native_compute": [[53, "precompiling-for-native-compute"]], "The grammar of _CoqProject": [[53, "the-grammar-of-coqproject"]], "Building a Rocq project with Dune": [[53, "building-a-rocq-project-with-dune"]], "coqdep: Computing Module dependencies": [[53, "coqdep-computing-module-dependencies"]], "Split compilation of native computation files": [[53, "split-compilation-of-native-computation-files"]], "Using Rocq as a library": [[53, "using-rocq-as-a-library"]], "Embedded Rocq phrases inside LaTeX documents": [[53, "embedded-rocq-phrases-inside-latex-documents"]], "Man pages": [[53, "man-pages"]], "Ltac": [[54, "ltac"]], "Example: Basic tactic macros": [[54, null]], "Defects": [[54, "defects"]], "Syntax": [[54, "syntax"], [55, "syntax"], [57, "syntax"], [71, "syntax"]], "Values": [[54, "values"]], "Syntactic values": [[54, "syntactic-values"]], "Substitution": [[54, "substitution"]], "Example: Substitution of global and local symbols": [[54, null]], "Local definitions: let": [[54, "local-definitions-let"]], "Function construction and application": [[54, "function-construction-and-application"]], "Tactics in terms": [[54, "tactics-in-terms"]], "Goal selectors": [[54, "goal-selectors"]], "Example: Selector reordering goals": [[54, "reordering-goals-ex"]], "Processing multiple goals": [[54, "processing-multiple-goals"]], "Example: Multiple focused goals": [[54, null]], "Branching and backtracking": [[54, "branching-and-backtracking"]], "Example: Backtracking": [[54, null]], "Control flow": [[54, "control-flow"], [57, "control-flow"]], "Sequence: ;": [[54, "sequence"]], "Do loop": [[54, "do-loop"]], "Repeat loop": [[54, "repeat-loop"]], "Catching errors: try": [[54, "catching-errors-try"]], "Conditional branching: tryif": [[54, "conditional-branching-tryif"]], "Alternatives": [[54, "alternatives"]], "Branching with backtracking: +": [[54, "branching-with-backtracking"]], "Example: Backtracking branching with +": [[54, null]], "Local application of tactics: [> ... ]": [[54, "local-application-of-tactics"]], "First tactic to succeed": [[54, "first-tactic-to-succeed"]], "Example: Backtracking inside a non-backtracking construct": [[54, null]], "Example: Referring to a list of tactics in Tactic Notation": [[54, null]], "Solving": [[54, "solving"]], "First tactic to make progress: ||": [[54, "first-tactic-to-make-progress"]], "Detecting progress": [[54, "detecting-progress"]], "Success and failure": [[54, "success-and-failure"]], "Checking for success: assert_succeeds": [[54, "checking-for-success-assert-succeeds"]], "Checking for failure: assert_fails": [[54, "checking-for-failure-assert-fails"]], "Failing": [[54, "failing"]], "Soft cut: once": [[54, "soft-cut-once"]], "Checking for a single success: exactly_once": [[54, "checking-for-a-single-success-exactly-once"]], "Manipulating values": [[54, "manipulating-values"]], "Pattern matching on terms: match": [[54, "pattern-matching-on-terms-match"]], "Example: Comparison of lazymatch and match": [[54, null]], "Example: Comparison of match and multimatch": [[54, null]], "Example: Matching a pattern with holes": [[54, null]], "Example: Multiple matches for a \"context\" pattern.": [[54, null]], "Pattern matching on goals and hypotheses: match goal": [[54, "pattern-matching-on-goals-and-hypotheses-match-goal"]], "Example: Matching hypotheses": [[54, null]], "Example: Matching hypotheses with reverse": [[54, null], [55, "ltac2-match-goal-hyps-rev-ex"]], "Example: Multiple ways to match hypotheses": [[54, null]], "Filling a term context": [[54, "filling-a-term-context"]], "Example: Substituting a matched context": [[54, null]], "Generating fresh hypothesis names": [[54, "generating-fresh-hypothesis-names"]], "Computing in a term: eval": [[54, "computing-in-a-term-eval"]], "Getting the type of a term": [[54, "getting-the-type-of-a-term"]], "Manipulating untyped terms: type_term": [[54, "manipulating-untyped-terms-type-term"]], "Counting goals: numgoals": [[54, "counting-goals-numgoals"]], "Testing boolean expressions: guard": [[54, "testing-boolean-expressions-guard"]], "Example: guard": [[54, null]], "Checking properties of terms": [[54, "checking-properties-of-terms"]], "Example: is_fix": [[54, null]], "Example: is_cofix": [[54, null]], "Example: is_proj": [[54, null]], "Timing": [[54, "timing"]], "Timeout": [[54, "timeout"]], "Timing a tactic": [[54, "timing-a-tactic"]], "Timing a tactic that evaluates to a term: time_constr": [[54, "timing-a-tactic-that-evaluates-to-a-term-time-constr"]], "Print/identity tactic: idtac": [[54, "print-identity-tactic-idtac"]], "Tactic toplevel definitions": [[54, "tactic-toplevel-definitions"]], "Defining Ltac symbols": [[54, "defining-ltac-symbols"]], "Printing Ltac tactics": [[54, "printing-ltac-tactics"]], "Examples of using Ltac": [[54, "examples-of-using-ltac"]], "Proof that the natural numbers have at least two elements": [[54, "proof-that-the-natural-numbers-have-at-least-two-elements"]], "Example: Proof that the natural numbers have at least two elements": [[54, null]], "Proving that a list is a permutation of a second list": [[54, "proving-that-a-list-is-a-permutation-of-a-second-list"]], "Example: Proving that a list is a permutation of a second list": [[54, null]], "Deciding intuitionistic propositional logic": [[54, "deciding-intuitionistic-propositional-logic"]], "Deciding type isomorphisms": [[54, "deciding-type-isomorphisms"]], "Debugging Ltac tactics": [[54, "debugging-ltac-tactics"]], "Backtraces": [[54, "backtraces"]], "Tracing execution": [[54, "tracing-execution"]], "Interactive debugger": [[54, "interactive-debugger"]], "Profiling Ltac tactics": [[54, "profiling-ltac-tactics"]], "Run-time optimization tactic": [[54, "run-time-optimization-tactic"]], "Ltac2": [[55, "ltac2"]], "General design": [[55, "general-design"]], "ML component": [[55, "ml-component"]], "Overview": [[55, "overview"], [55, "id3"]], "Type Syntax": [[55, "type-syntax"]], "Type declarations": [[55, "type-declarations"]], "APIs": [[55, "apis"]], "Term Syntax": [[55, "term-syntax"]], "Ltac2 Definitions": [[55, "ltac2-definitions"]], "Example: Dynamic nature of mutable cells": [[55, null]], "Example: Interaction with recursive calls": [[55, null]], "Printing Ltac2 tactics": [[55, "printing-ltac2-tactics"]], "Typing": [[55, "typing"]], "Effects": [[55, "effects"]], "Standard IO": [[55, "standard-io"]], "Fatal errors": [[55, "fatal-errors"]], "Backtracking": [[55, "backtracking"], [59, "backtracking"]], "Goals": [[55, "goals"]], "Meta-programming": [[55, "meta-programming"]], "Quotations": [[55, "quotations"]], "Built-in quotations": [[55, "built-in-quotations"]], "Strict vs. non-strict mode": [[55, "strict-vs-non-strict-mode"]], "Term Antiquotations": [[55, "term-antiquotations"]], "Semantics": [[55, "semantics"]], "Static semantics": [[55, "static-semantics"]], "Dynamic semantics": [[55, "dynamic-semantics"]], "Match over terms": [[55, "match-over-terms"]], "Example: Ltac2 Comparison of lazy_match! and match!": [[55, "ltac2-match-vs-lazymatch-ex"]], "Example: Ltac2 Comparison of match! and multi_match!": [[55, "ltac2-match-vs-multimatch-ex"]], "Example: Ltac2 Multiple matches for a \"context\" pattern.": [[55, "ltac2-match-term-context-ex"]], "Match over goals": [[55, "match-over-goals"]], "Example: Ltac2 Matching hypotheses": [[55, "ltac2-match-goal-hyps-ex"]], "Example: Multiple ways to match a hypotheses": [[55, "ltac2-match-goal-multiple-hyps-ex"]], "Match on values": [[55, "match-on-values"]], "Example: Printing a term": [[55, null]], "Example: Parsing a list of terms": [[55, null]], "Abbreviations": [[55, "abbreviations"], [57, "abbreviations"], [71, "abbreviations"]], "Defining tactics": [[55, "defining-tactics"]], "Syntactic classes": [[55, "syntactic-classes"]], "Evaluation": [[55, "evaluation"]], "Debug": [[55, "debug"]], "Compatibility layer with Ltac1": [[55, "compatibility-layer-with-ltac1"]], "Ltac1 from Ltac2": [[55, "ltac1-from-ltac2"]], "Simple API": [[55, "simple-api"]], "Low-level API": [[55, "low-level-api"]], "Ltac2 from Ltac1": [[55, "ltac2-from-ltac1"]], "Switching between Ltac languages": [[55, "switching-between-ltac-languages"]], "Transition from Ltac1": [[55, "transition-from-ltac1"]], "Syntax changes": [[55, "syntax-changes"]], "Tactic delay": [[55, "tactic-delay"]], "Variable binding": [[55, "variable-binding"]], "In Ltac expressions": [[55, "in-ltac-expressions"]], "In quotations": [[55, "in-quotations"]], "Exception catching": [[55, "exception-catching"]], "The SSReflect proof language": [[57, "the-ssr-proof-language"]], "Introduction": [[57, "introduction"]], "Acknowledgments": [[57, "acknowledgments"]], "Getting started": [[57, "getting-started"]], "Compatibility issues": [[57, "compatibility-issues"]], "Gallina extensions": [[57, "gallina-extensions"]], "Pattern assignment": [[57, "pattern-assignment"]], "Pattern conditional": [[57, "pattern-conditional"]], "Parametric polymorphism": [[57, "parametric-polymorphism"]], "Anonymous arguments": [[57, "anonymous-arguments"]], "Wildcards": [[57, "wildcards"]], "Matching": [[57, "matching"]], "Occurrence selection": [[57, "occurrence-selection"]], "Basic localization": [[57, "basic-localization"]], "Basic tactics": [[57, "basic-tactics"]], "Bookkeeping": [[57, "bookkeeping"]], "The defective tactics": [[57, "the-defective-tactics"]], "The move tactic.": [[57, "the-move-tactic"]], "The case tactic": [[57, "the-case-tactic"]], "The elim tactic": [[57, "the-elim-tactic"]], "The apply tactic": [[57, "the-apply-tactic"]], "Discharge": [[57, "discharge"]], "Clear rules": [[57, "clear-rules"]], "Matching for apply and exact": [[57, "matching-for-apply-and-exact"]], "The abstract tactic": [[57, "the-abstract-tactic"]], "Introduction in the context": [[57, "introduction-in-the-context"]], "Simplification items": [[57, "simplification-items"]], "Views": [[57, "views"]], "Intro patterns": [[57, "intro-patterns"], [58, "intro-patterns"]], "Clear switch": [[57, "clear-switch"]], "Branching and destructuring": [[57, "branching-and-destructuring"]], "Block introduction": [[57, "block-introduction"]], "Generation of equations": [[57, "generation-of-equations"]], "Type families": [[57, "type-families"]], "Indentation and bullets": [[57, "indentation-and-bullets"]], "Terminators": [[57, "terminators"]], "Selectors": [[57, "selectors"]], "Iteration": [[57, "iteration"]], "Localization": [[57, "localization"]], "Structure": [[57, "structure"]], "The have tactic.": [[57, "the-have-tactic"]], "Generating let in context entries with have": [[57, "generating-let-in-context-entries-with-have"]], "The have tactic and typeclass resolution": [[57, "the-have-tactic-and-typeclass-resolution"]], "Variants: the suff and wlog tactics": [[57, "variants-the-suff-and-wlog-tactics"]], "Advanced generalization": [[57, "advanced-generalization"]], "Rewriting": [[57, "rewriting"]], "An extended rewrite tactic": [[57, "an-extended-rewrite-tactic"]], "Remarks and examples": [[57, "remarks-and-examples"]], "Rewrite redex selection": [[57, "rewrite-redex-selection"]], "Chained rewrite steps": [[57, "chained-rewrite-steps"]], "Explicit redex switches are matched first": [[57, "explicit-redex-switches-are-matched-first"]], "Occurrence switches and redex switches": [[57, "occurrence-switches-and-redex-switches"]], "Occurrence selection and repetition": [[57, "occurrence-selection-and-repetition"]], "Multi-rule rewriting": [[57, "multi-rule-rewriting"]], "Wildcards vs abstractions": [[57, "wildcards-vs-abstractions"]], "When SSReflect rewrite fails on standard Rocq licit rewrite": [[57, "when-ssr-rewrite-fails-on-standard-rocq-licit-rewrite"]], "Existential metavariables and rewriting": [[57, "existential-metavariables-and-rewriting"]], "The under tactic": [[57, "the-under-tactic"]], "The over tactic": [[57, "the-over-tactic"]], "One-liner mode": [[57, "one-liner-mode"]], "Locking, unlocking": [[57, "locking-unlocking"]], "Congruence": [[57, "congruence"]], "Contextual patterns": [[57, "contextual-patterns"]], "Matching contextual patterns": [[57, "matching-contextual-patterns"]], "Contextual pattern in set and the : tactical": [[57, "contextual-pattern-in-set-and-the-tactical"]], "Contextual patterns in rewrite": [[57, "contextual-patterns-in-rewrite"]], "Patterns for recurrent contexts": [[57, "patterns-for-recurrent-contexts"]], "Views and reflection": [[57, "views-and-reflection"]], "Interpreting eliminations": [[57, "interpreting-eliminations"]], "Interpreting assumptions": [[57, "interpreting-assumptions"], [57, "id16"]], "Specializing assumptions": [[57, "specializing-assumptions"], [57, "id15"]], "Interpreting goals": [[57, "interpreting-goals"], [57, "id17"]], "Boolean reflection": [[57, "boolean-reflection"]], "The reflect predicate": [[57, "the-reflect-predicate"]], "General mechanism for interpreting goals and assumptions": [[57, "general-mechanism-for-interpreting-goals-and-assumptions"]], "Interpreting equivalences": [[57, "interpreting-equivalences"]], "Declaring new Hint Views": [[57, "declaring-new-hint-views"]], "Multiple views": [[57, "multiple-views"]], "Additional view shortcuts": [[57, "additional-view-shortcuts"]], "Synopsis and Index": [[57, "synopsis-and-index"]], "Parameters": [[57, "parameters"]], "Items and switches": [[57, "items-and-switches"]], "Tacticals": [[57, "tacticals"]], "Common elements of tactics": [[58, "common-elements-of-tactics"]], "Reserved keywords": [[58, "reserved-keywords"]], "Invocation of tactics": [[58, "invocation-of-tactics"]], "Bindings": [[58, "bindings"]], "Example: intro pattern for /\\": [[58, null]], "Example: intro pattern for \\/": [[58, null]], "Example: -> intro pattern": [[58, null]], "Example: [=] intro pattern": [[58, null]], "Example: (A & B & \u2026) intro pattern": [[58, null]], "Example: * intro pattern": [[58, null]], "Example: ** pattern (\"intros **\" is equivalent to \"intros\")": [[58, null]], "Example: compound intro pattern": [[58, null]], "Example: combined intro pattern using [=] -> and %": [[58, null]], "Occurrence clauses": [[58, "occurrence-clauses"]], "Applying theorems": [[58, "applying-theorems"]], "Example: Backward reasoning in the goal with apply": [[58, "apply-backward"]], "Example: Backward reasoning in the goal with apply including a premise": [[58, "apply-backward-w-premises"]], "Example: Forward reasoning in hypotheses with apply": [[58, "apply-forward"]], "Example: Apply a theorem with a binding in a goal": [[58, "apply-with-binding-goal"]], "Example: Apply a theorem with a binding in a hypothesis": [[58, "apply-with-binding-hyp"]], "Example: Applying theorems with <->": [[58, "apply-with-iff"]], "Example: Special case of second-order unification in apply": [[58, "example-apply-pattern"]], "Managing the local context": [[58, "managing-the-local-context"]], "Example: intro and intros": [[58, "intro-examples"]], "Example: intros until": [[58, null]], "Example: move": [[58, null]], "Example: set with a simple_binder": [[58, null]], "Controlling the proof flow": [[58, "controlling-the-proof-flow"]], "Example: partial application in specialize": [[58, null]], "Example: specialize with a non-dependent product": [[58, null]], "Example: contradiction tactic": [[58, null]], "Classical tactics": [[58, "classical-tactics"]], "Performance-oriented tactic variants": [[58, "performance-oriented-tactic-variants"]], "Displaying": [[59, "displaying"]], "Query commands": [[59, "query-commands"]], "Example: Searching for a pattern": [[59, "search-pattern"]], "Example: Searching for part of an identifier": [[59, "search-part-ident"]], "Example: Searching for a reference by notation": [[59, "search-by-notation"]], "Example: Disambiguating between part of identifier and notation": [[59, "search-disambiguate-notation"]], "Example: Search in hypotheses": [[59, "search-hyp"]], "Example: Search in conclusion": [[59, "search-concl"]], "Example: Search by keyword or status": [[59, "search-by-keyword"]], "Example: SearchPattern examples": [[59, null]], "Example: SearchRewrite examples": [[59, null]], "Requests to the environment": [[59, "requests-to-the-environment"]], "Example: Locate examples": [[59, null]], "Printing flags": [[59, "printing-flags"]], "Loading files": [[59, "loading-files"]], "Compiled files": [[59, "compiled-files"]], "Load paths": [[59, "load-paths"]], "Extra Dependencies": [[59, "extra-dependencies"]], "Quitting and debugging": [[59, "quitting-and-debugging"]], "Controlling display": [[59, "controlling-display"]], "Printing constructions in full": [[59, "printing-constructions-in-full"]], "Controlling Typing Flags": [[59, "controlling-typing-flags"]], "Internal registration commands": [[59, "internal-registration-commands"]], "Exposing constants to OCaml libraries": [[59, "exposing-constants-to-ocaml-libraries"]], "Inlining hints for the fast reduction machines": [[59, "inlining-hints-for-the-fast-reduction-machines"]], "Registering primitive operations": [[59, "registering-primitive-operations"]], "Programmable proof search": [[60, "programmable-proof-search"]], "Example: Ackermann function": [[60, null]], "Example: MacCarthy function": [[60, null]], "Hint databases": [[60, "hint-databases"]], "Creating hint databases": [[60, "creating-hint-databases"]], "Hint databases defined in the Rocq standard library": [[60, "hint-databases-defined-in-the-rocq-standard-library"]], "Creating Hints": [[60, "creating-hints"]], "Example: Logic programming with addition on natural numbers": [[60, null]], "Hint locality": [[60, "hint-locality"]], "Setting implicit automation tactics": [[60, "setting-implicit-automation-tactics"]], "Automatic solvers and programmable tactics": [[61, "automatic-solvers-and-programmable-tactics"]], "Solvers for logic and equality": [[62, "solvers-for-logic-and-equality"]], "Creating new tactics": [[63, "creating-new-tactics"]], "Reasoning with equalities": [[64, "reasoning-with-equalities"]], "Tactics for simple equalities": [[64, "tactics-for-simple-equalities"]], "Rewriting with Leibniz and setoid equality": [[64, "rewriting-with-leibniz-and-setoid-equality"]], "Rewriting with definitional equality": [[64, "rewriting-with-definitional-equality"]], "Applying conversion rules": [[64, "applying-conversion-rules"]], "Example: fold doesn't always undo unfold": [[64, null]], "Example: Use fold to reverse unfolding of fold_right": [[64, null]], "Fast reduction tactics: vm_compute and native_compute": [[64, "fast-reduction-tactics-vm-compute-and-native-compute"]], "Computing in a term: eval and Eval": [[64, "computing-in-a-term-eval-and-eval"]], "Controlling reduction strategies and the conversion algorithm": [[64, "controlling-reduction-strategies-and-the-conversion-algorithm"]], "Basic proof writing": [[65, "basic-proof-writing"]], "Proof mode": [[66, "proof-mode"]], "Proof State": [[66, "proof-state"]], "Entering and exiting proof mode": [[66, "entering-and-exiting-proof-mode"]], "Example: Declaring section variables": [[66, null]], "Proof using options": [[66, "proof-using-options"]], "Name a set of section hypotheses for Proof using": [[66, "name-a-set-of-section-hypotheses-for-proof-using"]], "Proof modes": [[66, "proof-modes"]], "Managing goals": [[66, "managing-goals"]], "Focusing goals": [[66, "focusing-goals"]], "Curly braces": [[66, "curly-braces"]], "Example: Working with named goals": [[66, null]], "Bullets": [[66, "bullets"]], "Example: Use of bullets": [[66, null]], "Other focusing commands": [[66, "other-focusing-commands"]], "Shelving goals": [[66, "shelving-goals"]], "Example: shelve_unifiable": [[66, null]], "Reordering goals": [[66, "reordering-goals"]], "Example: cycle": [[66, null]], "Example: swap": [[66, null]], "Example: revgoals": [[66, null]], "Proving a subgoal as a separate lemma: abstract": [[66, "proving-a-subgoal-as-a-separate-lemma-abstract"]], "Requesting information": [[66, "requesting-information"]], "Showing differences between proof steps": [[66, "showing-differences-between-proof-steps"]], "How to enable diffs": [[66, "how-to-enable-diffs"]], "How diffs are calculated": [[66, "how-diffs-are-calculated"]], "\"Show Proof\" differences": [[66, "show-proof-differences"]], "Delaying solving unification constraints": [[66, "delaying-solving-unification-constraints"]], "Proof maintenance": [[66, "proof-maintenance"]], "Controlling proof mode": [[66, "controlling-proof-mode"]], "Controlling memory usage": [[66, "controlling-memory-usage"]], "Reasoning with inductive types": [[67, "reasoning-with-inductive-types"]], "Applying constructors": [[67, "applying-constructors"]], "Example: constructor, left and right": [[67, null]], "Case analysis": [[67, "case-analysis"]], "Example: Using destruct on an argument with premises": [[67, "example-destruct-ind-concl"]], "Induction": [[67, "induction"]], "Example: induction with occurrences": [[67, null]], "Equality of inductive types": [[67, "equality-of-inductive-types"]], "Example: Proving 1 <> 2": [[67, null]], "Example: discriminate limitation: proving n <> S n": [[67, null]], "Example: inversion with as or_and_intropattern": [[67, null]], "Example: Non-dependent inversion": [[67, null]], "Example: Dependent inversion": [[67, null]], "Example: Using inversion_sigma": [[67, null]], "Helper tactics": [[67, "helper-tactics"]], "Example: Using decide to rewrite the goal": [[67, null]], "Generation of induction principles with Scheme": [[67, "generation-of-induction-principles-with-scheme"]], "Example: Induction scheme for tree and forest": [[67, null]], "Example: Predicates odd and even on naturals": [[67, null]], "Example: Scheme commands with various scheme_types": [[67, null]], "Automatic declaration of schemes": [[67, "automatic-declaration-of-schemes"]], "Combined Scheme": [[67, "combined-scheme"]], "Generation of inversion principles with Derive Inversion": [[67, "generation-of-inversion-principles-with-derive-inversion"]], "Examples of dependent destruction / dependent induction": [[67, "examples-of-dependent-destruction-dependent-induction"]], "A larger example": [[67, "a-larger-example"]], "Glossary index": [[69, "glossary-index"]], "Syntax extensions and notation scopes": [[71, "syntax-extensions-and-notation-scopes"]], "Basic notations": [[71, "basic-notations"]], "Precedences and associativity": [[71, "precedences-and-associativity"]], "Complex notations": [[71, "complex-notations"]], "Simple factorization rules": [[71, "simple-factorization-rules"]], "Use of notations for printing": [[71, "use-of-notations-for-printing"]], "The Infix command": [[71, "the-infix-command"]], "Reserving notations": [[71, "reserving-notations"]], "Simultaneous definition of terms and notations": [[71, "simultaneous-definition-of-terms-and-notations"]], "Enabling and disabling notations": [[71, "enabling-and-disabling-notations"]], "Example: Enabling and disabling notations": [[71, null]], "Displaying information about notations": [[71, "displaying-information-about-notations"]], "Example: Print Notation": [[71, null]], "Locating notations": [[71, "locating-notations"]], "Inheritance of the properties of arguments of constants bound to a notation": [[71, "inheritance-of-the-properties-of-arguments-of-constants-bound-to-a-notation"]], "Notations and binders": [[71, "notations-and-binders"]], "Binders bound in the notation and parsed as identifiers": [[71, "binders-bound-in-the-notation-and-parsed-as-identifiers"]], "Binders bound in the notation and parsed as patterns": [[71, "binders-bound-in-the-notation-and-parsed-as-patterns"]], "Binders bound in the notation and parsed as terms": [[71, "binders-bound-in-the-notation-and-parsed-as-terms"]], "Binders bound in the notation and parsed as general binders": [[71, "binders-bound-in-the-notation-and-parsed-as-general-binders"]], "Binders not bound in the notation": [[71, "binders-not-bound-in-the-notation"]], "Notations with expressions used both as binder and term": [[71, "notations-with-expressions-used-both-as-binder-and-term"]], "Notations with recursive patterns": [[71, "notations-with-recursive-patterns"]], "Notations with recursive patterns involving binders": [[71, "notations-with-recursive-patterns-involving-binders"]], "Predefined entries": [[71, "predefined-entries"]], "Custom entries": [[71, "custom-entries"]], "Notation scopes": [[71, "notation-scopes"]], "Global interpretation rules for notations": [[71, "global-interpretation-rules-for-notations"]], "Local interpretation rules for notations": [[71, "local-interpretation-rules-for-notations"]], "Opening a notation scope locally": [[71, "opening-a-notation-scope-locally"]], "Binding types or coercion classes to notation scopes": [[71, "binding-types-or-coercion-classes-to-notation-scopes"]], "Example: Binding scopes to a type": [[71, null]], "The type_scope notation scope": [[71, "the-type-scope-notation-scope"]], "The function_scope notation scope": [[71, "the-function-scope-notation-scope"]], "Notation scopes used in the standard library of Rocq": [[71, "notation-scopes-used-in-the-standard-library-of-rocq"]], "Displaying information about scopes": [[71, "displaying-information-about-scopes"]], "Numbers and strings": [[71, "numbers-and-strings"]], "Number notations": [[71, "number-notations"]], "String notations": [[71, "string-notations"]], "Example: Number Notation for radix 3": [[71, null]], "Example: Number Notation for primitive integers": [[71, "example-number-notation-primitive-int"]], "Example: Number Notation for a non-inductive type": [[71, "example-number-notation-non-inductive"]], "Example: Number Notation with implicit arguments": [[71, "example-number-notation-implicit-args"]], "Example: String Notation with a parameterized inductive type": [[71, "example-string-notation-parameterized-inductive"]], "Tactic Notations": [[71, "tactic-notations"]], "Functional induction": [[72, "functional-induction"]], "Advanced recursive functions": [[72, "advanced-recursive-functions"]], "Generation of induction principles with Functional Scheme": [[72, "generation-of-induction-principles-with-functional-scheme"]], "Libraries and plugins": [[73, "libraries-and-plugins"]], "Writing Rocq libraries and plugins": [[74, "writing-rocq-libraries-and-plugins"]], "Deprecating library objects, tactics or library files": [[74, "deprecating-library-objects-tactics-or-library-files"]], "Triggering warning for library objects or library files": [[74, "triggering-warning-for-library-objects-or-library-files"]], "Example: Deprecating a tactic.": [[74, null]], "Example: Introducing a compatibility alias": [[74, "compatibility-alias"]], "Documenting Rocq files with coqdoc": [[75, "documenting-rocq-files-with-coqdoc"]], "Principles": [[75, "principles"]], "Rocq material inside documentation.": [[75, "rocq-material-inside-documentation"]], "Pretty-printing.": [[75, "pretty-printing"]], "Lists.": [[75, "lists"]], "Rules.": [[75, "rules"]], "Emphasis.": [[75, "emphasis"]], "Escaping to LaTeX and HTML.": [[75, "escaping-to-latex-and-html"]], "Verbatim": [[75, "verbatim"]], "Hyperlinks": [[75, "hyperlinks"]], "Hiding / Showing parts of the source": [[75, "hiding-showing-parts-of-the-source"]], "The coqdoc LaTeX style file": [[75, "the-coqdoc-latex-style-file"]], "Command-line and graphical tools": [[76, "command-line-and-graphical-tools"]], "Bibliography": [[77, "bibliography"]]}, "indexentries": {"cd (command)": [[2, "coq:cmd.Cd"]], "extract callback (command)": [[2, "coq:cmd.Extract-Callback"]], "extract callback is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction"]], "extract constant (command)": [[2, "coq:cmd.Extract-Constant"]], "extract foreign constant (command)": [[2, "coq:cmd.Extract-Foreign-Constant"]], "extract foreign constant is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction"]], "extract foreign constant is supported only for functions (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions"]], "extract inductive (command)": [[2, "coq:cmd.Extract-Inductive"]], "extract inlined constant (command)": [[2, "coq:cmd.Extract-Inlined-Constant"]], "extraction (command)": [[2, "coq:cmd.Extraction"]], "extraction autoinline (flag)": [[2, "coq:flag.Extraction-AutoInline"]], "extraction blacklist (command)": [[2, "coq:cmd.Extraction-Blacklist"]], "extraction conservative types (flag)": [[2, "coq:flag.Extraction-Conservative-Types"]], "extraction file comment (option)": [[2, "coq:opt.Extraction-File-Comment"]], "extraction flag (option)": [[2, "coq:opt.Extraction-Flag"]], "extraction implicit (command)": [[2, "coq:cmd.Extraction-Implicit"]], "extraction inline (command)": [[2, "coq:cmd.Extraction-Inline"]], "extraction keepsingleton (flag)": [[2, "coq:flag.Extraction-KeepSingleton"]], "extraction language (command)": [[2, "coq:cmd.Extraction-Language"]], "extraction library (command)": [[2, "coq:cmd.Extraction-Library"]], "extraction noinline (command)": [[2, "coq:cmd.Extraction-NoInline"]], "extraction optimize (flag)": [[2, "coq:flag.Extraction-Optimize"]], "extraction output directory (option)": [[2, "coq:opt.Extraction-Output-Directory"]], "extraction safeimplicits (flag)": [[2, "coq:flag.Extraction-SafeImplicits"]], "extraction testcompile (command)": [[2, "coq:cmd.Extraction-TestCompile"]], "extraction typeexpand (flag)": [[2, "coq:flag.Extraction-TypeExpand"]], "print extraction blacklist (command)": [[2, "coq:cmd.Print-Extraction-Blacklist"]], "print extraction callback (command)": [[2, "coq:cmd.Print-Extraction-Callback"]], "print extraction foreign (command)": [[2, "coq:cmd.Print-Extraction-Foreign"]], "print extraction inline (command)": [[2, "coq:cmd.Print-Extraction-Inline"]], "pwd (command)": [[2, "coq:cmd.Pwd"]], "recursive extraction (command)": [[2, "coq:cmd.Recursive-Extraction"]], "recursive extraction library (command)": [[2, "coq:cmd.Recursive-Extraction-Library"]], "reset extraction blacklist (command)": [[2, "coq:cmd.Reset-Extraction-Blacklist"]], "reset extraction callback (command)": [[2, "coq:cmd.Reset-Extraction-Callback"]], "reset extraction inline (command)": [[2, "coq:cmd.Reset-Extraction-Inline"]], "separate extraction (command)": [[2, "coq:cmd.Separate-Extraction"]], "show extraction (command)": [[2, "coq:cmd.Show-Extraction"]], "the term \u2018qualid\u2019 is already defined as foreign custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant"]], "the term \u2018qualid\u2019 is already defined as inline custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant"]], "add morphism (command)": [[3, "coq:cmd.Add-Morphism"]], "add parametric morphism (command)": [[3, "coq:cmd.Add-Parametric-Morphism"]], "add parametric relation (command)": [[3, "coq:cmd.Add-Parametric-Relation"]], "add parametric setoid (command)": [[3, "coq:cmd.Add-Parametric-Setoid"]], "add relation (command)": [[3, "coq:cmd.Add-Relation"]], "add setoid (command)": [[3, "coq:cmd.Add-Setoid"]], "declare morphism (command)": [[3, "coq:cmd.Declare-Morphism"]], "no progress made (error)": [[3, "coq:exn.No-progress-made"]], "nothing to rewrite (error)": [[3, "coq:exn.Nothing-to-rewrite"]], "unable to satisfy the rewriting constraints (error)": [[3, "coq:exn.Unable-to-satisfy-the-rewriting-constraints"]], "head_of_constr (tactic)": [[3, "coq:tacn.head_of_constr"]], "rewrite_db (tactic)": [[3, "coq:tacn.rewrite_db"]], "rewrite_strat (tactic)": [[3, "coq:tacn.rewrite_strat"]], "setoid_etransitivity (tactic)": [[3, "coq:tacn.setoid_etransitivity"]], "setoid_reflexivity (tactic)": [[3, "coq:tacn.setoid_reflexivity"]], "setoid_replace (tactic)": [[3, "coq:tacn.setoid_replace"]], "setoid_rewrite (tactic)": [[3, "coq:tacn.setoid_rewrite"]], "setoid_symmetry (tactic)": [[3, "coq:tacn.setoid_symmetry"]], "setoid_transitivity (tactic)": [[3, "coq:tacn.setoid_transitivity"]], "... is not definitionally an identity function (warning)": [[4, "coq:warn....-is-not-definitionally-an-identity-function"]], ":> (coercion)": [[4, "index-0"]], "cannot find the source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019"]], "cannot find the target class (error)": [[4, "coq:exn.Cannot-find-the-target-class"]], "cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019"]], "coercion (command)": [[4, "coq:cmd.Coercion"]], "found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019 (error)": [[4, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019"]], "funclass cannot be a source class (error)": [[4, "coq:exn.Funclass-cannot-be-a-source-class"]], "identity coercion (command)": [[4, "coq:cmd.Identity-Coercion"]], "new coercion path ... is ambiguous with existing ... (warning)": [[4, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-..."]], "print classes (command)": [[4, "coq:cmd.Print-Classes"]], "print coercion paths (command)": [[4, "coq:cmd.Print-Coercion-Paths"]], "print coercions (command)": [[4, "coq:cmd.Print-Coercions"]], "print graph (command)": [[4, "coq:cmd.Print-Graph"]], "printing coercion (table)": [[4, "coq:table.Printing-Coercion"]], "printing coercions (flag)": [[4, "coq:flag.Printing-Coercions"]], "subclass (command)": [[4, "coq:cmd.SubClass"]], "nonuniform (attribute)": [[4, "coq:attr.nonuniform"]], "reversible (attribute)": [[4, "coq:attr.reversible"]], "\u2018coercion_class\u2019 must be a transparent constant (error)": [[4, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant"]], "\u2018qualid\u2019 does not respect the uniform inheritance condition (warning)": [[4, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition"]], "\u2018qualid\u2019 is already a coercion (error)": [[4, "coq:exn.\u2018qualid\u2019-is-already-a-coercion"]], "\u2018qualid\u2019 is not a function (error)": [[4, "coq:exn.\u2018qualid\u2019-is-not-a-function"]], "\u2018qualid\u2019 not declared (error)": [[4, "coq:exn.\u2018qualid\u2019-not-declared"]], "add zify (command)": [[5, "coq:cmd.Add-Zify"]], "bound on the ceiling function (theorem)": [[5, "coq:thm.Bound-on-the-ceiling-function"]], "case split (theorem)": [[5, "coq:thm.Case-split"]], "dump arith (option)": [[5, "coq:opt.Dump-Arith"]], "info micromega (flag)": [[5, "coq:flag.Info-Micromega"]], "lia cache (flag)": [[5, "coq:flag.Lia-Cache"]], "nia cache (flag)": [[5, "coq:flag.Nia-Cache"]], "nra cache (flag)": [[5, "coq:flag.Nra-Cache"]], "psatz (theorem)": [[5, "coq:thm.Psatz"]], "show lia profile (command)": [[5, "coq:cmd.Show-Lia-Profile"]], "show zify (command)": [[5, "coq:cmd.Show-Zify"]], "lia (tactic)": [[5, "coq:tacn.lia"]], "lra (tactic)": [[5, "coq:tacn.lra"]], "nia (tactic)": [[5, "coq:tacn.nia"]], "nra (tactic)": [[5, "coq:tacn.nra"]], "psatz (tactic)": [[5, "coq:tacn.psatz"]], "wlia (tactic)": [[5, "coq:tacn.wlia"]], "wlra_q (tactic)": [[5, "coq:tacn.wlra_Q"]], "wnia (tactic)": [[5, "coq:tacn.wnia"]], "wnra_q (tactic)": [[5, "coq:tacn.wnra_Q"]], "wpsatz_q (tactic)": [[5, "coq:tacn.wpsatz_Q"]], "wpsatz_z (tactic)": [[5, "coq:tacn.wpsatz_Z"]], "wsos_q (tactic)": [[5, "coq:tacn.wsos_Q"]], "wsos_z (tactic)": [[5, "coq:tacn.wsos_Z"]], "xlia (tactic)": [[5, "coq:tacn.xlia"]], "xlra_q (tactic)": [[5, "coq:tacn.xlra_Q"]], "xlra_r (tactic)": [[5, "coq:tacn.xlra_R"]], "xnia (tactic)": [[5, "coq:tacn.xnia"]], "xnra_q (tactic)": [[5, "coq:tacn.xnra_Q"]], "xnra_r (tactic)": [[5, "coq:tacn.xnra_R"]], "xpsatz_q (tactic)": [[5, "coq:tacn.xpsatz_Q"]], "xpsatz_r (tactic)": [[5, "coq:tacn.xpsatz_R"]], "xpsatz_z (tactic)": [[5, "coq:tacn.xpsatz_Z"]], "xsos_q (tactic)": [[5, "coq:tacn.xsos_Q"]], "xsos_r (tactic)": [[5, "coq:tacn.xsos_R"]], "xsos_z (tactic)": [[5, "coq:tacn.xsos_Z"]], "zify (tactic)": [[5, "coq:tacn.zify"]], "zify_elim_let (tactic)": [[5, "coq:tacn.zify_elim_let"]], "zify_iter_let (tactic)": [[5, "coq:tacn.zify_iter_let"]], "zify_iter_specs (tactic)": [[5, "coq:tacn.zify_iter_specs"]], "zify_op (tactic)": [[5, "coq:tacn.zify_op"]], "zify_saturate (tactic)": [[5, "coq:tacn.zify_saturate"]], "derive (command)": [[6, "coq:cmd.Derive"]], "nsatz (tactic)": [[7, "coq:tacn.nsatz"]], "nsatz_compute (tactic)": [[7, "coq:tacn.nsatz_compute"]], "admit obligations (command)": [[9, "coq:cmd.Admit-Obligations"]], "final obligation (command)": [[9, "coq:cmd.Final-Obligation"]], "ill-formed recursive definition (error)": [[9, "coq:exn.Ill-formed-recursive-definition"]], "next obligation (command)": [[9, "coq:cmd.Next-Obligation"]], "non extensible universe declaration not supported with monomorphic program definition (error)": [[9, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition"]], "obligation (command)": [[9, "coq:cmd.Obligation"]], "obligation tactic (command)": [[9, "coq:cmd.Obligation-Tactic"]], "obligations (command)": [[9, "coq:cmd.Obligations"]], "preterm (command)": [[9, "coq:cmd.Preterm"]], "program (attribute)": [[9, "coq:attr.Program"], [9, "coq:attr.program"]], "program cases (flag)": [[9, "coq:flag.Program-Cases"]], "program generalized coercion (flag)": [[9, "coq:flag.Program-Generalized-Coercion"]], "program mode (flag)": [[9, "coq:flag.Program-Mode"]], "show obligation tactic (command)": [[9, "coq:cmd.Show-Obligation-Tactic"]], "solve all obligations (command)": [[9, "coq:cmd.Solve-All-Obligations"]], "solve obligations (command)": [[9, "coq:cmd.Solve-Obligations"]], "transparent obligations (flag)": [[9, "coq:flag.Transparent-Obligations"]], "rewrite rule (command)": [[10, "coq:cmd.Rewrite-Rule"]], "rewrite rules (command)": [[10, "coq:cmd.Rewrite-Rules"]], "rewrite rule declaration requires passing the flag \"-allow-rewrite-rules\" (error)": [[10, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\""]], "symbol (command)": [[10, "coq:cmd.Symbol"]], "symbols (command)": [[10, "coq:cmd.Symbols"]], "add field (command)": [[11, "coq:cmd.Add-Field"]], "add ring (command)": [[11, "coq:cmd.Add-Ring"]], "arguments of ring_simplify do not have all the same type (error)": [[11, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type"]], "bad lemma for decidability of equality (error)": [[11, "coq:exn.Bad-lemma-for-decidability-of-equality"]], "bad ring structure (error)": [[11, "coq:exn.Bad-ring-structure"]], "cannot find a declared ring structure for equality \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019"]], "cannot find a declared ring structure over \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019"]], "not a valid ring equation (error)": [[11, "coq:exn.Not-a-valid-ring-equation"]], "print fields (command)": [[11, "coq:cmd.Print-Fields"]], "print rings (command)": [[11, "coq:cmd.Print-Rings"]], "ring operation should be declared as a morphism (error)": [[11, "coq:exn.Ring-operation-should-be-declared-as-a-morphism"]], "field (tactic)": [[11, "coq:tacn.field"]], "field_lookup (tactic)": [[11, "coq:tacn.field_lookup"]], "field_simplify (tactic)": [[11, "coq:tacn.field_simplify"]], "field_simplify_eq (tactic)": [[11, "coq:tacn.field_simplify_eq"]], "protect_fv (tactic)": [[11, "coq:tacn.protect_fv"]], "ring (tactic)": [[11, "coq:tacn.ring"]], "ring_lookup (tactic)": [[11, "coq:tacn.ring_lookup"]], "ring_simplify (tactic)": [[11, "coq:tacn.ring_simplify"]], "allow strictprop (flag)": [[12, "coq:flag.Allow-StrictProp"]], "bad relevance (warning)": [[12, "coq:warn.Bad-relevance"]], "definitional uip (flag)": [[12, "coq:flag.Definitional-UIP"]], "printing relevance marks (flag)": [[12, "coq:flag.Printing-Relevance-Marks"]], "sprop is disallowed because the \"allow strictprop\" flag is off (error)": [[12, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off"]], ":: (substructure)": [[13, "index-0"]], "class (command)": [[13, "coq:cmd.Class"]], "declare instance (command)": [[13, "coq:cmd.Declare-Instance"]], "existing class (command)": [[13, "coq:cmd.Existing-Class"]], "existing instance (command)": [[13, "coq:cmd.Existing-Instance"]], "existing instances (command)": [[13, "coq:cmd.Existing-Instances"]], "ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class (warning)": [[13, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class"]], "instance (command)": [[13, "coq:cmd.Instance"]], "print instances (command)": [[13, "coq:cmd.Print-Instances"]], "print typeclasses (command)": [[13, "coq:cmd.Print-Typeclasses"]], "typeclass resolution for conversion (flag)": [[13, "coq:flag.Typeclass-Resolution-For-Conversion"]], "typeclasses debug (flag)": [[13, "coq:flag.Typeclasses-Debug"]], "typeclasses debug verbosity (option)": [[13, "coq:opt.Typeclasses-Debug-Verbosity"]], "typeclasses default mode (option)": [[13, "coq:opt.Typeclasses-Default-Mode"]], "typeclasses dependency order (flag)": [[13, "coq:flag.Typeclasses-Dependency-Order"]], "typeclasses depth (option)": [[13, "coq:opt.Typeclasses-Depth"]], "typeclasses iterative deepening (flag)": [[13, "coq:flag.Typeclasses-Iterative-Deepening"]], "typeclasses limit intros (flag)": [[13, "coq:flag.Typeclasses-Limit-Intros"]], "typeclasses opaque (command)": [[13, "coq:cmd.Typeclasses-Opaque"]], "typeclasses strict resolution (flag)": [[13, "coq:flag.Typeclasses-Strict-Resolution"]], "typeclasses transparent (command)": [[13, "coq:cmd.Typeclasses-Transparent"]], "typeclasses unique instances (flag)": [[13, "coq:flag.Typeclasses-Unique-Instances"]], "typeclasses unique solutions (flag)": [[13, "coq:flag.Typeclasses-Unique-Solutions"]], "typeclasses eauto (command)": [[13, "coq:cmd.Typeclasses-eauto"]], "using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d (warning)": [[13, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d"]], "autoapply (tactic)": [[13, "coq:tacn.autoapply"]], "mode (attribute)": [[13, "coq:attr.mode"]], "refine (attribute)": [[13, "coq:attr.refine"]], "typeclasses eauto (tactic)": [[13, "coq:tacn.typeclasses-eauto"]], "\u2018ident\u2019 is already declared as a typeclass (warning)": [[13, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass"]], "constraint (command)": [[14, "coq:cmd.Constraint"]], "cumulative (attribute)": [[14, "coq:attr.Cumulative"]], "cumulativity weak constraints (flag)": [[14, "coq:flag.Cumulativity-Weak-Constraints"]], "monomorphic (attribute)": [[14, "coq:attr.Monomorphic"]], "noncumulative (attribute)": [[14, "coq:attr.NonCumulative"]], "polymorphic (attribute)": [[14, "coq:attr.Polymorphic"]], "polymorphic inductive cumulativity (flag)": [[14, "coq:flag.Polymorphic-Inductive-Cumulativity"]], "polymorphic universe constraints can only be declared inside sections, use monomorphic constraint instead (error)": [[14, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead"]], "polymorphic universes can only be declared inside sections, use monomorphic universe instead (error)": [[14, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead"]], "print universes (command)": [[14, "coq:cmd.Print-Universes"]], "printing universes (flag)": [[14, "coq:flag.Printing-Universes"]], "private polymorphic universes (flag)": [[14, "coq:flag.Private-Polymorphic-Universes"]], "strict universe declaration (flag)": [[14, "coq:flag.Strict-Universe-Declaration"]], "the cumulative attribute can only be used in a polymorphic context (error)": [[14, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context"]], "undeclared universe \u2018ident\u2019 (error)": [[14, "coq:exn.Undeclared-universe-\u2018ident\u2019"]], "universe (command)": [[14, "coq:cmd.Universe"]], "universe minimization toset (flag)": [[14, "coq:flag.Universe-Minimization-ToSet"]], "universe polymorphism (flag)": [[14, "coq:flag.Universe-Polymorphism"]], "universe inconsistency (error)": [[14, "coq:exn.Universe-inconsistency"]], "universes (command)": [[14, "coq:cmd.Universes"]], "universes(cumulative) (attribute)": [[14, "coq:attr.universes(cumulative)"]], "universes(polymorphic) (attribute)": [[14, "coq:attr.universes(polymorphic)"]], "* (term)": [[27, "index-9"]], "+ (term)": [[27, "index-9"]], "a*b (term)": [[27, "index-9"]], "a+b (term)": [[27, "index-9"]], "a+{b} (term)": [[27, "index-13"]], "acc (term)": [[27, "index-20"]], "acc_inv (term)": [[27, "index-20"]], "acc_rect (term)": [[27, "index-20"]], "choice (term)": [[27, "index-14"]], "choice2 (term)": [[27, "index-14"]], "connectives": [[27, "index-1"]], "datatypes": [[27, "index-7"]], "equality": [[27, "index-4"]], "exc (term)": [[27, "index-15"]], "false (term)": [[27, "index-1"], [27, "index-8"]], "false_rec (term)": [[27, "index-16"]], "false_rect (term)": [[27, "index-16"]], "fix_f (term)": [[27, "index-21"]], "fix_f_eq (term)": [[27, "index-21"]], "fix_f_inv (term)": [[27, "index-21"]], "fix_eq (term)": [[27, "index-21"]], "i (term)": [[27, "index-1"]], "issucc (term)": [[27, "index-17"]], "none (term)": [[27, "index-8"]], "o (term)": [[27, "index-8"]], "o_s (term)": [[27, "index-17"]], "programming": [[27, "index-8"]], "quantifiers": [[27, "index-3"]], "recursion": [[27, "index-20"]], "s (term)": [[27, "index-8"]], "some (term)": [[27, "index-8"]], "theories": [[27, "index-0"]], "true (term)": [[27, "index-1"], [27, "index-8"]], "well founded induction": [[27, "index-20"]], "well foundedness": [[27, "index-20"]], "absurd (term)": [[27, "index-5"]], "absurd_set (term)": [[27, "index-16"]], "all (term)": [[27, "index-3"]], "and (term)": [[27, "index-1"]], "and_rect (term)": [[27, "index-16"]], "bool (term)": [[27, "index-8"]], "bool_choice (term)": [[27, "index-14"]], "conj (term)": [[27, "index-1"]], "eq (term)": [[27, "index-4"]], "eq_s (term)": [[27, "index-17"]], "eq_add_s (term)": [[27, "index-17"]], "eq_ind_r (term)": [[27, "index-5"]], "eq_rec_r (term)": [[27, "index-5"]], "eq_rect (term)": [[27, "index-16"], [27, "index-5"]], "eq_rect_r (term)": [[27, "index-5"]], "eq_refl (term)": [[27, "index-4"]], "eq_sym (term)": [[27, "index-5"]], "eq_trans (term)": [[27, "index-5"]], "error (term)": [[27, "index-15"]], "ex (term)": [[27, "index-3"]], "ex2 (term)": [[27, "index-3"]], "ex_intro (term)": [[27, "index-3"]], "ex_intro2 (term)": [[27, "index-3"]], "exist (term)": [[27, "index-10"]], "exist2 (term)": [[27, "index-10"]], "existt (term)": [[27, "index-11"]], "existt2 (term)": [[27, "index-11"]], "exists (term)": [[27, "index-3"]], "exists2 (term)": [[27, "index-3"]], "f_equal (term)": [[27, "index-5"]], "f_equal2 ... f_equal5 (term)": [[27, "index-6"]], "fst (term)": [[27, "index-9"]], "ge (term)": [[27, "index-18"]], "gt (term)": [[27, "index-18"]], "identity (term)": [[27, "index-8"]], "iff (term)": [[27, "index-1"]], "inl (term)": [[27, "index-9"]], "inleft (term)": [[27, "index-13"]], "inr (term)": [[27, "index-9"]], "inright (term)": [[27, "index-13"]], "le (term)": [[27, "index-18"]], "le_s (term)": [[27, "index-18"]], "le_n (term)": [[27, "index-18"]], "left (term)": [[27, "index-12"]], "lt (term)": [[27, "index-18"]], "mult (term)": [[27, "index-17"]], "mult_n_o (term)": [[27, "index-17"]], "mult_n_sm (term)": [[27, "index-17"]], "n_sn (term)": [[27, "index-17"]], "nat (term)": [[27, "index-8"]], "nat_case (term)": [[27, "index-19"]], "nat_double_ind (term)": [[27, "index-19"]], "not (term)": [[27, "index-1"]], "nott (term)": [[27, "index-2"]], "not_eq_s (term)": [[27, "index-17"]], "option (term)": [[27, "index-8"]], "or (term)": [[27, "index-1"]], "or_introl (term)": [[27, "index-1"]], "or_intror (term)": [[27, "index-1"]], "pair (term)": [[27, "index-9"]], "plus (term)": [[27, "index-17"]], "plus_n_o (term)": [[27, "index-17"]], "plus_n_sm (term)": [[27, "index-17"]], "pred (term)": [[27, "index-17"]], "pred_sn (term)": [[27, "index-17"]], "prod (term)": [[27, "index-9"]], "proj1 (term)": [[27, "index-1"]], "proj2 (term)": [[27, "index-1"]], "projt1 (term)": [[27, "index-11"]], "projt2 (term)": [[27, "index-11"]], "refl_identity (term)": [[27, "index-8"]], "right (term)": [[27, "index-12"]], "sig (term)": [[27, "index-10"]], "sig2 (term)": [[27, "index-10"]], "sigt (term)": [[27, "index-11"]], "sigt2 (term)": [[27, "index-11"]], "snd (term)": [[27, "index-9"]], "sum (term)": [[27, "index-9"]], "sumbool (term)": [[27, "index-12"]], "sumor (term)": [[27, "index-13"]], "sym_not_eq (term)": [[27, "index-5"]], "tt (term)": [[27, "index-8"]], "unit (term)": [[27, "index-8"]], "value (term)": [[27, "index-15"]], "well_founded (term)": [[27, "index-20"]], "{a}+{b} (term)": [[27, "index-12"]], "{x:a & p x} (term)": [[27, "index-11"]], "{x:a | p x} (term)": [[27, "index-10"]], "axiom (command)": [[28, "coq:cmd.Axiom"]], "axioms (command)": [[28, "coq:cmd.Axioms"]], "conjecture (command)": [[28, "coq:cmd.Conjecture"]], "conjectures (command)": [[28, "coq:cmd.Conjectures"]], "hypotheses (command)": [[28, "coq:cmd.Hypotheses"]], "hypothesis (command)": [[28, "coq:cmd.Hypothesis"]], "parameter (command)": [[28, "coq:cmd.Parameter"]], "parameters (command)": [[28, "coq:cmd.Parameters"]], "use of \"variable\" or \"hypothesis\" outside sections behaves as \"#[local] parameter\" or \"#[local] axiom\" (warning)": [[28, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\""]], "variable (command)": [[28, "coq:cmd.Variable"]], "variables (command)": [[28, "coq:cmd.Variables"]], "forall": [[28, "index-1"]], "fun": [[28, "index-0"]], "\u2018ident\u2019 already exists. (axiom) (error)": [[28, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)"]], "add (command)": [[29, "coq:cmd.Add"]], "attributes (command)": [[29, "coq:cmd.Attributes"]], "comments (command)": [[29, "coq:cmd.Comments"]], "print options (command)": [[29, "coq:cmd.Print-Options"]], "print table (command)": [[29, "coq:cmd.Print-Table"]], "print tables (command)": [[29, "coq:cmd.Print-Tables"]], "remove (command)": [[29, "coq:cmd.Remove"]], "set (command)": [[29, "coq:cmd.Set"]], "test (command)": [[29, "coq:cmd.Test"]], "there is no flag or option with this name: \"\u2018setting_name\u2019\" (warning)": [[29, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no flag, option or table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no qualid-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no string-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "this command does not support this attribute (warning)": [[29, "coq:warn.This-command-does-not-support-this-attribute"]], "unset (command)": [[29, "coq:cmd.Unset"]], "command": [[29, "term-command"]], "sentence": [[29, "term-sentence"]], "tactic": [[29, "term-tactic"]], "term": [[29, "term-term"]], "type": [[29, "term-type"], [39, "index-0"]], "warning (attribute)": [[29, "coq:attr.warning"]], "warnings (attribute)": [[29, "coq:attr.warnings"]], "cofixpoint (command)": [[30, "coq:cmd.CoFixpoint"]], "coinductive (command)": [[30, "coq:cmd.CoInductive"]], "cofix": [[30, "index-0"]], "... : ... (type cast)": [[32, "index-1"]], "... :> ... (volatile type cast)": [[32, "index-1"]], "... <: ... (vm type cast)": [[32, "index-1"]], "... <<: ... (native compute type cast)": [[32, "index-1"]], "corollary (command)": [[32, "coq:cmd.Corollary"]], "definition (command)": [[32, "coq:cmd.Definition"]], "example (command)": [[32, "coq:cmd.Example"]], "fact (command)": [[32, "coq:cmd.Fact"]], "lemma (command)": [[32, "coq:cmd.Lemma"]], "nested proofs are discouraged and not allowed by default. this error probably means that you forgot to close the last \"proof.\" with \"qed.\" or \"defined.\". if you really intended to use nested proofs, you can do so by turning the \"nested proofs allowed\" flag on (error)": [[32, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on"]], "property (command)": [[32, "coq:cmd.Property"]], "proposition (command)": [[32, "coq:cmd.Proposition"]], "remark (command)": [[32, "coq:cmd.Remark"]], "the term \u2018term\u2019 has type \u2018type\u2019 which should be set, prop or type (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type"]], "the term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019' (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'"]], "theorem (command)": [[32, "coq:cmd.Theorem"]], "let ... := ... (term)": [[32, "index-0"]], "\u2018ident\u2019 already exists. (definition) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)"]], "\u2018ident\u2019 already exists. (theorem) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)"]], "auto template polymorphism (flag)": [[34, "coq:flag.Auto-Template-Polymorphism"]], "automatically declaring \u2018ident\u2019 as template polymorphic (warning)": [[34, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic"]], "dependent proposition eliminators (flag)": [[34, "coq:flag.Dependent-Proposition-Eliminators"]], "fixpoint (command)": [[34, "coq:cmd.Fixpoint"]], "ill-formed template inductive declaration: not polymorphic on any universe (error)": [[34, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe"]], "inductive (command)": [[34, "coq:cmd.Inductive"]], "non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019 (error)": [[34, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019"]], "the conclusion of \u2018type\u2019 is not valid": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "uniform inductive parameters (flag)": [[34, "coq:flag.Uniform-Inductive-Parameters"]], "fix": [[34, "index-0"]], "it must be built from \u2018ident\u2019 (error)": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "template and polymorphism not compatible (error)": [[34, "coq:exn.template-and-polymorphism-not-compatible"]], "universes(template) (attribute)": [[34, "coq:attr.universes(template)"]], "cannot import local constant, it will be ignored (warning)": [[35, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored"]], "declare module (command)": [[35, "coq:cmd.Declare-Module"]], "export (command)": [[35, "coq:cmd.Export"]], "import (command)": [[35, "coq:cmd.Import"]], "include (command)": [[35, "coq:cmd.Include"]], "include type (command)": [[35, "coq:cmd.Include-Type"]], "module (command)": [[35, "coq:cmd.Module"]], "module type (command)": [[35, "coq:cmd.Module-Type"]], "no field named \u2018ident\u2019 in \u2018qualid\u2019 (error)": [[35, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019"]], "print module (command)": [[35, "coq:cmd.Print-Module"]], "print module type (command)": [[35, "coq:cmd.Print-Module-Type"]], "print namespace (command)": [[35, "coq:cmd.Print-Namespace"]], "short module printing (flag)": [[35, "coq:flag.Short-Module-Printing"]], "signature components for field \u2018ident\u2019 do not match (error)": [[35, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match"]], "the field \u2018ident\u2019 is missing in \u2018qualid\u2019 (error)": [[35, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019"]], "trying to mask the absolute name \u2018qualid\u2019! (warning)": [[35, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!"]], "export (attribute)": [[35, "coq:attr.export"]], "global (attribute)": [[35, "coq:attr.global"]], "local (attribute)": [[35, "coq:attr.local"]], "\u2018qualid\u2019 is not a module (error)": [[35, "coq:exn.\u2018qualid\u2019-is-not-a-module"]], "primitive projections (flag)": [[37, "coq:flag.Primitive-Projections"]], "printing constructor (table)": [[37, "coq:table.Printing-Constructor"]], "printing primitive projection parameters (flag)": [[37, "coq:flag.Printing-Primitive-Projection-Parameters"]], "printing projections (flag)": [[37, "coq:flag.Printing-Projections"]], "printing record (table)": [[37, "coq:table.Printing-Record"]], "printing records (flag)": [[37, "coq:flag.Printing-Records"]], "printing unfolded projection as match (flag)": [[37, "coq:flag.Printing-Unfolded-Projection-As-Match"]], "record (command)": [[37, "coq:cmd.Record"]], "records declared with the keyword record or structure cannot be recursive (error)": [[37, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive"]], "structure (command)": [[37, "coq:cmd.Structure"]], "projections(primitive) (attribute)": [[37, "coq:attr.projections(primitive)"]], "\u2018ident\u2019 already exists (error)": [[37, "coq:exn.\u2018ident\u2019-already-exists"]], "\u2018ident\u2019 cannot be defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined"]], "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not"]], "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined"]], "context (command)": [[38, "coq:cmd.Context"]], "end (command)": [[38, "coq:cmd.End"]], "last block to end has name \u2018ident\u2019 (error)": [[38, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019"]], "let (command)": [[38, "coq:cmd.Let"]], "let cofixpoint (command)": [[38, "coq:cmd.Let-CoFixpoint"]], "let fixpoint (command)": [[38, "coq:cmd.Let-Fixpoint"]], "section (command)": [[38, "coq:cmd.Section"]], "there is nothing to end (error)": [[38, "coq:exn.There-is-nothing-to-end"]], "clearbody (attribute)": [[38, "coq:attr.clearbody"]], "prop": [[39, "index-0"]], "sprop": [[39, "index-0"]], "set (sort)": [[39, "index-0"]], "casts are not supported in this pattern (error)": [[40, "coq:exn.Casts-are-not-supported-in-this-pattern"]], "private (attribute)": [[40, "coq:attr.Private"]], "the \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019 (error)": [[40, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019"]], "variant (command)": [[40, "coq:cmd.Variant"]], "match ... with ...": [[40, "index-0"]], "private(matching) (attribute)": [[40, "coq:attr.private(matching)"]], "arguments (command)": [[41, "coq:cmd.Arguments"]], "arguments of section variables such as \u2018name\u2019 may not be renamed (error)": [[41, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed"]], "flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019 (error)": [[41, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019"]], "the & modifier may only occur once (error)": [[41, "coq:exn.The-&-modifier-may-only-occur-once"]], "the 'clear implicits' flag must be omitted if implicit annotations are given (error)": [[41, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given"]], "the 'default implicits' flag is incompatible with implicit annotations (error)": [[41, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations"]], "the / modifier may only occur once (error)": [[41, "coq:exn.The-/-modifier-may-only-occur-once"]], "this command is just asserting the names of arguments of \u2018qualid\u2019. if this is what you want, add ': assert' to silence the warning. if you want to clear implicit arguments, add ': clear implicits'. if you want to clear notation scopes, add ': clear scopes' (warning)": [[41, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'"]], "to rename arguments the 'rename' flag must be specified (error)": [[41, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified"]], "canonical structure (command)": [[42, "coq:cmd.Canonical-Structure"]], "print canonical projections (command)": [[42, "coq:cmd.Print-Canonical-Projections"]], "canonical (attribute)": [[42, "coq:attr.canonical"]], "printing existential instances (flag)": [[43, "coq:flag.Printing-Existential-Instances"]], "_": [[43, "index-0"]], "argument at position \u2018natural\u2019 is mentioned more than once (error)": [[44, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once"]], "argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal. please use { } instead of [ ] (error)": [[44, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]"]], "arguments given by name or position not supported in explicit mode (error)": [[44, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode"]], "cannot infer a term for this placeholder. (casual use of implicit arguments) (error)": [[44, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)"]], "contextual implicit (flag)": [[44, "coq:flag.Contextual-Implicit"]], "generalizable (command)": [[44, "coq:cmd.Generalizable"]], "ignoring implicit binder declaration in unexpected position (warning)": [[44, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position"]], "implicit arguments (flag)": [[44, "coq:flag.Implicit-Arguments"]], "implicit type (command)": [[44, "coq:cmd.Implicit-Type"]], "implicit types (command)": [[44, "coq:cmd.Implicit-Types"]], "making shadowed name of implicit argument accessible by position (warning)": [[44, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position"]], "maximal implicit insertion (flag)": [[44, "coq:flag.Maximal-Implicit-Insertion"]], "not enough non implicit arguments to accept the argument bound to \u2018ident\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019"]], "not enough non implicit arguments to accept the argument bound to \u2018natural\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019"]], "parsing explicit (flag)": [[44, "coq:flag.Parsing-Explicit"]], "print implicit (command)": [[44, "coq:cmd.Print-Implicit"]], "printing implicit (flag)": [[44, "coq:flag.Printing-Implicit"]], "printing implicit defensive (flag)": [[44, "coq:flag.Printing-Implicit-Defensive"]], "printing use implicit types (flag)": [[44, "coq:flag.Printing-Use-Implicit-Types"]], "reversible pattern implicit (flag)": [[44, "coq:flag.Reversible-Pattern-Implicit"]], "strict implicit (flag)": [[44, "coq:flag.Strict-Implicit"]], "strongly strict implicit (flag)": [[44, "coq:flag.Strongly-Strict-Implicit"]], "wrong argument name (error)": [[44, "coq:exn.Wrong-argument-name"]], "wrong argument position (error)": [[44, "coq:exn.Wrong-argument-position"]], "`( )": [[44, "index-2"]], "`(! )": [[44, "index-5"]], "`[ ]": [[44, "index-1"]], "`[! ]": [[44, "index-4"]], "`{ }": [[44, "index-0"]], "`{! }": [[44, "index-3"]], "asymmetric patterns (flag)": [[46, "coq:flag.Asymmetric-Patterns"]], "either there is a type incompatibility or the problem involves dependencies (error)": [[46, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies"]], "found a constructor of inductive type term while a constructor of term is expected (error)": [[46, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected"]], "non exhaustive pattern matching (error)": [[46, "coq:exn.Non-exhaustive-pattern-matching"]], "printing allow match default clause (flag)": [[46, "coq:flag.Printing-Allow-Match-Default-Clause"]], "printing factorizable match patterns (flag)": [[46, "coq:flag.Printing-Factorizable-Match-Patterns"]], "printing if (table)": [[46, "coq:table.Printing-If"]], "printing let (table)": [[46, "coq:table.Printing-Let"]], "printing match all subterms (flag)": [[46, "coq:flag.Printing-Match-All-Subterms"]], "printing matching (flag)": [[46, "coq:flag.Printing-Matching"]], "printing synth (flag)": [[46, "coq:flag.Printing-Synth"]], "printing wildcard (flag)": [[46, "coq:flag.Printing-Wildcard"]], "the constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments (error)": [[46, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments"]], "the elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case) (error)": [[46, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)"]], "the variable ident is bound several times in pattern term (error)": [[46, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term"]], "unable to infer a match predicate (error)": [[46, "coq:exn.Unable-to-infer-a-match-predicate"]], "unused variable \u2018ident\u2019 might be a misspelled constructor. use _ or _\u2018ident\u2019 to silence this warning (warning)": [[46, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning."]], "coqtop exit on error (flag)": [[51, "coq:flag.Coqtop-Exit-On-Error"]], "+ (backtracking branching) (tactic)": [[54, "coq:tacn.+-(backtracking-branching)"]], "::=": [[54, "index-0"]], "argument of match does not evaluate to a term (error)": [[54, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term"]], "condition not satisfied (error)": [[54, "coq:exn.Condition-not-satisfied"]], "debug (command)": [[54, "coq:cmd.Debug"]], "debug mode not available in the ide (error)": [[54, "coq:exn.Debug-mode-not-available-in-the-IDE"]], "expression does not evaluate to a tactic (error)": [[54, "coq:exn.Expression-does-not-evaluate-to-a-tactic"]], "failed to progress (error)": [[54, "coq:exn.Failed-to-progress"]], "info (command)": [[54, "coq:cmd.Info"]], "info level (option)": [[54, "coq:opt.Info-Level"]], "ltac (command)": [[54, "coq:cmd.Ltac"]], "ltac backtrace (flag)": [[54, "coq:flag.Ltac-Backtrace"]], "ltac batch debug (flag)": [[54, "coq:flag.Ltac-Batch-Debug"]], "ltac debug (flag)": [[54, "coq:flag.Ltac-Debug"]], "ltac profiler encountered an invalid stack (no self node). this can happen if you reset the profile during tactic execution (warning)": [[54, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution"]], "ltac profiling (flag)": [[54, "coq:flag.Ltac-Profiling"]], "no applicable tactic (error)": [[54, "coq:exn.No-applicable-tactic"]], "no evars (error)": [[54, "coq:exn.No-evars"]], "no matching clauses for match (error)": [[54, "coq:exn.No-matching-clauses-for-match"]], "no matching clauses for match goal (error)": [[54, "coq:exn.No-matching-clauses-for-match-goal"]], "no such goal. (goal selector) (error)": [[54, "coq:exn.No-such-goal.-(Goal-selector)"]], "no such goal. (fail) (error)": [[54, "coq:exn.No-such-goal.-(fail)"]], "not a context variable (error)": [[54, "coq:exn.Not-a-context-variable"]], "not a variable or hypothesis (error)": [[54, "coq:exn.Not-a-variable-or-hypothesis"]], "not an evar (error)": [[54, "coq:exn.Not-an-evar"]], "not equal (due to universes) (error)": [[54, "coq:exn.Not-equal-(due-to-universes)"]], "not equal (error)": [[54, "coq:exn.Not-equal"]], "not ground (error)": [[54, "coq:exn.Not-ground"]], "print ltac (command)": [[54, "coq:cmd.Print-Ltac"]], "print ltac signatures (command)": [[54, "coq:cmd.Print-Ltac-Signatures"]], "reset ltac profile (command)": [[54, "coq:cmd.Reset-Ltac-Profile"]], "show ltac profile (command)": [[54, "coq:cmd.Show-Ltac-Profile"]], "tactic failure (error)": [[54, "coq:exn.Tactic-failure"]], "tactic failure (level \u2018natural\u2019) (error)": [[54, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)"]], "tactic failure: <tactic closure> succeeds (error)": [[54, "coq:exn.Tactic-failure:-<tactic-closure>-succeeds"]], "there is already an ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019"]], "there is no ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019"]], "this tactic has more than one success (error)": [[54, "coq:exn.This-tactic-has-more-than-one-success"]], "unbound context identifier \u2018ident\u2019 (error)": [[54, "coq:exn.Unbound-context-identifier-\u2018ident\u2019"]], "[ \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "[> \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "assert_fails (tactic)": [[54, "coq:tacn.assert_fails"]], "assert_succeeds (tactic)": [[54, "coq:tacn.assert_succeeds"]], "constr_eq (tactic)": [[54, "coq:tacn.constr_eq"]], "constr_eq_nounivs (tactic)": [[54, "coq:tacn.constr_eq_nounivs"]], "constr_eq_strict (tactic)": [[54, "coq:tacn.constr_eq_strict"]], "context (tactic)": [[54, "coq:tacn.context"]], "convert (tactic)": [[54, "coq:tacn.convert"]], "do (tactic)": [[54, "coq:tacn.do"]], "exactly_once (tactic)": [[54, "coq:tacn.exactly_once"]], "fail (tactic)": [[54, "coq:tacn.fail"]], "finish_timing (tactic)": [[54, "coq:tacn.finish_timing"]], "first (tactic)": [[54, "coq:tacn.first"]], "fresh (tactic)": [[54, "coq:tacn.fresh"]], "fun (tactic)": [[54, "coq:tacn.fun"]], "gfail (tactic)": [[54, "coq:tacn.gfail"]], "guard (tactic)": [[54, "coq:tacn.guard"]], "has_evar (tactic)": [[54, "coq:tacn.has_evar"]], "idtac (tactic)": [[54, "coq:tacn.idtac"]], "infoh (command)": [[54, "coq:cmd.infoH"]], "is_cofix (tactic)": [[54, "coq:tacn.is_cofix"]], "is_const (tactic)": [[54, "coq:tacn.is_const"]], "is_constructor (tactic)": [[54, "coq:tacn.is_constructor"]], "is_evar (tactic)": [[54, "coq:tacn.is_evar"]], "is_fix (tactic)": [[54, "coq:tacn.is_fix"]], "is_ground (tactic)": [[54, "coq:tacn.is_ground"]], "is_ind (tactic)": [[54, "coq:tacn.is_ind"]], "is_proj (tactic)": [[54, "coq:tacn.is_proj"]], "is_var (tactic)": [[54, "coq:tacn.is_var"]], "lazymatch (tactic)": [[54, "coq:tacn.lazymatch"]], "lazymatch goal (tactic)": [[54, "coq:tacn.lazymatch-goal"]], "let (tactic)": [[54, "coq:tacn.let"]], "ltac-seq (tactic)": [[54, "coq:tacn.ltac-seq"]], "match (tactic)": [[54, "coq:tacn.match"]], "match goal (tactic)": [[54, "coq:tacn.match-goal"]], "multimatch (tactic)": [[54, "coq:tacn.multimatch"]], "multimatch goal (tactic)": [[54, "coq:tacn.multimatch-goal"]], "not a cofix definition (error)": [[54, "coq:exn.not-a-cofix-definition"]], "not a constant (error)": [[54, "coq:exn.not-a-constant"]], "not a constructor (error)": [[54, "coq:exn.not-a-constructor"]], "not a fix definition (error)": [[54, "coq:exn.not-a-fix-definition"]], "not a primitive projection (error)": [[54, "coq:exn.not-a-primitive-projection"]], "not an (co)inductive datatype (error)": [[54, "coq:exn.not-an-(co)inductive-datatype"]], "not_evar (tactic)": [[54, "coq:tacn.not_evar"]], "numgoals (tactic)": [[54, "coq:tacn.numgoals"]], "once (tactic)": [[54, "coq:tacn.once"]], "only (tactic)": [[54, "coq:tacn.only"]], "optimize_heap (tactic)": [[54, "coq:tacn.optimize_heap"]], "progress (tactic)": [[54, "coq:tacn.progress"]], "repeat (tactic)": [[54, "coq:tacn.repeat"]], "reset ltac profile (tactic)": [[54, "coq:tacn.reset-ltac-profile"]], "restart_timer (tactic)": [[54, "coq:tacn.restart_timer"]], "show ltac profile (tactic)": [[54, "coq:tacn.show-ltac-profile"]], "solve (tactic)": [[54, "coq:tacn.solve"]], "start ltac profiling (tactic)": [[54, "coq:tacn.start-ltac-profiling"]], "stop ltac profiling (tactic)": [[54, "coq:tacn.stop-ltac-profiling"]], "time (tactic)": [[54, "coq:tacn.time"]], "time_constr (tactic)": [[54, "coq:tacn.time_constr"]], "timeout (tactic)": [[54, "coq:tacn.timeout"]], "try (tactic)": [[54, "coq:tacn.try"]], "tryif (tactic)": [[54, "coq:tacn.tryif"]], "type of (tactic)": [[54, "coq:tacn.type-of"]], "type_term (tactic)": [[54, "coq:tacn.type_term"]], "unify (tactic)": [[54, "coq:tacn.unify"]], "|| (first tactic making progress) (tactic)": [[54, "coq:tacn.||-(first-tactic-making-progress)"]], "\u2026 : \u2026 (goal selector) (tactic)": [[54, "coq:tacn.\u2026-:-\u2026-(goal-selector)"]], "ltac2 (command)": [[55, "coq:cmd.Ltac2"]], "ltac2 backtrace (flag)": [[55, "coq:flag.Ltac2-Backtrace"]], "ltac2 check (command)": [[55, "coq:cmd.Ltac2-Check"]], "ltac2 eval (command)": [[55, "coq:cmd.Ltac2-Eval"]], "ltac2 globalize (command)": [[55, "coq:cmd.Ltac2-Globalize"]], "ltac2 in ltac1 profiling (flag)": [[55, "coq:flag.Ltac2-In-Ltac1-Profiling"]], "ltac2 notation (abbreviation) (command)": [[55, "coq:cmd.Ltac2-Notation-(abbreviation)"]], "ltac2 notation (command)": [[55, "coq:cmd.Ltac2-Notation"]], "ltac2 set (command)": [[55, "coq:cmd.Ltac2-Set"]], "ltac2 type (command)": [[55, "coq:cmd.Ltac2-Type"]], "ltac2 typed notations (flag)": [[55, "coq:flag.Ltac2-Typed-Notations"]], "ltac2 external (command)": [[55, "coq:cmd.Ltac2-external"]], "notation levels must range between 0 and 6 (error)": [[55, "coq:exn.Notation-levels-must-range-between-0-and-6"]], "print ltac2 (command)": [[55, "coq:cmd.Print-Ltac2"]], "print ltac2 signatures (command)": [[55, "coq:cmd.Print-Ltac2-Signatures"]], "print ltac2 type (command)": [[55, "coq:cmd.Print-Ltac2-Type"]], "the reference x was not found in the current environment (error)": [[55, "coq:exn.The-reference-X-was-not-found-in-the-current-environment"]], "unbound [value|constructor] x (error)": [[55, "coq:exn.Unbound-[value|constructor]-X"]], "abstract (attribute)": [[55, "coq:attr.abstract"]], "if-then-else (ltac2) (tactic)": [[55, "coq:tacn.if-then-else-(Ltac2)"]], "lazy_match! (tactic)": [[55, "coq:tacn.lazy_match!"]], "lazy_match! goal (tactic)": [[55, "coq:tacn.lazy_match!-goal"]], "match (ltac2) (tactic)": [[55, "coq:tacn.match-(Ltac2)"]], "match! (tactic)": [[55, "coq:tacn.match!"]], "match! goal (tactic)": [[55, "coq:tacn.match!-goal"]], "multi_match! (tactic)": [[55, "coq:tacn.multi_match!"]], "multi_match! goal (tactic)": [[55, "coq:tacn.multi_match!-goal"]], "=> (tactic)": [[57, "coq:tacn.=>"]], "debug ssrmatching (flag)": [[57, "coq:flag.Debug-SsrMatching"]], "debug ssreflect (flag)": [[57, "coq:flag.Debug-Ssreflect"]], "duplicate clear of h. use { }h instead of { h }h (warning)": [[57, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H"]], "hint view for (command)": [[57, "coq:cmd.Hint-View-for"]], "hint view for apply (command)": [[57, "coq:cmd.Hint-View-for-apply"]], "hint view for move (command)": [[57, "coq:cmd.Hint-View-for-move"]], "incorrect number of tactics (expected n tactics, was given m) (error)": [[57, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)"]], "prenex implicits (command)": [[57, "coq:cmd.Prenex-Implicits"]], "ssreflect: cannot obtain new equations out of ... (warning)": [[57, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-..."]], "ssrhave notcresolution (flag)": [[57, "coq:flag.SsrHave-NoTCResolution"]], "ssridents (flag)": [[57, "coq:flag.SsrIdents"]], "ssroldrewritegoalsorder (flag)": [[57, "coq:flag.SsrOldRewriteGoalsOrder"]], "ssrrewrite (flag)": [[57, "coq:flag.SsrRewrite"]], "abstract (ssreflect) (tactic)": [[57, "coq:tacn.abstract-(ssreflect)"]], "apply (ssreflect) (tactic)": [[57, "coq:tacn.apply-(ssreflect)"]], "by (tactic)": [[57, "coq:tacn.by"]], "case (ssreflect) (tactic)": [[57, "coq:tacn.case-(ssreflect)"]], "congr (tactic)": [[57, "coq:tacn.congr"]], "do (ssreflect) (tactic)": [[57, "coq:tacn.do-(ssreflect)"]], "done (tactic)": [[57, "coq:tacn.done"]], "elim (ssreflect) (tactic)": [[57, "coq:tacn.elim-(ssreflect)"]], "exact (ssreflect) (tactic)": [[57, "coq:tacn.exact-(ssreflect)"]], "first (ssreflect) (tactic)": [[57, "coq:tacn.first-(ssreflect)"]], "first last (tactic variant)": [[57, "coq:tacv.first-last"]], "generally have (tactic)": [[57, "coq:tacn.generally-have"]], "have (tactic)": [[57, "coq:tacn.have"]], "in (tactic)": [[57, "coq:tacn.in"]], "last (tactic)": [[57, "coq:tacn.last"]], "last first (tactic variant)": [[57, "coq:tacv.last-first"]], "move (ssreflect) (tactic)": [[57, "coq:tacn.move-(ssreflect)"]], "over (tactic)": [[57, "coq:tacn.over"]], "pose (ssreflect) (tactic)": [[57, "coq:tacn.pose-(ssreflect)"]], "rewrite (ssreflect) (tactic)": [[57, "coq:tacn.rewrite-(ssreflect)"]], "set (ssreflect) (tactic)": [[57, "coq:tacn.set-(ssreflect)"]], "suff (tactic)": [[57, "coq:tacn.suff"]], "suffices (tactic)": [[57, "coq:tacn.suffices"]], "under (tactic)": [[57, "coq:tacn.under"]], "unlock (tactic)": [[57, "coq:tacn.unlock"]], "without loss (tactic)": [[57, "coq:tacn.without-loss"]], "wlog (tactic)": [[57, "coq:tacn.wlog"]], "\u2026 : \u2026 (ssreflect) (tactic)": [[57, "coq:tacn.\u2026-:-\u2026-(ssreflect)"]], "cannot change \u2018ident\u2019, it is used in conclusion (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion"]], "cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019"]], "cannot infer a term for this placeholder. (refine) (error)": [[58, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019"]], "default goal selector (option)": [[58, "coq:opt.Default-Goal-Selector"]], "no product even after head-reduction (error)": [[58, "coq:exn.No-product-even-after-head-reduction"]], "no quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction (error)": [[58, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction"]], "no such assumption (error)": [[58, "coq:exn.No-such-assumption"]], "no such binder (error)": [[58, "coq:exn.No-such-binder"]], "no such bound variable \u2018ident\u2019 (no bound variables at all in the expression) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)"]], "no such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ...) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)"]], "no such hypothesis: \u2018ident\u2019 (error)": [[58, "coq:exn.No-such-hypothesis:-\u2018ident\u2019"]], "no \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction (error)": [[58, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction"]], "not an exact proof (error)": [[58, "coq:exn.Not-an-exact-proof"]], "not the right number of missing arguments (expected \u2018natural\u2019) (error)": [[58, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)"]], "proof is not complete. (assert) (error)": [[58, "coq:exn.Proof-is-not-complete.-(assert)"]], "the term \"\u2018type\u2019\" has type \"\u2018type\u2019\" which should be set, prop or type (error)": [[58, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type"]], "the variable \u2018ident\u2019 is already declared (error)": [[58, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared"]], "unable to apply lemma of type \"...\" on hypothesis of type \"...\" (error)": [[58, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\""]], "unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019 (error)": [[58, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019"]], "unable to unify \u2018one_term\u2019 with \u2018one_term\u2019 (error)": [[58, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019"]], "absurd (tactic)": [[58, "coq:tacn.absurd"]], "apply (tactic)": [[58, "coq:tacn.apply"]], "assert (tactic)": [[58, "coq:tacn.assert"]], "assumption (tactic)": [[58, "coq:tacn.assumption"]], "classical_left (tactic)": [[58, "coq:tacn.classical_left"]], "classical_right (tactic)": [[58, "coq:tacn.classical_right"]], "clear (tactic)": [[58, "coq:tacn.clear"]], "clear dependent (tactic)": [[58, "coq:tacn.clear-dependent"]], "clearbody (tactic)": [[58, "coq:tacn.clearbody"]], "contradict (tactic)": [[58, "coq:tacn.contradict"]], "contradiction (tactic)": [[58, "coq:tacn.contradiction"]], "cut (tactic)": [[58, "coq:tacn.cut"]], "dependent generalize_eqs (tactic)": [[58, "coq:tacn.dependent-generalize_eqs"]], "dependent generalize_eqs_vars (tactic)": [[58, "coq:tacn.dependent-generalize_eqs_vars"]], "eapply (tactic)": [[58, "coq:tacn.eapply"]], "eassert (tactic)": [[58, "coq:tacn.eassert"]], "eassumption (tactic)": [[58, "coq:tacn.eassumption"]], "eenough (tactic)": [[58, "coq:tacn.eenough"]], "eexact (tactic)": [[58, "coq:tacn.eexact"]], "eintros (tactic)": [[58, "coq:tacn.eintros"]], "enough (tactic)": [[58, "coq:tacn.enough"]], "epose (tactic)": [[58, "coq:tacn.epose"]], "epose proof (tactic)": [[58, "coq:tacn.epose-proof"]], "eremember (tactic)": [[58, "coq:tacn.eremember"]], "eset (tactic)": [[58, "coq:tacn.eset"]], "evar (tactic)": [[58, "coq:tacn.evar"]], "exact (tactic)": [[58, "coq:tacn.exact"]], "exact_no_check (tactic)": [[58, "coq:tacn.exact_no_check"]], "exfalso (tactic)": [[58, "coq:tacn.exfalso"]], "generalize (tactic)": [[58, "coq:tacn.generalize"]], "generalize dependent (tactic)": [[58, "coq:tacn.generalize-dependent"]], "generalize_eqs (tactic)": [[58, "coq:tacn.generalize_eqs"]], "generalize_eqs_vars (tactic)": [[58, "coq:tacn.generalize_eqs_vars"]], "instantiate (tactic)": [[58, "coq:tacn.instantiate"]], "intro (tactic)": [[58, "coq:tacn.intro"]], "intros (tactic)": [[58, "coq:tacn.intros"]], "intros until (tactic)": [[58, "coq:tacn.intros-until"]], "lapply (tactic)": [[58, "coq:tacn.lapply"]], "lapply needs a non-dependent product (error)": [[58, "coq:exn.lapply-needs-a-non-dependent-product"]], "move (tactic)": [[58, "coq:tacn.move"]], "native_cast_no_check (tactic)": [[58, "coq:tacn.native_cast_no_check"]], "pose (tactic)": [[58, "coq:tacn.pose"]], "pose proof (tactic)": [[58, "coq:tacn.pose-proof"]], "rapply (tactic)": [[58, "coq:tacn.rapply"]], "refine (tactic)": [[58, "coq:tacn.refine"]], "remember (tactic)": [[58, "coq:tacn.remember"]], "rename (tactic)": [[58, "coq:tacn.rename"]], "revert (tactic)": [[58, "coq:tacn.revert"]], "revert dependent (tactic)": [[58, "coq:tacn.revert-dependent"]], "set (tactic)": [[58, "coq:tacn.set"]], "simple apply (tactic)": [[58, "coq:tacn.simple-apply"]], "simple eapply (tactic)": [[58, "coq:tacn.simple-eapply"]], "specialize (tactic)": [[58, "coq:tacn.specialize"]], "specialize_eqs (tactic)": [[58, "coq:tacn.specialize_eqs"]], "vm_cast_no_check (tactic)": [[58, "coq:tacn.vm_cast_no_check"]], "\u2018ident\u2019 is already used (error)": [[58, "coq:exn.\u2018ident\u2019-is-already-used"]], "\u2018ident\u2019 is not a local definition (error)": [[58, "coq:exn.\u2018ident\u2019-is-not-a-local-definition"]], "\u2018ident\u2019 is used in the conclusion (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion"]], "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019"]], "about (command)": [[59, "coq:cmd.About"]], "back (command)": [[59, "coq:cmd.Back"]], "backto (command)": [[59, "coq:cmd.BackTo"]], "bad magic number (error)": [[59, "coq:exn.Bad-magic-number"]], "cannot find library foo in loadpath (error)": [[59, "coq:exn.Cannot-find-library-foo-in-loadpath"]], "cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019 (error)": [[59, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019"]], "can\u2019t find file \u2018ident\u2019 on loadpath (error)": [[59, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath"]], "check (command)": [[59, "coq:cmd.Check"]], "compiled library \u2018ident\u2019.vo makes inconsistent assumptions over library \u2018qualid\u2019 (error)": [[59, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019"]], "debug (option)": [[59, "coq:opt.Debug"]], "declare ml module (command)": [[59, "coq:cmd.Declare-ML-Module"]], "default timeout (option)": [[59, "coq:opt.Default-Timeout"]], "drop (command)": [[59, "coq:cmd.Drop"]], "dynlink error: execution of module initializers in the (error)": [[59, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the"]], "fail (command)": [[59, "coq:cmd.Fail"]], "fast name printing (flag)": [[59, "coq:flag.Fast-Name-Printing"]], "file ... found twice in ... (warning)": [[59, "coq:warn.File-...-found-twice-in-..."]], "file not found on loadpath: \u2018string\u2019 (error)": [[59, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019"]], "files processed by load cannot leave open proofs (error)": [[59, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs"]], "from \u2026 dependency (command)": [[59, "coq:cmd.From-\u2026-Dependency"]], "from \u2026 require (command)": [[59, "coq:cmd.From-\u2026-Require"]], "guard checking (flag)": [[59, "coq:flag.Guard-Checking"]], "inspect (command)": [[59, "coq:cmd.Inspect"]], "instructions (command)": [[59, "coq:cmd.Instructions"]], "invalid backtrack (error)": [[59, "coq:exn.Invalid-backtrack"]], "load (command)": [[59, "coq:cmd.Load"]], "load is not supported inside proofs (error)": [[59, "coq:exn.Load-is-not-supported-inside-proofs"]], "locate (command)": [[59, "coq:cmd.Locate"]], "locate file (command)": [[59, "coq:cmd.Locate-File"]], "locate library (command)": [[59, "coq:cmd.Locate-Library"]], "locate ltac (command)": [[59, "coq:cmd.Locate-Ltac"]], "locate ltac2 (command)": [[59, "coq:cmd.Locate-Ltac2"]], "locate module (command)": [[59, "coq:cmd.Locate-Module"]], "locate term (command)": [[59, "coq:cmd.Locate-Term"]], "module/section \u2018qualid\u2019 not found (error)": [[59, "coq:exn.Module/section-\u2018qualid\u2019-not-found"]], "positivity checking (flag)": [[59, "coq:flag.Positivity-Checking"]], "primitive (command)": [[59, "coq:cmd.Primitive"]], "print (command)": [[59, "coq:cmd.Print"]], "print all (command)": [[59, "coq:cmd.Print-All"]], "print all dependencies (command)": [[59, "coq:cmd.Print-All-Dependencies"]], "print assumptions (command)": [[59, "coq:cmd.Print-Assumptions"]], "print libraries (command)": [[59, "coq:cmd.Print-Libraries"]], "print loadpath (command)": [[59, "coq:cmd.Print-LoadPath"]], "print ml modules (command)": [[59, "coq:cmd.Print-ML-Modules"]], "print ml path (command)": [[59, "coq:cmd.Print-ML-Path"]], "print opaque dependencies (command)": [[59, "coq:cmd.Print-Opaque-Dependencies"]], "print registered (command)": [[59, "coq:cmd.Print-Registered"]], "print registered schemes (command)": [[59, "coq:cmd.Print-Registered-Schemes"]], "print section (command)": [[59, "coq:cmd.Print-Section"]], "print transparent dependencies (command)": [[59, "coq:cmd.Print-Transparent-Dependencies"]], "print typing flags (command)": [[59, "coq:cmd.Print-Typing-Flags"]], "printing all (flag)": [[59, "coq:flag.Printing-All"]], "printing compact contexts (flag)": [[59, "coq:flag.Printing-Compact-Contexts"]], "printing dependent evars line (flag)": [[59, "coq:flag.Printing-Dependent-Evars-Line"]], "printing depth (option)": [[59, "coq:opt.Printing-Depth"]], "printing unfocused (flag)": [[59, "coq:flag.Printing-Unfocused"]], "printing width (option)": [[59, "coq:opt.Printing-Width"]], "profile (command)": [[59, "coq:cmd.Profile"]], "quit (command)": [[59, "coq:cmd.Quit"]], "redirect (command)": [[59, "coq:cmd.Redirect"]], "register (command)": [[59, "coq:cmd.Register"]], "register inline (command)": [[59, "coq:cmd.Register-Inline"]], "register scheme (command)": [[59, "coq:cmd.Register-Scheme"]], "require (command)": [[59, "coq:cmd.Require"]], "require export (command)": [[59, "coq:cmd.Require-Export"]], "require import (command)": [[59, "coq:cmd.Require-Import"]], "require inside a module is deprecated and strongly discouraged. you can require a module at toplevel and optionally import it inside another one (warning)": [[59, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one"]], "required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ...) (error)": [[59, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)"]], "reset (command)": [[59, "coq:cmd.Reset"]], "reset initial (command)": [[59, "coq:cmd.Reset-Initial"]], "search (command)": [[59, "coq:cmd.Search"]], "search blacklist (table)": [[59, "coq:table.Search-Blacklist"]], "search output name only (flag)": [[59, "coq:flag.Search-Output-Name-Only"]], "searchpattern (command)": [[59, "coq:cmd.SearchPattern"]], "searchrewrite (command)": [[59, "coq:cmd.SearchRewrite"]], "silent (flag)": [[59, "coq:flag.Silent"]], "succeed (command)": [[59, "coq:cmd.Succeed"]], "the command has not failed! (error)": [[59, "coq:exn.The-command-has-not-failed!"]], "the file \u2018ident\u2019.vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019 (error)": [[59, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019"]], "the type \u2018ident\u2019 must be registered before this construction can be typechecked (error)": [[59, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked"]], "this object does not support universe names (error)": [[59, "coq:exn.This-object-does-not-support-universe-names"]], "time (command)": [[59, "coq:cmd.Time"]], "timeout (command)": [[59, "coq:cmd.Timeout"]], "type (command)": [[59, "coq:cmd.Type"]], "universe checking (flag)": [[59, "coq:flag.Universe-Checking"]], "universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019 (error)": [[59, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019"]], "warnings (option)": [[59, "coq:opt.Warnings"]], "bypass_check(guard) (attribute)": [[59, "coq:attr.bypass_check(guard)"]], "bypass_check(positivity) (attribute)": [[59, "coq:attr.bypass_check(positivity)"]], "bypass_check(universes) (attribute)": [[59, "coq:attr.bypass_check(universes)"]], "package-name.foo and not foo_plugin (error)": [[59, "coq:exn.package-name.foo-and-not-foo_plugin"]], "plugin name anymore. plugins should be loaded using their (error)": [[59, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their"]], "public name according to findlib, for example (error)": [[59, "coq:exn.public-name-according-to-findlib,-for-example"]], "shared library failed: coq error: \u2018string\u2019 is not a valid (error)": [[59, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid"]], "\u2018qualid\u2019 not a defined object (error)": [[59, "coq:exn.\u2018qualid\u2019-not-a-defined-object"]], "cannot coerce \u2018qualid\u2019 to an evaluable reference (error)": [[60, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference"]], "create hintdb (command)": [[60, "coq:cmd.Create-HintDb"]], "debug auto (flag)": [[60, "coq:flag.Debug-Auto"]], "debug eauto (flag)": [[60, "coq:flag.Debug-Eauto"]], "debug trivial (flag)": [[60, "coq:flag.Debug-Trivial"]], "declaring arbitrary terms as hints is fragile and deprecated": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "hint constants (command)": [[60, "coq:cmd.Hint-Constants"]], "hint constructors (command)": [[60, "coq:cmd.Hint-Constructors"]], "hint cut (command)": [[60, "coq:cmd.Hint-Cut"]], "hint extern (command)": [[60, "coq:cmd.Hint-Extern"]], "hint immediate (command)": [[60, "coq:cmd.Hint-Immediate"]], "hint mode (command)": [[60, "coq:cmd.Hint-Mode"]], "hint opaque (command)": [[60, "coq:cmd.Hint-Opaque"]], "hint projections (command)": [[60, "coq:cmd.Hint-Projections"]], "hint resolve (command)": [[60, "coq:cmd.Hint-Resolve"]], "hint rewrite (command)": [[60, "coq:cmd.Hint-Rewrite"]], "hint transparent (command)": [[60, "coq:cmd.Hint-Transparent"]], "hint unfold (command)": [[60, "coq:cmd.Hint-Unfold"]], "hint variables (command)": [[60, "coq:cmd.Hint-Variables"]], "info auto (flag)": [[60, "coq:flag.Info-Auto"]], "info eauto (flag)": [[60, "coq:flag.Info-Eauto"]], "info trivial (flag)": [[60, "coq:flag.Info-Trivial"]], "loose hint behavior (option)": [[60, "coq:opt.Loose-Hint-Behavior"]], "print hint (command)": [[60, "coq:cmd.Print-Hint"]], "print hintdb (command)": [[60, "coq:cmd.Print-HintDb"]], "print rewrite hintdb (command)": [[60, "coq:cmd.Print-Rewrite-HintDb"]], "proof with (command)": [[60, "coq:cmd.Proof-with"]], "remove hints (command)": [[60, "coq:cmd.Remove-Hints"]], "the \"at\" syntax isn't available yet for the autorewrite tactic (error)": [[60, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic"]], "this hint is not local but depends on a section variable. it will disappear when the section is closed (warning)": [[60, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed"]], "auto (tactic)": [[60, "coq:tacn.auto"]], "autorewrite (tactic)": [[60, "coq:tacn.autorewrite"]], "autounfold (tactic)": [[60, "coq:tacn.autounfold"]], "autounfold_one (tactic)": [[60, "coq:tacn.autounfold_one"]], "debug auto (tactic)": [[60, "coq:tacn.debug-auto"]], "debug eauto (tactic)": [[60, "coq:tacn.debug-eauto"]], "debug trivial (tactic)": [[60, "coq:tacn.debug-trivial"]], "easy (tactic)": [[60, "coq:tacn.easy"]], "eauto (tactic)": [[60, "coq:tacn.eauto"]], "info_auto (tactic)": [[60, "coq:tacn.info_auto"]], "info_eauto (tactic)": [[60, "coq:tacn.info_eauto"]], "info_trivial (tactic)": [[60, "coq:tacn.info_trivial"]], "it is recommended to declare a toplevel constant instead (warning)": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "now (tactic)": [[60, "coq:tacn.now"]], "trivial (tactic)": [[60, "coq:tacn.trivial"]], "\u2018qualid\u2019 cannot be used as a hint (error)": [[60, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint"]], "\u2018qualid\u2019 is not an inductive type (error)": [[60, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type"]], "cannot recognize a boolean equality (error)": [[62, "coq:exn.Cannot-recognize-a-boolean-equality"]], "firstorder depth (option)": [[62, "coq:opt.Firstorder-Depth"]], "firstorder solver (option)": [[62, "coq:opt.Firstorder-Solver"]], "goal is solvable by congruence but some arguments are missing. try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms (error)": [[62, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms"]], "i don\u2019t know how to handle dependent equality (error)": [[62, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality"]], "intuition negation unfolding (flag)": [[62, "coq:flag.Intuition-Negation-Unfolding"]], "print firstorder solver (command)": [[62, "coq:cmd.Print-Firstorder-Solver"]], "btauto (tactic)": [[62, "coq:tacn.btauto"]], "congruence (tactic)": [[62, "coq:tacn.congruence"]], "dintuition (tactic)": [[62, "coq:tacn.dintuition"]], "dtauto (tactic)": [[62, "coq:tacn.dtauto"]], "firstorder (tactic)": [[62, "coq:tacn.firstorder"]], "intuition (tactic)": [[62, "coq:tacn.intuition"]], "rtauto (tactic)": [[62, "coq:tacn.rtauto"]], "simple congruence (tactic)": [[62, "coq:tacn.simple-congruence"]], "tauto (tactic)": [[62, "coq:tacn.tauto"]], "bad occurrence number of \u2018qualid\u2019 (error)": [[64, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019"]], "cannot find a relation to rewrite (error)": [[64, "coq:exn.Cannot-find-a-relation-to-rewrite"]], "cannot find any non-recursive equality over \u2018ident\u2019 (error)": [[64, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019"]], "cannot turn [inductive|constructor] into an evaluable reference (error)": [[64, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference"]], "compute (command)": [[64, "coq:cmd.Compute"]], "declare equivalent keys (command)": [[64, "coq:cmd.Declare-Equivalent-Keys"]], "declare left step (command)": [[64, "coq:cmd.Declare-Left-Step"]], "declare reduction (command)": [[64, "coq:cmd.Declare-Reduction"]], "declare right step (command)": [[64, "coq:cmd.Declare-Right-Step"]], "eval (command)": [[64, "coq:cmd.Eval"]], "found an \"at\" clause without \"with\" clause (error)": [[64, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause"]], "found no subterm matching \u2018term\u2019 in the current goal (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal"]], "found no subterm matching \u2018term\u2019 in \u2018ident\u2019 (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019"]], "kernel term sharing (flag)": [[64, "coq:flag.Kernel-Term-Sharing"]], "keyed unification (flag)": [[64, "coq:flag.Keyed-Unification"]], "nativecompute profile filename (option)": [[64, "coq:opt.NativeCompute-Profile-Filename"]], "nativecompute profiling (flag)": [[64, "coq:flag.NativeCompute-Profiling"]], "nativecompute timing (flag)": [[64, "coq:flag.NativeCompute-Timing"]], "no head constant to reduce (error)": [[64, "coq:exn.No-head-constant-to-reduce"]], "not convertible (error)": [[64, "coq:exn.Not-convertible"]], "opaque (command)": [[64, "coq:cmd.Opaque"]], "print equivalent keys (command)": [[64, "coq:cmd.Print-Equivalent-Keys"]], "print strategies (command)": [[64, "coq:cmd.Print-Strategies"]], "print strategy (command)": [[64, "coq:cmd.Print-Strategy"]], "regular subst tactic (flag)": [[64, "coq:flag.Regular-Subst-Tactic"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019 (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion"]], "strategy (command)": [[64, "coq:cmd.Strategy"]], "tactic failure: setoid library not loaded (error)": [[64, "coq:exn.Tactic-failure:-Setoid-library-not-loaded"]], "tactic generated a subgoal identical to the original goal (error)": [[64, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal"]], "terms do not have convertible types (error)": [[64, "coq:exn.Terms-do-not-have-convertible-types"]], "the reference is not unfoldable (error)": [[64, "coq:exn.The-reference-is-not-unfoldable"]], "the reference \u2018qualid\u2019 was not found in the current environment (error)": [[64, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment"]], "the relation \u2018ident\u2019 is not a declared reflexive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared symmetric relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared transitive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "transparent (command)": [[64, "coq:cmd.Transparent"]], "cbn (tactic)": [[64, "coq:tacn.cbn"]], "cbv (tactic)": [[64, "coq:tacn.cbv"]], "change (tactic)": [[64, "coq:tacn.change"]], "change_no_check (tactic)": [[64, "coq:tacn.change_no_check"]], "compute (tactic)": [[64, "coq:tacn.compute"]], "erewrite (tactic)": [[64, "coq:tacn.erewrite"]], "etransitivity (tactic)": [[64, "coq:tacn.etransitivity"]], "eval (tactic)": [[64, "coq:tacn.eval"]], "f_equal (tactic)": [[64, "coq:tacn.f_equal"]], "fold (tactic)": [[64, "coq:tacn.fold"]], "hnf (tactic)": [[64, "coq:tacn.hnf"]], "lazy (tactic)": [[64, "coq:tacn.lazy"]], "native_compute (tactic)": [[64, "coq:tacn.native_compute"]], "now_show (tactic)": [[64, "coq:tacn.now_show"]], "pattern (tactic)": [[64, "coq:tacn.pattern"]], "red (tactic)": [[64, "coq:tacn.red"]], "reflexivity (tactic)": [[64, "coq:tacn.reflexivity"]], "replace (tactic)": [[64, "coq:tacn.replace"]], "rewrite (tactic)": [[64, "coq:tacn.rewrite"]], "rewrite * (tactic)": [[64, "coq:tacn.rewrite-*"]], "simpl (tactic)": [[64, "coq:tacn.simpl"]], "simple subst (tactic)": [[64, "coq:tacn.simple-subst"]], "stepl (tactic)": [[64, "coq:tacn.stepl"]], "stepr (tactic)": [[64, "coq:tacn.stepr"]], "subst (tactic)": [[64, "coq:tacn.subst"]], "substitute (tactic)": [[64, "coq:tacn.substitute"]], "symmetry (tactic)": [[64, "coq:tacn.symmetry"]], "transitivity (tactic)": [[64, "coq:tacn.transitivity"]], "unfold (tactic)": [[64, "coq:tacn.unfold"]], "vm_compute (tactic)": [[64, "coq:tacn.vm_compute"]], "with_strategy (tactic)": [[64, "coq:tacn.with_strategy"]], "\u2018ident\u2019 is opaque (error)": [[64, "coq:exn.\u2018ident\u2019-is-opaque"]], "\u2018qualid\u2019 does not occur (error)": [[64, "coq:exn.\u2018qualid\u2019-does-not-occur"]], "\"all\" is a predefined collection containing all variables. it can't be redefined (error)": [[66, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined"]], "abort (command)": [[66, "coq:cmd.Abort"]], "admitted (command)": [[66, "coq:cmd.Admitted"]], "attempt to save an incomplete proof (error)": [[66, "coq:exn.Attempt-to-save-an-incomplete-proof"]], "brackets do not support multi-goal selectors (error)": [[66, "coq:exn.Brackets-do-not-support-multi-goal-selectors"]], "bullet behavior (option)": [[66, "coq:opt.Bullet-Behavior"]], "collection (command)": [[66, "coq:cmd.Collection"]], "default proof mode (option)": [[66, "coq:opt.Default-Proof-Mode"]], "default proof using (option)": [[66, "coq:opt.Default-Proof-Using"]], "defined (command)": [[66, "coq:cmd.Defined"]], "diffs (option)": [[66, "coq:opt.Diffs"]], "focus (command)": [[66, "coq:cmd.Focus"]], "goal (command)": [[66, "coq:cmd.Goal"]], "guarded (command)": [[66, "coq:cmd.Guarded"]], "hyps limit (option)": [[66, "coq:opt.Hyps-Limit"]], "mangle names (flag)": [[66, "coq:flag.Mangle-Names"]], "mangle names light (flag)": [[66, "coq:flag.Mangle-Names-Light"]], "mangle names prefix (option)": [[66, "coq:opt.Mangle-Names-Prefix"]], "nested proofs allowed (flag)": [[66, "coq:flag.Nested-Proofs-Allowed"]], "new collection definition of \u2018ident\u2019 shadows the previous one (warning)": [[66, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one"]], "no focused proof (no proof-editing in progress) (error)": [[66, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)"]], "no focused proof (error)": [[66, "coq:exn.No-focused-proof"]], "no focused proof to restart (error)": [[66, "coq:exn.No-focused-proof-to-restart"]], "no such goal (error)": [[66, "coq:exn.No-such-goal"]], "no such goal (\u2018ident\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018ident\u2019)"]], "no such goal (\u2018natural\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018natural\u2019)"]], "no such goal. focus next goal with bullet \u2018bullet\u2019 (error)": [[66, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019"]], "no such goal. try unfocusing with } (error)": [[66, "coq:exn.No-such-goal.-Try-unfocusing-with-}"]], "optimize heap (command)": [[66, "coq:cmd.Optimize-Heap"]], "optimize proof (command)": [[66, "coq:cmd.Optimize-Proof"]], "print debug gc (command)": [[66, "coq:cmd.Print-Debug-GC"]], "printing goal names (flag)": [[66, "coq:flag.Printing-Goal-Names"]], "printing goal tags (flag)": [[66, "coq:flag.Printing-Goal-Tags"]], "proof (command)": [[66, "coq:cmd.Proof"]], "proof mode (command)": [[66, "coq:cmd.Proof-Mode"]], "proof `term` (command)": [[66, "coq:cmd.Proof-`term`"]], "proof is not complete. (abstract) (error)": [[66, "coq:exn.Proof-is-not-complete.-(abstract)"]], "proof using (command)": [[66, "coq:cmd.Proof-using"]], "qed (command)": [[66, "coq:cmd.Qed"]], "restart (command)": [[66, "coq:cmd.Restart"]], "save (command)": [[66, "coq:cmd.Save"]], "show (command)": [[66, "coq:cmd.Show"]], "show conjectures (command)": [[66, "coq:cmd.Show-Conjectures"]], "show existentials (command)": [[66, "coq:cmd.Show-Existentials"]], "show goal (command)": [[66, "coq:cmd.Show-Goal"]], "show intro (command)": [[66, "coq:cmd.Show-Intro"]], "show intros (command)": [[66, "coq:cmd.Show-Intros"]], "show match (command)": [[66, "coq:cmd.Show-Match"]], "show proof (command)": [[66, "coq:cmd.Show-Proof"]], "show universes (command)": [[66, "coq:cmd.Show-Universes"]], "solve unification constraints (flag)": [[66, "coq:flag.Solve-Unification-Constraints"]], "suggest proof using (flag)": [[66, "coq:flag.Suggest-Proof-Using"]], "this proof is focused, but cannot be unfocused this way (error)": [[66, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way"]], "undo (command)": [[66, "coq:cmd.Undo"]], "unfocus (command)": [[66, "coq:cmd.Unfocus"]], "unfocused (command)": [[66, "coq:cmd.Unfocused"]], "unknown inductive type (error)": [[66, "coq:exn.Unknown-inductive-type"]], "unshelve (command)": [[66, "coq:cmd.Unshelve"]], "validate proof (command)": [[66, "coq:cmd.Validate-Proof"]], "variable all is shadowed by collection named all containing all variables (warning)": [[66, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables"]], "wrong bullet \u2018bullet\u2019: bullet \u2018bullet\u2019 is mandatory here (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here"]], "wrong bullet \u2018bullet\u2019: current bullet \u2018bullet\u2019 is not finished (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished"]], "abstract (tactic)": [[66, "coq:tacn.abstract"]], "admit (tactic)": [[66, "coq:tacn.admit"]], "bullet (- + *) (tactic)": [[66, "coq:tacn.bullet-(--+-*)"]], "cycle (tactic)": [[66, "coq:tacn.cycle"]], "give_up (tactic)": [[66, "coq:tacn.give_up"]], "revgoals (tactic)": [[66, "coq:tacn.revgoals"]], "shelve (tactic)": [[66, "coq:tacn.shelve"]], "shelve_unifiable (tactic)": [[66, "coq:tacn.shelve_unifiable"]], "solve_constraints (tactic)": [[66, "coq:tacn.solve_constraints"]], "swap (tactic)": [[66, "coq:tacn.swap"]], "transparent_abstract (tactic)": [[66, "coq:tacn.transparent_abstract"]], "unshelve (tactic)": [[66, "coq:tacn.unshelve"]], "using (attribute)": [[66, "coq:attr.using"]], "{ (tactic)": [[66, "coq:tacn.{"]], "} (tactic)": [[66, "coq:tacn.}"]], "\u2018ident\u2019 is both name of a collection and variable, collection \u2018ident\u2019 takes precedence over variable (warning)": [[66, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable"]], "\u2018ident\u2019 was already a defined variable, the name \u2018ident\u2019 will refer to collection when executing \"proof using\" command (warning)": [[66, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command"]], "boolean equality schemes (flag)": [[67, "coq:flag.Boolean-Equality-Schemes"]], "cannot recognize a statement based on \u2018reference\u2019 (error)": [[67, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019"]], "case analysis schemes (flag)": [[67, "coq:flag.Case-Analysis-Schemes"]], "combined scheme (command)": [[67, "coq:cmd.Combined-Scheme"]], "decidable equality schemes (flag)": [[67, "coq:flag.Decidable-Equality-Schemes"]], "derive dependent inversion (command)": [[67, "coq:cmd.Derive-Dependent-Inversion"]], "derive dependent inversion_clear (command)": [[67, "coq:cmd.Derive-Dependent-Inversion_clear"]], "derive inversion (command)": [[67, "coq:cmd.Derive-Inversion"]], "derive inversion_clear (command)": [[67, "coq:cmd.Derive-Inversion_clear"]], "elimination schemes (flag)": [[67, "coq:flag.Elimination-Schemes"]], "keep equalities (table)": [[67, "coq:table.Keep-Equalities"]], "keep proof equalities (flag)": [[67, "coq:flag.Keep-Proof-Equalities"]], "no information can be deduced from this equality and the injectivity of constructors. this may be because the terms are convertible, or due to pattern matching restrictions in the sort prop. you can try to use option set keep proof equalities (error)": [[67, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities"]], "no primitive equality found (error)": [[67, "coq:exn.No-primitive-equality-found"]], "nonrecursive elimination schemes (flag)": [[67, "coq:flag.Nonrecursive-Elimination-Schemes"]], "not a discriminable equality (error)": [[67, "coq:exn.Not-a-discriminable-equality"]], "not a negated primitive equality (error)": [[67, "coq:exn.Not-a-negated-primitive-equality"]], "not an inductive goal with 1 constructor (error)": [[67, "coq:exn.Not-an-inductive-goal-with-1-constructor"]], "not an inductive goal with 2 constructors (error)": [[67, "coq:exn.Not-an-inductive-goal-with-2-constructors"]], "not an inductive product (error)": [[67, "coq:exn.Not-an-inductive-product"]], "not enough constructors (error)": [[67, "coq:exn.Not-enough-constructors"]], "nothing to inject (error)": [[67, "coq:exn.Nothing-to-inject"]], "rewriting schemes (flag)": [[67, "coq:flag.Rewriting-Schemes"]], "scheme (command)": [[67, "coq:cmd.Scheme"]], "scheme boolean equality (command)": [[67, "coq:cmd.Scheme-Boolean-Equality"]], "scheme equality (command)": [[67, "coq:cmd.Scheme-Equality"]], "structural injection (flag)": [[67, "coq:flag.Structural-Injection"]], "the type has no constructors (error)": [[67, "coq:exn.The-type-has-no-constructors"]], "type of \u2018ident\u2019 is not an equality of recognized \u03c3 types: expected one of sig sig2 sigt sigt2 sigt2 ex or ex2 but got \u2018term\u2019 (error)": [[67, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019"]], "unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019 (error)": [[67, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019"]], "case (tactic)": [[67, "coq:tacn.case"]], "case_eq (tactic)": [[67, "coq:tacn.case_eq"]], "cofix (tactic)": [[67, "coq:tacn.cofix"]], "compare (tactic)": [[67, "coq:tacn.compare"]], "constructor (tactic)": [[67, "coq:tacn.constructor"]], "decide (tactic)": [[67, "coq:tacn.decide"]], "decide equality (tactic)": [[67, "coq:tacn.decide-equality"]], "decompose (tactic)": [[67, "coq:tacn.decompose"]], "decompose record (tactic)": [[67, "coq:tacn.decompose-record"]], "decompose sum (tactic)": [[67, "coq:tacn.decompose-sum"]], "dependent destruction (tactic)": [[67, "coq:tacn.dependent-destruction"]], "dependent induction (tactic)": [[67, "coq:tacn.dependent-induction"]], "dependent inversion (tactic)": [[67, "coq:tacn.dependent-inversion"]], "dependent inversion_clear (tactic)": [[67, "coq:tacn.dependent-inversion_clear"]], "dependent rewrite (tactic)": [[67, "coq:tacn.dependent-rewrite"]], "dependent simple inversion (tactic)": [[67, "coq:tacn.dependent-simple-inversion"]], "destauto (tactic)": [[67, "coq:tacn.destauto"]], "destruct (tactic)": [[67, "coq:tacn.destruct"]], "discriminate (tactic)": [[67, "coq:tacn.discriminate"]], "ecase (tactic)": [[67, "coq:tacn.ecase"]], "econstructor (tactic)": [[67, "coq:tacn.econstructor"]], "edestruct (tactic)": [[67, "coq:tacn.edestruct"]], "ediscriminate (tactic)": [[67, "coq:tacn.ediscriminate"]], "eelim (tactic)": [[67, "coq:tacn.eelim"]], "eexists (tactic)": [[67, "coq:tacn.eexists"]], "einduction (tactic)": [[67, "coq:tacn.einduction"]], "einjection (tactic)": [[67, "coq:tacn.einjection"]], "eleft (tactic)": [[67, "coq:tacn.eleft"]], "elim (tactic)": [[67, "coq:tacn.elim"]], "eright (tactic)": [[67, "coq:tacn.eright"]], "esimplify_eq (tactic)": [[67, "coq:tacn.esimplify_eq"]], "esplit (tactic)": [[67, "coq:tacn.esplit"]], "exists (tactic)": [[67, "coq:tacn.exists"]], "fix (tactic)": [[67, "coq:tacn.fix"]], "induction (tactic)": [[67, "coq:tacn.induction"]], "injection (tactic)": [[67, "coq:tacn.injection"]], "inversion (tactic)": [[67, "coq:tacn.inversion"]], "inversion_clear (tactic)": [[67, "coq:tacn.inversion_clear"]], "inversion_sigma (tactic)": [[67, "coq:tacn.inversion_sigma"]], "left (tactic)": [[67, "coq:tacn.left"]], "right (tactic)": [[67, "coq:tacn.right"]], "simple destruct (tactic)": [[67, "coq:tacn.simple-destruct"]], "simple induction (tactic)": [[67, "coq:tacn.simple-induction"]], "simple injection (tactic)": [[67, "coq:tacn.simple-injection"]], "simple inversion (tactic)": [[67, "coq:tacn.simple-inversion"]], "simplify_eq (tactic)": [[67, "coq:tacn.simplify_eq"]], "split (tactic)": [[67, "coq:tacn.split"]], "\u2018ident\u2019 is not an equality of \u03c3 types (error)": [[67, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types"]], "'via' and 'abstract' cannot be used together (error)": [[71, "coq:exn.'via'-and-'abstract'-cannot-be-used-together"]], "activation of abbreviations does not expect mentioning a grammar entry (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry"]], "activation of abbreviations does not expect mentioning a scope (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope"]], "bind scope (command)": [[71, "coq:cmd.Bind-Scope"]], "cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment (error)": [[71, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment"]], "cannot interpret this number as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019"]], "cannot interpret this string as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019"]], "close scope (command)": [[71, "coq:cmd.Close-Scope"]], "declare custom entry (command)": [[71, "coq:cmd.Declare-Custom-Entry"]], "declare scope (command)": [[71, "coq:cmd.Declare-Scope"]], "delimit scope (command)": [[71, "coq:cmd.Delimit-Scope"]], "disable notation (command)": [[71, "coq:cmd.Disable-Notation"]], "enable notation (command)": [[71, "coq:cmd.Enable-Notation"]], "end of quoted string not followed by a space in notation (error)": [[71, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation"]], "found no matching notation to enable or disable (warning)": [[71, "coq:warn.Found-no-matching-notation-to-enable-or-disable"]], "infix (command)": [[71, "coq:cmd.Infix"]], "missing mapping for constructor \u2018qualid\u2019 (error)": [[71, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019"]], "more than one interpretation bound to this notation, confirm with the \"all\" modifier (error)": [[71, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier"]], "multiple 'via' options (error)": [[71, "coq:exn.Multiple-'via'-options"]], "multiple 'warning after' or 'abstract after' options (error)": [[71, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options"]], "no notation provided (error)": [[71, "coq:exn.No-notation-provided"]], "notation (abbreviation) (command)": [[71, "coq:cmd.Notation-(abbreviation)"]], "notation (command)": [[71, "coq:cmd.Notation"]], "number notation (command)": [[71, "coq:cmd.Number-Notation"]], "open scope (command)": [[71, "coq:cmd.Open-Scope"]], "print custom grammar (command)": [[71, "coq:cmd.Print-Custom-Grammar"]], "print grammar (command)": [[71, "coq:cmd.Print-Grammar"]], "print keywords (command)": [[71, "coq:cmd.Print-Keywords"]], "print notation (command)": [[71, "coq:cmd.Print-Notation"]], "print scope (command)": [[71, "coq:cmd.Print-Scope"]], "print scopes (command)": [[71, "coq:cmd.Print-Scopes"]], "print visibility (command)": [[71, "coq:cmd.Print-Visibility"]], "printing notations (flag)": [[71, "coq:flag.Printing-Notations"]], "printing parentheses (flag)": [[71, "coq:flag.Printing-Parentheses"]], "printing raw literals (flag)": [[71, "coq:flag.Printing-Raw-Literals"]], "reserved infix (command)": [[71, "coq:cmd.Reserved-Infix"]], "reserved notation (command)": [[71, "coq:cmd.Reserved-Notation"]], "scope delimiters should not start with an underscore (error)": [[71, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore"]], "scope names should not start with an underscore (error)": [[71, "coq:exn.Scope-names-should-not-start-with-an-underscore"]], "stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed) (warning)": [[71, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)"]], "string notation (command)": [[71, "coq:cmd.String-Notation"]], "syntax error: [prim:reference] expected after 'notation' (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])"]], "syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])"]], "tactic notation (command)": [[71, "coq:cmd.Tactic-Notation"]], "the 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type (warning)": [[71, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type"]], "to avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019 (warning)": [[71, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019"]], "type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. expected type is: \u2018type\u2019 instead of \u2018type\u2019. this might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation"]], "undelimit scope (command)": [[71, "coq:cmd.Undelimit-Scope"]], "unexpected non-option term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected non-option term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unexpected only parsing for an only printing notation (error)": [[71, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation"]], "unexpected only printing for an only parsing notation (error)": [[71, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation"]], "unexpected term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unknown custom entry (error)": [[71, "coq:exn.Unknown-custom-entry"]], "unknown custom entry: \u2018ident\u2019 (error)": [[71, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019"]], "unterminated string in notation (error)": [[71, "coq:exn.Unterminated-string-in-notation"]], "use of \u2018string\u2019 notation is deprecated as it is inconsistent with pattern syntax (warning)": [[71, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax"]], "add_bottom (attribute)": [[71, "coq:attr.add_bottom"]], "add_top (attribute)": [[71, "coq:attr.add_top"]], "closed-notation-not-level-0 (warning)": [[71, "coq:warn.closed-notation-not-level-0"]], "function_scope": [[71, "index-1"]], "notation-incompatible-prefix (warning)": [[71, "coq:warn.notation-incompatible-prefix"]], "overflow in int63 literal \u2018bigint\u2019 (error)": [[71, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019"]], "postfix-notation-not-level-1 (warning)": [[71, "coq:warn.postfix-notation-not-level-1"]], "type_scope": [[71, "index-0"]], "\u2018qualid\u2019 is bound to a notation that does not denote a reference (error)": [[71, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference"]], "\u2018qualid\u2019 should go from byte.byte, (list byte.byte), or primstring.string to \u2018type\u2019 or (option \u2018type\u2019) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)"]], "\u2018qualid\u2019 should go from number.int to \u2018type\u2019 or (option \u2018type\u2019). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or primfloat.float or number.number could be used (you may need to require binnums or number or primint63 or primfloat first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to number.int or (option number.int). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or number.number could be used (you may need to require binnums or number or primint63 first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to t or (option t), where t is either byte.byte, (list byte.byte), or primstring.string (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string"]], "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019 (error)": [[71, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018string\u2019 cannot be interpreted as a known notation. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018type\u2019 is not an inductive type (error)": [[71, "coq:exn.\u2018type\u2019-is-not-an-inductive-type"]], "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation"]], "cannot build functional inversion principle (warning)": [[72, "coq:warn.Cannot-build-functional-inversion-principle"]], "cannot define graph for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019"]], "cannot define principle(s) for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019"]], "cannot find induction information on \u2018qualid\u2019 (error)": [[72, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019"]], "cannot find inversion information for hypothesis \u2018ident\u2019 (error)": [[72, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019"]], "cannot use mutual definition with well-founded recursion or measure (error)": [[72, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure"]], "function (command)": [[72, "coq:cmd.Function"]], "functional case (command)": [[72, "coq:cmd.Functional-Case"]], "functional scheme (command)": [[72, "coq:cmd.Functional-Scheme"]], "generate graph for (command)": [[72, "coq:cmd.Generate-graph-for"]], "hypothesis \u2018ident\u2019 must contain at least one function (error)": [[72, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function"]], "no argument name \u2018ident\u2019 (error)": [[72, "coq:exn.No-argument-name-\u2018ident\u2019"]], "not the right number of induction arguments (error)": [[72, "coq:exn.Not-the-right-number-of-induction-arguments"]], "the recursive argument must be specified (error)": [[72, "coq:exn.The-recursive-argument-must-be-specified"]], "functional induction (tactic)": [[72, "coq:tacn.functional-induction"]], "functional inversion (tactic)": [[72, "coq:tacn.functional-inversion"]], "soft functional induction (tactic)": [[72, "coq:tacn.soft-functional-induction"]], "library file (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "library file \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "tactic notation \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "deprecated (attribute)": [[74, "coq:attr.deprecated"]], "warn (attribute)": [[74, "coq:attr.warn"]], "\u2018string\u2019 (warning)": [[74, "coq:warn.\u2018string\u2019"]], "coqdoc": [[75, "index-0"]]}})
\ No newline at end of file
diff --git a/master/stdlib/Stdlib.Arith.Arith_base.html b/master/stdlib/Stdlib.Arith.Arith_base.html
index c22c4f776e..ac1154f6fb 100644
--- a/master/stdlib/Stdlib.Arith.Arith_base.html
+++ b/master/stdlib/Stdlib.Arith.Arith_base.html
@@ -57,7 +57,7 @@ <h1 class="libtitle">Library Stdlib.Arith.Arith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab17"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">arith</span></span> hint database</h1>
+<a id="lab1"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">arith</span></span> hint database</h1>
 
 </div>
 <div class="code">
@@ -79,7 +79,7 @@ <h1 class="libtitle">Library Stdlib.Arith.Arith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab18"></a><h2 class="section"><span class="inlinecode"><span class="id" title="var">lt</span></span> and <span class="inlinecode"><span class="id" title="var">le</span></span></h2>
+<a id="lab2"></a><h2 class="section"><span class="inlinecode"><span class="id" title="var">lt</span></span> and <span class="inlinecode"><span class="id" title="var">le</span></span></h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Arith.EqNat.html b/master/stdlib/Stdlib.Arith.EqNat.html
index 3aab1945f3..58aca21c1f 100644
--- a/master/stdlib/Stdlib.Arith.EqNat.html
+++ b/master/stdlib/Stdlib.Arith.EqNat.html
@@ -55,7 +55,7 @@ <h1 class="libtitle">Library Stdlib.Arith.EqNat</h1>
 Equality on natural numbers 
 <div class="paragraph"> </div>
 
-<a id="lab1"></a><h1 class="section">Propositional equality</h1>
+<a id="lab18"></a><h1 class="section">Propositional equality</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Arith.PeanoNat.html b/master/stdlib/Stdlib.Arith.PeanoNat.html
index c794386edc..9043ff9a83 100644
--- a/master/stdlib/Stdlib.Arith.PeanoNat.html
+++ b/master/stdlib/Stdlib.Arith.PeanoNat.html
@@ -148,7 +148,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab2"></a><h2 class="section">Remaining constants not defined in Stdlib.Init.Nat</h2>
+<a id="lab3"></a><h2 class="section">Remaining constants not defined in Stdlib.Init.Nat</h2>
 
 <div class="paragraph"> </div>
 
@@ -166,7 +166,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab3"></a><h2 class="section">Basic specifications : pred add sub mul</h2>
+<a id="lab4"></a><h2 class="section">Basic specifications : pred add sub mul</h2>
 
 </div>
 <div class="code">
@@ -208,7 +208,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab4"></a><h2 class="section">Boolean comparisons</h2>
+<a id="lab5"></a><h2 class="section">Boolean comparisons</h2>
 
 </div>
 <div class="code">
@@ -240,7 +240,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab5"></a><h2 class="section">Decidability of equality over <span class="inlinecode"><span class="id" title="var">nat</span></span>.</h2>
+<a id="lab6"></a><h2 class="section">Decidability of equality over <span class="inlinecode"><span class="id" title="var">nat</span></span>.</h2>
 
 </div>
 <div class="code">
@@ -252,7 +252,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab6"></a><h2 class="section">Ternary comparison</h2>
+<a id="lab7"></a><h2 class="section">Ternary comparison</h2>
 
 <div class="paragraph"> </div>
 
@@ -281,7 +281,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab7"></a><h2 class="section">Minimum, maximum</h2>
+<a id="lab8"></a><h2 class="section">Minimum, maximum</h2>
 
 </div>
 <div class="code">
@@ -331,7 +331,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab8"></a><h2 class="section">Power</h2>
+<a id="lab9"></a><h2 class="section">Power</h2>
 
 </div>
 <div class="code">
@@ -349,7 +349,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab9"></a><h2 class="section">Square</h2>
+<a id="lab10"></a><h2 class="section">Square</h2>
 
 </div>
 <div class="code">
@@ -361,7 +361,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab10"></a><h2 class="section">Parity</h2>
+<a id="lab11"></a><h2 class="section">Parity</h2>
 
 </div>
 <div class="code">
@@ -405,7 +405,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab11"></a><h2 class="section">Division</h2>
+<a id="lab12"></a><h2 class="section">Division</h2>
 
 </div>
 <div class="code">
@@ -434,7 +434,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab12"></a><h2 class="section">Square root</h2>
+<a id="lab13"></a><h2 class="section">Square root</h2>
 
 </div>
 <div class="code">
@@ -458,7 +458,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab13"></a><h2 class="section">Logarithm</h2>
+<a id="lab14"></a><h2 class="section">Logarithm</h2>
 
 </div>
 <div class="code">
@@ -480,7 +480,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab14"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">iter</span></span></h2>
+<a id="lab15"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">iter</span></span></h2>
 
 </div>
 <div class="code">
@@ -532,7 +532,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab15"></a><h2 class="section">Gcd</h2>
+<a id="lab16"></a><h2 class="section">Gcd</h2>
 
 </div>
 <div class="code">
@@ -560,7 +560,7 @@ <h1 class="libtitle">Library Stdlib.Arith.PeanoNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab16"></a><h2 class="section">Bitwise operations</h2>
+<a id="lab17"></a><h2 class="section">Bitwise operations</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Bool.Bool.html b/master/stdlib/Stdlib.Bool.Bool.html
index 1807ac9d1b..11017410c5 100644
--- a/master/stdlib/Stdlib.Bool.Bool.html
+++ b/master/stdlib/Stdlib.Bool.Bool.html
@@ -89,7 +89,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
-<a id="lab34"></a><h1 class="section">Decidability</h1>
+<a id="lab690"></a><h1 class="section">Decidability</h1>
 
 </div>
 <div class="code">
@@ -101,7 +101,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
-<a id="lab35"></a><h1 class="section">Discrimination</h1>
+<a id="lab691"></a><h1 class="section">Discrimination</h1>
 
 </div>
 <div class="code">
@@ -137,7 +137,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
-<a id="lab36"></a><h1 class="section">Order on booleans</h1>
+<a id="lab692"></a><h1 class="section">Order on booleans</h1>
 
 </div>
 <div class="code">
@@ -179,7 +179,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
-<a id="lab37"></a><h1 class="section">Equality</h1>
+<a id="lab693"></a><h1 class="section">Equality</h1>
 
 </div>
 <div class="code">
@@ -222,7 +222,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
-<a id="lab38"></a><h1 class="section">A synonym of <span class="inlinecode"><span class="id" title="keyword">if</span></span> on <span class="inlinecode"><span class="id" title="var">bool</span></span></h1>
+<a id="lab694"></a><h1 class="section">A synonym of <span class="inlinecode"><span class="id" title="keyword">if</span></span> on <span class="inlinecode"><span class="id" title="var">bool</span></span></h1>
 
 </div>
 <div class="code">
@@ -241,7 +241,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
-<a id="lab39"></a><h1 class="section">De Morgan laws</h1>
+<a id="lab695"></a><h1 class="section">De Morgan laws</h1>
 
 </div>
 <div class="code">
@@ -256,7 +256,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
-<a id="lab40"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">negb</span></span></h1>
+<a id="lab696"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">negb</span></span></h1>
 
 </div>
 <div class="code">
@@ -298,7 +298,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
-<a id="lab41"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">orb</span></span></h1>
+<a id="lab697"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">orb</span></span></h1>
 
 </div>
 <div class="code">
@@ -426,7 +426,7 @@ <h1 class="libtitle">Library Stdlib.Bool.Bool</h1>
 </div>
 
 <div class="doc">
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index c1a0140712..79afaabcd5 100644
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index b8f4bf1872..b8b4e67367 100644
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 </div>
 <div class="code">
@@ -155,7 +155,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FMapWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab406"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">find</span></span></h1>
+<a id="lab784"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">find</span></span></h1>
 
 </div>
 <div class="code">
@@ -184,7 +184,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FMapWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab407"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">add</span></span></h1>
+<a id="lab785"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">add</span></span></h1>
 
 </div>
 <div class="code">
@@ -228,7 +228,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FMapWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab408"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">remove</span></span></h1>
+<a id="lab786"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">remove</span></span></h1>
 
 </div>
 <div class="code">
@@ -262,7 +262,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FMapWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab409"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">elements</span></span></h1>
+<a id="lab787"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">elements</span></span></h1>
 
 </div>
 <div class="code">
@@ -283,7 +283,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FMapWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab410"></a><h1 class="section"><span class="inlinecode"><span class="id" title="tactic">fold</span></span></h1>
+<a id="lab788"></a><h1 class="section"><span class="inlinecode"><span class="id" title="tactic">fold</span></span></h1>
 
 </div>
 <div class="code">
@@ -303,7 +303,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FMapWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab411"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">equal</span></span></h1>
+<a id="lab789"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">equal</span></span></h1>
 
 </div>
 <div class="code">
@@ -364,7 +364,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FMapWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab412"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">map</span></span> and <span class="inlinecode"><span class="id" title="var">mapi</span></span></h1>
+<a id="lab790"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">map</span></span> and <span class="inlinecode"><span class="id" title="var">mapi</span></span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.FSets.FSetAVL.html b/master/stdlib/Stdlib.FSets.FSetAVL.html
index 852f2563ec..759b6336fd 100644
--- a/master/stdlib/Stdlib.FSets.FSetAVL.html
+++ b/master/stdlib/Stdlib.FSets.FSetAVL.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetAVL</h1>
 </div>
 
 <div class="doc">
-<a id="lab493"></a><h1 class="section">FSetAVL : Implementation of FSetInterface via AVL trees</h1>
+<a id="lab757"></a><h1 class="section">FSetAVL : Implementation of FSetInterface via AVL trees</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.FSets.FSetBridge.html b/master/stdlib/Stdlib.FSets.FSetBridge.html
index e6542ed8e5..2b36a95abf 100644
--- a/master/stdlib/Stdlib.FSets.FSetBridge.html
+++ b/master/stdlib/Stdlib.FSets.FSetBridge.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetBridge</h1>
 </div>
 
 <div class="doc">
-<a id="lab494"></a><h1 class="section">Finite sets library</h1>
+<a id="lab875"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
@@ -65,7 +65,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetBridge</h1>
 </div>
 
 <div class="doc">
-<a id="lab495"></a><h1 class="section">From non-dependent signature <span class="inlinecode"><span class="id" title="var">S</span></span> to dependent signature <span class="inlinecode"><span class="id" title="var">Sdep</span></span>.</h1>
+<a id="lab876"></a><h1 class="section">From non-dependent signature <span class="inlinecode"><span class="id" title="var">S</span></span> to dependent signature <span class="inlinecode"><span class="id" title="var">Sdep</span></span>.</h1>
 
 </div>
 <div class="code">
@@ -243,7 +243,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetBridge</h1>
 </div>
 
 <div class="doc">
-<a id="lab496"></a><h1 class="section">From dependent signature <span class="inlinecode"><span class="id" title="var">Sdep</span></span> to non-dependent signature <span class="inlinecode"><span class="id" title="var">S</span></span>.</h1>
+<a id="lab877"></a><h1 class="section">From dependent signature <span class="inlinecode"><span class="id" title="var">Sdep</span></span> to non-dependent signature <span class="inlinecode"><span class="id" title="var">S</span></span>.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.FSets.FSetCompat.html b/master/stdlib/Stdlib.FSets.FSetCompat.html
index 189d7d812b..e3f9c1002b 100644
--- a/master/stdlib/Stdlib.FSets.FSetCompat.html
+++ b/master/stdlib/Stdlib.FSets.FSetCompat.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetCompat</h1>
 </div>
 
 <div class="doc">
-<a id="lab488"></a><h1 class="section">Compatibility functors between FSetInterface and MSetInterface.</h1>
+<a id="lab870"></a><h1 class="section">Compatibility functors between FSetInterface and MSetInterface.</h1>
 
 </div>
 <div class="code">
@@ -64,7 +64,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetCompat</h1>
 </div>
 
 <div class="doc">
-<a id="lab489"></a><h1 class="section">From new Weak Sets to old ones</h1>
+<a id="lab871"></a><h1 class="section">From new Weak Sets to old ones</h1>
 
 </div>
 <div class="code">
@@ -227,7 +227,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetCompat</h1>
 </div>
 
 <div class="doc">
-<a id="lab490"></a><h1 class="section">From new Sets to new ones</h1>
+<a id="lab872"></a><h1 class="section">From new Sets to new ones</h1>
 
 </div>
 <div class="code">
@@ -285,7 +285,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetCompat</h1>
 </div>
 
 <div class="doc">
-<a id="lab491"></a><h1 class="section">From old Weak Sets to new ones.</h1>
+<a id="lab873"></a><h1 class="section">From old Weak Sets to new ones.</h1>
 
 </div>
 <div class="code">
@@ -428,7 +428,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetCompat</h1>
 </div>
 
 <div class="doc">
-<a id="lab492"></a><h1 class="section">From old Sets to new ones.</h1>
+<a id="lab874"></a><h1 class="section">From old Sets to new ones.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.FSets.FSetDecide.html b/master/stdlib/Stdlib.FSets.FSetDecide.html
index 1ca497552e..305b808f70 100644
--- a/master/stdlib/Stdlib.FSets.FSetDecide.html
+++ b/master/stdlib/Stdlib.FSets.FSetDecide.html
@@ -74,7 +74,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab436"></a><h1 class="section">Overview</h1>
+<a id="lab738"></a><h1 class="section">Overview</h1>
 
     This functor defines the tactic <span class="inlinecode"><span class="id" title="var">fsetdec</span></span>, which will
     solve any valid goal of the form
@@ -180,7 +180,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab437"></a><h1 class="section">Facts and Tactics for Propositional Logic</h1>
+<a id="lab739"></a><h1 class="section">Facts and Tactics for Propositional Logic</h1>
 
       These lemmas and tactics are in a module so that they do
       not affect the namespace if you import the enclosing
@@ -195,18 +195,18 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab438"></a><h2 class="section">Lemmas and Tactics About Decidable Propositions</h2>
+<a id="lab740"></a><h2 class="section">Lemmas and Tactics About Decidable Propositions</h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab439"></a><h2 class="section">Propositional Equivalences Involving Negation</h2>
+<a id="lab741"></a><h2 class="section">Propositional Equivalences Involving Negation</h2>
 
         These are all written with the unfolded form of
         negation, since I am not sure if setoid rewriting will
         always perform conversion. 
 <div class="paragraph"> </div>
 
-<a id="lab440"></a><h2 class="section">Tactics for Negations</h2>
+<a id="lab742"></a><h2 class="section">Tactics for Negations</h2>
 
 </div>
 <div class="code">
@@ -457,7 +457,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab441"></a><h1 class="section">Auxiliary Tactics</h1>
+<a id="lab743"></a><h1 class="section">Auxiliary Tactics</h1>
 
       Again, these lemmas and tactics are in a module so that
       they do not affect the namespace if you import the
@@ -470,7 +470,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab442"></a><h2 class="section">Generic Tactics</h2>
+<a id="lab744"></a><h2 class="section">Generic Tactics</h2>
 
         We begin by defining a few generic, useful tactics. 
 <div class="paragraph"> </div>
@@ -587,7 +587,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab443"></a><h2 class="section">Discarding Irrelevant Hypotheses</h2>
+<a id="lab745"></a><h2 class="section">Discarding Irrelevant Hypotheses</h2>
 
         We will want to clear the context of any
         non-FSet-related hypotheses in order to increase the
@@ -667,7 +667,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab444"></a><h2 class="section">Turning Set Operators into Propositional Connectives</h2>
+<a id="lab746"></a><h2 class="section">Turning Set Operators into Propositional Connectives</h2>
 
         The lemmas from <span class="inlinecode"><span class="id" title="var">FSetFacts</span></span> will be used to break down
         set operations into propositional formulas built over
@@ -693,7 +693,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab445"></a><h2 class="section">Decidability of FSet Propositions</h2>
+<a id="lab747"></a><h2 class="section">Decidability of FSet Propositions</h2>
 
 <div class="paragraph"> </div>
 
@@ -728,7 +728,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab446"></a><h2 class="section">Normalizing Propositions About Equality</h2>
+<a id="lab748"></a><h2 class="section">Normalizing Propositions About Equality</h2>
 
         We have to deal with the fact that <span class="inlinecode"><span class="id" title="var">E.eq</span></span> may be
         convertible with Coq's equality.  Thus, we will find the
@@ -811,7 +811,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab447"></a><h2 class="section">Considering Decidability of Base Propositions</h2>
+<a id="lab749"></a><h2 class="section">Considering Decidability of Base Propositions</h2>
 
         This tactic adds assertions about the decidability of
         <span class="inlinecode"><span class="id" title="var">E.eq</span></span> and <span class="inlinecode"><span class="id" title="var">In</span></span> to the context.  This is necessary for
@@ -860,7 +860,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab448"></a><h2 class="section">Handling <span class="inlinecode"><span class="id" title="var">Empty</span></span>, <span class="inlinecode"><span class="id" title="var">Subset</span></span>, and <span class="inlinecode"><span class="id" title="var">Equal</span></span></h2>
+<a id="lab750"></a><h2 class="section">Handling <span class="inlinecode"><span class="id" title="var">Empty</span></span>, <span class="inlinecode"><span class="id" title="var">Subset</span></span>, and <span class="inlinecode"><span class="id" title="var">Equal</span></span></h2>
 
         This tactic instantiates universally quantified
         hypotheses (which arise from the unfolding of <span class="inlinecode"><span class="id" title="var">Empty</span></span>,
@@ -908,7 +908,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab449"></a><h2 class="section">The Core <span class="inlinecode"><span class="id" title="var">fsetdec</span></span> Auxiliary Tactics</h2>
+<a id="lab751"></a><h2 class="section">The Core <span class="inlinecode"><span class="id" title="var">fsetdec</span></span> Auxiliary Tactics</h2>
 
 <div class="paragraph"> </div>
 
@@ -950,7 +950,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab450"></a><h1 class="section">The <span class="inlinecode"><span class="id" title="var">fsetdec</span></span> Tactic</h1>
+<a id="lab752"></a><h1 class="section">The <span class="inlinecode"><span class="id" title="var">fsetdec</span></span> Tactic</h1>
 
       Here is the top-level tactic (the only one intended for
       clients of this library).  It's specification is given at
@@ -1064,7 +1064,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab451"></a><h1 class="section">Examples</h1>
+<a id="lab753"></a><h1 class="section">Examples</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.FSets.FSetEqProperties.html b/master/stdlib/Stdlib.FSets.FSetEqProperties.html
index b367cca513..08d5a59c1e 100644
--- a/master/stdlib/Stdlib.FSets.FSetEqProperties.html
+++ b/master/stdlib/Stdlib.FSets.FSetEqProperties.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetEqProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab414"></a><h1 class="section">Finite sets library</h1>
+<a id="lab754"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.FSets.FSetFacts.html b/master/stdlib/Stdlib.FSets.FSetFacts.html
index 1afbf6f807..9166db2cb1 100644
--- a/master/stdlib/Stdlib.FSets.FSetFacts.html
+++ b/master/stdlib/Stdlib.FSets.FSetFacts.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab484"></a><h1 class="section">Finite sets library</h1>
+<a id="lab866"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
@@ -84,7 +84,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab485"></a><h1 class="section">Specifications written using equivalences</h1>
+<a id="lab867"></a><h1 class="section">Specifications written using equivalences</h1>
 
 </div>
 <div class="code">
@@ -178,7 +178,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab486"></a><h1 class="section">Specifications written using boolean predicates</h1>
+<a id="lab868"></a><h1 class="section">Specifications written using boolean predicates</h1>
 
 </div>
 <div class="code">
@@ -242,7 +242,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab487"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">E.eq</span></span> and <span class="inlinecode"><span class="id" title="var">Equal</span></span> are setoid equalities</h1>
+<a id="lab869"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">E.eq</span></span> and <span class="inlinecode"><span class="id" title="var">Equal</span></span> are setoid equalities</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.FSets.FSetInterface.html b/master/stdlib/Stdlib.FSets.FSetInterface.html
index 71ac78bed4..f28b845a05 100644
--- a/master/stdlib/Stdlib.FSets.FSetInterface.html
+++ b/master/stdlib/Stdlib.FSets.FSetInterface.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab415"></a><h1 class="section">Finite set library</h1>
+<a id="lab891"></a><h1 class="section">Finite set library</h1>
 
 <div class="paragraph"> </div>
 
@@ -104,7 +104,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab416"></a><h1 class="section">Non-dependent signatures</h1>
+<a id="lab892"></a><h1 class="section">Non-dependent signatures</h1>
 
 
 <div class="paragraph"> </div>
@@ -113,7 +113,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetInterface</h1>
     programs together with axioms 
 <div class="paragraph"> </div>
 
-<a id="lab417"></a><h2 class="section">Functorial signature for weak sets</h2>
+<a id="lab893"></a><h2 class="section">Functorial signature for weak sets</h2>
 
 
 <div class="paragraph"> </div>
@@ -618,7 +618,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab418"></a><h2 class="section">Static signature for weak sets</h2>
+<a id="lab894"></a><h2 class="section">Static signature for weak sets</h2>
 
 
 <div class="paragraph"> </div>
@@ -638,7 +638,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab419"></a><h2 class="section">Functorial signature for sets on ordered elements</h2>
+<a id="lab895"></a><h2 class="section">Functorial signature for sets on ordered elements</h2>
 
 
 <div class="paragraph"> </div>
@@ -765,7 +765,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab420"></a><h2 class="section">Static signature for sets on ordered elements</h2>
+<a id="lab896"></a><h2 class="section">Static signature for sets on ordered elements</h2>
 
 
 <div class="paragraph"> </div>
@@ -785,7 +785,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab421"></a><h2 class="section">Some subtyping tests</h2>
+<a id="lab897"></a><h2 class="section">Some subtyping tests</h2>
 
 <pre>
 WSfun ---&gt; WS
@@ -802,7 +802,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetInterface</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab422"></a><h1 class="section">Dependent signature</h1>
+<a id="lab898"></a><h1 class="section">Dependent signature</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.FSets.FSetList.html b/master/stdlib/Stdlib.FSets.FSetList.html
index c57f2be5f1..1ed974abb6 100644
--- a/master/stdlib/Stdlib.FSets.FSetList.html
+++ b/master/stdlib/Stdlib.FSets.FSetList.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetList</h1>
 </div>
 
 <div class="doc">
-<a id="lab549"></a><h1 class="section">Finite sets library</h1>
+<a id="lab899"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.FSets.FSetProperties.html b/master/stdlib/Stdlib.FSets.FSetProperties.html
index a33312b196..e47e3e1cb4 100644
--- a/master/stdlib/Stdlib.FSets.FSetProperties.html
+++ b/master/stdlib/Stdlib.FSets.FSetProperties.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab388"></a><h1 class="section">Finite sets library</h1>
+<a id="lab760"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
@@ -340,7 +340,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab389"></a><h1 class="section">Properties of elements</h1>
+<a id="lab761"></a><h1 class="section">Properties of elements</h1>
 
 </div>
 <div class="code">
@@ -355,7 +355,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab390"></a><h1 class="section">Conversions between lists and sets</h1>
+<a id="lab762"></a><h1 class="section">Conversions between lists and sets</h1>
 
 </div>
 <div class="code">
@@ -379,7 +379,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab391"></a><h1 class="section">Fold</h1>
+<a id="lab763"></a><h1 class="section">Fold</h1>
 
 </div>
 <div class="code">
@@ -407,7 +407,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab392"></a><h2 class="section">Induction principles for fold (contributed by S. Lescuyer)</h2>
+<a id="lab764"></a><h2 class="section">Induction principles for fold (contributed by S. Lescuyer)</h2>
 
 <div class="paragraph"> </div>
 
@@ -513,7 +513,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab393"></a><h2 class="section">Alternative (weaker) specifications for <span class="inlinecode"><span class="id" title="tactic">fold</span></span></h2>
+<a id="lab765"></a><h2 class="section">Alternative (weaker) specifications for <span class="inlinecode"><span class="id" title="tactic">fold</span></span></h2>
 
 <div class="paragraph"> </div>
 
@@ -585,7 +585,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab394"></a><h2 class="section">Fold is a morphism</h2>
+<a id="lab766"></a><h2 class="section">Fold is a morphism</h2>
 
 </div>
 <div class="code">
@@ -602,7 +602,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab395"></a><h2 class="section">Fold and other set operators</h2>
+<a id="lab767"></a><h2 class="section">Fold and other set operators</h2>
 
 </div>
 <div class="code">
@@ -654,11 +654,11 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab396"></a><h1 class="section">Cardinal</h1>
+<a id="lab768"></a><h1 class="section">Cardinal</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab397"></a><h2 class="section">Characterization of cardinal in terms of fold</h2>
+<a id="lab769"></a><h2 class="section">Characterization of cardinal in terms of fold</h2>
 
 </div>
 <div class="code">
@@ -670,7 +670,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab398"></a><h2 class="section">Old specifications for <span class="inlinecode"><span class="id" title="var">cardinal</span></span>.</h2>
+<a id="lab770"></a><h2 class="section">Old specifications for <span class="inlinecode"><span class="id" title="var">cardinal</span></span>.</h2>
 
 </div>
 <div class="code">
@@ -693,7 +693,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab399"></a><h2 class="section">Cardinal and (non-)emptiness</h2>
+<a id="lab771"></a><h2 class="section">Cardinal and (non-)emptiness</h2>
 
 </div>
 <div class="code">
@@ -718,7 +718,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab400"></a><h2 class="section">Cardinal is a morphism</h2>
+<a id="lab772"></a><h2 class="section">Cardinal is a morphism</h2>
 
 </div>
 <div class="code">
@@ -737,7 +737,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab401"></a><h2 class="section">Cardinal and set operators</h2>
+<a id="lab773"></a><h2 class="section">Cardinal and set operators</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.FSets.FSetToFiniteSet.html b/master/stdlib/Stdlib.FSets.FSetToFiniteSet.html
index 91d931c513..d167ef05b1 100644
--- a/master/stdlib/Stdlib.FSets.FSetToFiniteSet.html
+++ b/master/stdlib/Stdlib.FSets.FSetToFiniteSet.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetToFiniteSet</h1>
 </div>
 
 <div class="doc">
-<a id="lab470"></a><h1 class="section">Finite sets library : conversion to old <span class="inlinecode"><span class="id" title="var">Finite_sets</span></span></h1>
+<a id="lab758"></a><h1 class="section">Finite sets library : conversion to old <span class="inlinecode"><span class="id" title="var">Finite_sets</span></span></h1>
 
 </div>
 <div class="code">
@@ -61,7 +61,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetToFiniteSet</h1>
 </div>
 
 <div class="doc">
-<a id="lab471"></a><h1 class="section">Going from <span class="inlinecode"><span class="id" title="var">FSets</span></span> with usual Leibniz equality</h1>
+<a id="lab759"></a><h1 class="section">Going from <span class="inlinecode"><span class="id" title="var">FSets</span></span> with usual Leibniz equality</h1>
 
     to the good old <span class="inlinecode"><span class="id" title="var">Ensembles</span></span> and <span class="inlinecode"><span class="id" title="var">Finite_sets</span></span> theory. 
 </div>
diff --git a/master/stdlib/Stdlib.FSets.FSetWeakList.html b/master/stdlib/Stdlib.FSets.FSetWeakList.html
index b6983f8e10..304982c970 100644
--- a/master/stdlib/Stdlib.FSets.FSetWeakList.html
+++ b/master/stdlib/Stdlib.FSets.FSetWeakList.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.FSets.FSetWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab413"></a><h1 class="section">Finite sets library</h1>
+<a id="lab755"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Floats.FloatLemmas.html b/master/stdlib/Stdlib.Floats.FloatLemmas.html
index 69598af461..796cfa7cc5 100644
--- a/master/stdlib/Stdlib.Floats.FloatLemmas.html
+++ b/master/stdlib/Stdlib.Floats.FloatLemmas.html
@@ -52,7 +52,7 @@ <h1 class="libtitle">Library Stdlib.Floats.FloatLemmas</h1>
 </div>
 
 <div class="doc">
-<a id="lab1124"></a><h1 class="section">Support results involving frexp and ldexp</h1>
+<a id="lab708"></a><h1 class="section">Support results involving frexp and ldexp</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Lists.List.html b/master/stdlib/Stdlib.Lists.List.html
index 4260714bc5..a4611817fd 100644
--- a/master/stdlib/Stdlib.Lists.List.html
+++ b/master/stdlib/Stdlib.Lists.List.html
@@ -56,7 +56,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab553"></a><h1 class="section">Basics: definition of polymorphic lists and some operations</h1>
+<a id="lab658"></a><h1 class="section">Basics: definition of polymorphic lists and some operations</h1>
 
 <div class="paragraph"> </div>
 
@@ -148,7 +148,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab554"></a><h3 class="section">Generic facts</h3>
+<a id="lab659"></a><h3 class="section">Generic facts</h3>
 
 <div class="paragraph"> </div>
 
@@ -183,7 +183,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab555"></a><h3 class="section">Head and tail</h3>
+<a id="lab660"></a><h3 class="section">Head and tail</h3>
 
 </div>
 <div class="code">
@@ -198,7 +198,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab556"></a><h3 class="section">Facts about <span class="inlinecode"><span class="id" title="var">app</span></span></h3>
+<a id="lab661"></a><h3 class="section">Facts about <span class="inlinecode"><span class="id" title="var">app</span></span></h3>
 
 <div class="paragraph"> </div>
 
@@ -316,7 +316,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab557"></a><h3 class="section">Facts about <span class="inlinecode"><span class="id" title="var">In</span></span></h3>
+<a id="lab662"></a><h3 class="section">Facts about <span class="inlinecode"><span class="id" title="var">In</span></span></h3>
 
 <div class="paragraph"> </div>
 
@@ -403,7 +403,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab558"></a><h1 class="section">Operations on the elements of a list</h1>
+<a id="lab663"></a><h1 class="section">Operations on the elements of a list</h1>
 
 </div>
 <div class="code">
@@ -418,7 +418,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab559"></a><h2 class="section">Nth element of a list</h2>
+<a id="lab664"></a><h2 class="section">Nth element of a list</h2>
 
 </div>
 <div class="code">
@@ -614,7 +614,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab560"></a><h2 class="section">Last element of a list</h2>
+<a id="lab665"></a><h2 class="section">Last element of a list</h2>
 
 <div class="paragraph"> </div>
 
@@ -669,7 +669,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab561"></a><h2 class="section">Remove</h2>
+<a id="lab666"></a><h2 class="section">Remove</h2>
 
 </div>
 <div class="code">
@@ -720,7 +720,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab562"></a><h2 class="section">Counting occurrences of an element</h2>
+<a id="lab667"></a><h2 class="section">Counting occurrences of an element</h2>
 
 </div>
 <div class="code">
@@ -784,7 +784,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab563"></a><h1 class="section">Manipulating whole lists</h1>
+<a id="lab668"></a><h1 class="section">Manipulating whole lists</h1>
 
 </div>
 <div class="code">
@@ -799,7 +799,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab564"></a><h2 class="section">Reverse</h2>
+<a id="lab669"></a><h2 class="section">Reverse</h2>
 
 </div>
 <div class="code">
@@ -896,7 +896,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab565"></a><h2 class="section">Concatenation</h2>
+<a id="lab670"></a><h2 class="section">Concatenation</h2>
 
 </div>
 <div class="code">
@@ -925,7 +925,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab566"></a><h2 class="section">Decidable equality on lists</h2>
+<a id="lab671"></a><h2 class="section">Decidable equality on lists</h2>
 
 </div>
 <div class="code">
@@ -946,11 +946,11 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab567"></a><h1 class="section">Applying functions to the elements of a list</h1>
+<a id="lab672"></a><h1 class="section">Applying functions to the elements of a list</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab568"></a><h2 class="section">Map</h2>
+<a id="lab673"></a><h2 class="section">Map</h2>
 
 </div>
 <div class="code">
@@ -1038,7 +1038,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab569"></a><h2 class="section">Flat Map</h2>
+<a id="lab674"></a><h2 class="section">Flat Map</h2>
 
 </div>
 <div class="code">
@@ -1220,7 +1220,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab570"></a><h2 class="section">Boolean operations over lists</h2>
+<a id="lab675"></a><h2 class="section">Boolean operations over lists</h2>
 
 </div>
 <div class="code">
@@ -1387,7 +1387,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab571"></a><h2 class="section">Further filtering facts</h2>
+<a id="lab676"></a><h2 class="section">Further filtering facts</h2>
 
 </div>
 <div class="code">
@@ -1481,7 +1481,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab572"></a><h2 class="section">Operations on lists of pairs or lists of lists</h2>
+<a id="lab677"></a><h2 class="section">Operations on lists of pairs or lists of lists</h2>
 
 </div>
 <div class="code">
@@ -1613,11 +1613,11 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab573"></a><h1 class="section">Miscellaneous operations on lists</h1>
+<a id="lab678"></a><h1 class="section">Miscellaneous operations on lists</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab574"></a><h2 class="section">Length order of lists</h2>
+<a id="lab679"></a><h2 class="section">Length order of lists</h2>
 
 </div>
 <div class="code">
@@ -1661,7 +1661,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab575"></a><h2 class="section">Set inclusion on list</h2>
+<a id="lab680"></a><h2 class="section">Set inclusion on list</h2>
 
 </div>
 <div class="code">
@@ -1751,7 +1751,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab576"></a><h1 class="section">Cutting a list at some position</h1>
+<a id="lab681"></a><h1 class="section">Cutting a list at some position</h1>
 
 </div>
 <div class="code">
@@ -1916,7 +1916,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab577"></a><h2 class="section">Combining pairs of lists of possibly-different lengths</h2>
+<a id="lab682"></a><h2 class="section">Combining pairs of lists of possibly-different lengths</h2>
 
 </div>
 <div class="code">
@@ -1948,7 +1948,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab578"></a><h2 class="section">Predicate for List addition/removal (no need for decidability)</h2>
+<a id="lab683"></a><h2 class="section">Predicate for List addition/removal (no need for decidability)</h2>
 
 </div>
 <div class="code">
@@ -1992,7 +1992,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab579"></a><h2 class="section">Lists without redundancy</h2>
+<a id="lab684"></a><h2 class="section">Lists without redundancy</h2>
 
 </div>
 <div class="code">
@@ -2144,7 +2144,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab580"></a><h2 class="section">Sequence of natural numbers</h2>
+<a id="lab685"></a><h2 class="section">Sequence of natural numbers</h2>
 
 </div>
 <div class="code">
@@ -2196,7 +2196,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab581"></a><h2 class="section">List comparison</h2>
+<a id="lab686"></a><h2 class="section">List comparison</h2>
 
 </div>
 <div class="code">
@@ -2333,7 +2333,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab582"></a><h1 class="section">Existential and universal predicates over lists</h1>
+<a id="lab687"></a><h1 class="section">Existential and universal predicates over lists</h1>
 
 </div>
 <div class="code">
@@ -2866,7 +2866,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab583"></a><h1 class="section">Inversion of predicates over lists based on head symbol</h1>
+<a id="lab688"></a><h1 class="section">Inversion of predicates over lists based on head symbol</h1>
 
 </div>
 <div class="code">
@@ -2894,7 +2894,7 @@ <h1 class="libtitle">Library Stdlib.Lists.List</h1>
 </div>
 
 <div class="doc">
-<a id="lab584"></a><h1 class="section">Exporting hints and tactics</h1>
+<a id="lab689"></a><h1 class="section">Exporting hints and tactics</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Lists.SetoidList.html b/master/stdlib/Stdlib.Lists.SetoidList.html
index 52831c0185..1ee29d6a73 100644
--- a/master/stdlib/Stdlib.Lists.SetoidList.html
+++ b/master/stdlib/Stdlib.Lists.SetoidList.html
@@ -52,7 +52,7 @@ <h1 class="libtitle">Library Stdlib.Lists.SetoidList</h1>
 </div>
 
 <div class="doc">
-<a id="lab585"></a><h1 class="section">Logical relations over lists with respect to a setoid equality</h1>
+<a id="lab656"></a><h1 class="section">Logical relations over lists with respect to a setoid equality</h1>
 
       or ordering. 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Lists.StreamMemo.html b/master/stdlib/Stdlib.Lists.StreamMemo.html
index 6c10c97e5f..cb3ff9bcb7 100644
--- a/master/stdlib/Stdlib.Lists.StreamMemo.html
+++ b/master/stdlib/Stdlib.Lists.StreamMemo.html
@@ -52,7 +52,7 @@ <h1 class="libtitle">Library Stdlib.Lists.StreamMemo</h1>
 </div>
 
 <div class="doc">
-<a id="lab552"></a><h1 class="section">Memoization</h1>
+<a id="lab657"></a><h1 class="section">Memoization</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Logic.ChoiceFacts.html b/master/stdlib/Stdlib.Logic.ChoiceFacts.html
index dc6693b11c..64449922fa 100644
--- a/master/stdlib/Stdlib.Logic.ChoiceFacts.html
+++ b/master/stdlib/Stdlib.Logic.ChoiceFacts.html
@@ -49,7 +49,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 
 <div class="doc">
 Some facts and definitions concerning choice and description in
-       intuitionistic logic. <a id="lab738"></a><h1 class="section">References:</h1>
+       intuitionistic logic. <a id="lab393"></a><h1 class="section">References:</h1>
 
 <div class="paragraph"> </div>
 
@@ -88,7 +88,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab739"></a><h1 class="section">Definitions</h1>
+<a id="lab394"></a><h1 class="section">Definitions</h1>
 
 <div class="paragraph"> </div>
 
@@ -115,7 +115,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab740"></a><h2 class="section">Constructive choice and description</h2>
+<a id="lab395"></a><h2 class="section">Constructive choice and description</h2>
 
 <div class="paragraph"> </div>
 
@@ -345,7 +345,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab741"></a><h2 class="section">Weakly classical choice and description</h2>
+<a id="lab396"></a><h2 class="section">Weakly classical choice and description</h2>
 
 <div class="paragraph"> </div>
 
@@ -624,7 +624,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab742"></a><h1 class="section">Table of contents</h1>
+<a id="lab397"></a><h1 class="section">Table of contents</h1>
 
 </div>
 <div class="code">
@@ -681,7 +681,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
  
 <div class="paragraph"> </div>
 
-<a id="lab743"></a><h1 class="section">AC_rel + AC! = AC_fun</h1>
+<a id="lab398"></a><h1 class="section">AC_rel + AC! = AC_fun</h1>
 
 
 <div class="paragraph"> </div>
@@ -721,7 +721,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab744"></a><h1 class="section">Connection between the guarded, non guarded and omniscient choices</h1>
+<a id="lab399"></a><h1 class="section">Connection between the guarded, non guarded and omniscient choices</h1>
 
 <div class="paragraph"> </div>
 
@@ -732,7 +732,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
    irrelevance) 
 <div class="paragraph"> </div>
 
-<a id="lab745"></a><h2 class="section">AC_rel + PI -&gt; GAC_rel and AC_rel + IGP -&gt; GAC_rel and GAC_rel = OAC_rel</h2>
+<a id="lab400"></a><h2 class="section">AC_rel + PI -&gt; GAC_rel and AC_rel + IGP -&gt; GAC_rel and GAC_rel = OAC_rel</h2>
 
 </div>
 <div class="code">
@@ -770,7 +770,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab746"></a><h2 class="section">AC_fun + IGP = GAC_fun = OAC_fun = AC_fun + Drinker</h2>
+<a id="lab401"></a><h2 class="section">AC_fun + IGP = GAC_fun = OAC_fun = AC_fun + Drinker</h2>
 
 <div class="paragraph"> </div>
 
@@ -845,7 +845,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab747"></a><h2 class="section">D_iota -&gt; ID_iota  and  D_epsilon &lt;-&gt; ID_epsilon + Drinker</h2>
+<a id="lab402"></a><h2 class="section">D_iota -&gt; ID_iota  and  D_epsilon &lt;-&gt; ID_epsilon + Drinker</h2>
 
 <div class="paragraph"> </div>
 
@@ -889,7 +889,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab748"></a><h1 class="section">Derivability of choice for decidable relations with well-ordered codomain</h1>
+<a id="lab403"></a><h1 class="section">Derivability of choice for decidable relations with well-ordered codomain</h1>
 
 <div class="paragraph"> </div>
 
@@ -922,11 +922,11 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab749"></a><h1 class="section">AC_fun = AC_fun_dep = AC_trunc</h1>
+<a id="lab404"></a><h1 class="section">AC_fun = AC_fun_dep = AC_trunc</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab750"></a><h2 class="section">Choice on dependent and non dependent function types are equivalent</h2>
+<a id="lab405"></a><h2 class="section">Choice on dependent and non dependent function types are equivalent</h2>
 
 <div class="paragraph"> </div>
 
@@ -965,7 +965,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab751"></a><h2 class="section">Functional choice and truncation choice are equivalent</h2>
+<a id="lab406"></a><h2 class="section">Functional choice and truncation choice are equivalent</h2>
 
 </div>
 <div class="code">
@@ -982,7 +982,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab752"></a><h2 class="section">Reification of dependent and non dependent functional relation  are equivalent</h2>
+<a id="lab407"></a><h2 class="section">Reification of dependent and non dependent functional relation  are equivalent</h2>
 
 <div class="paragraph"> </div>
 
@@ -1017,11 +1017,11 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab753"></a><h1 class="section">Non contradiction of constructive descriptions wrt functional axioms of choice</h1>
+<a id="lab408"></a><h1 class="section">Non contradiction of constructive descriptions wrt functional axioms of choice</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab754"></a><h2 class="section">Non contradiction of indefinite description</h2>
+<a id="lab409"></a><h2 class="section">Non contradiction of indefinite description</h2>
 
 </div>
 <div class="code">
@@ -1039,7 +1039,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab755"></a><h2 class="section">Non contradiction of definite description</h2>
+<a id="lab410"></a><h2 class="section">Non contradiction of definite description</h2>
 
 </div>
 <div class="code">
@@ -1083,7 +1083,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab756"></a><h1 class="section">Excluded-middle + definite description =&gt; computational excluded-middle</h1>
+<a id="lab411"></a><h1 class="section">Excluded-middle + definite description =&gt; computational excluded-middle</h1>
 
 <div class="paragraph"> </div>
 
@@ -1127,7 +1127,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab757"></a><h1 class="section">Choice =&gt; Dependent choice =&gt; Countable choice</h1>
+<a id="lab412"></a><h1 class="section">Choice =&gt; Dependent choice =&gt; Countable choice</h1>
 
 </div>
 <div class="code">
@@ -1147,7 +1147,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab758"></a><h1 class="section">About the axiom of choice over setoids</h1>
+<a id="lab413"></a><h1 class="section">About the axiom of choice over setoids</h1>
 
 </div>
 <div class="code">
@@ -1159,7 +1159,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab759"></a><h2 class="section">Consequences of the choice of a representative in an equivalence class</h2>
+<a id="lab414"></a><h2 class="section">Consequences of the choice of a representative in an equivalence class</h2>
 
 </div>
 <div class="code">
@@ -1180,7 +1180,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab760"></a><h3 class="section">This is a variant of Diaconescu and Goodman-Myhill theorems</h3>
+<a id="lab415"></a><h3 class="section">This is a variant of Diaconescu and Goodman-Myhill theorems</h3>
 
 </div>
 <div class="code">
@@ -1197,7 +1197,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab761"></a><h2 class="section">AC_fun_setoid = AC_fun_setoid_gen = AC_fun_setoid_simple</h2>
+<a id="lab416"></a><h2 class="section">AC_fun_setoid = AC_fun_setoid_gen = AC_fun_setoid_simple</h2>
 
 </div>
 <div class="code">
@@ -1230,7 +1230,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab762"></a><h2 class="section">AC_fun_setoid = AC! + AC_fun_repr</h2>
+<a id="lab417"></a><h2 class="section">AC_fun_setoid = AC! + AC_fun_repr</h2>
 
 </div>
 <div class="code">
@@ -1266,7 +1266,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 functional forms, SetoidFunctionalChoice seems strictly stronger 
 <div class="paragraph"> </div>
 
-<a id="lab763"></a><h1 class="section">AC_fun_setoid = AC_fun + Ext_fun_repr + EM</h1>
+<a id="lab418"></a><h1 class="section">AC_fun_setoid = AC_fun + Ext_fun_repr + EM</h1>
 
 </div>
 <div class="code">
@@ -1278,7 +1278,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab764"></a><h2 class="section">This is the main theorem in <span class="inlinecode">[<span class="id" title="var">Carlström04</span>]</span></h2>
+<a id="lab419"></a><h2 class="section">This is the main theorem in <span class="inlinecode">[<span class="id" title="var">Carlström04</span>]</span></h2>
 
 <div class="paragraph"> </div>
 
@@ -1302,7 +1302,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab765"></a><h2 class="section">AC_fun_setoid = AC_fun + Ext_pred_repr + PI</h2>
+<a id="lab420"></a><h2 class="section">AC_fun_setoid = AC_fun + Ext_pred_repr + PI</h2>
 
 <div class="paragraph"> </div>
 
@@ -1326,7 +1326,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ChoiceFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab766"></a><h1 class="section">Compatibility notations</h1>
+<a id="lab421"></a><h1 class="section">Compatibility notations</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html b/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html
index 7c3c0bc015..466b7e2a47 100644
--- a/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html
+++ b/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html
@@ -132,7 +132,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalEpsilon</h1>
 </div>
 
 <div class="doc">
-<a id="lab719"></a><h3 class="section">Weaker lemmas (compatibility lemmas)</h3>
+<a id="lab429"></a><h3 class="section">Weaker lemmas (compatibility lemmas)</h3>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Logic.ClassicalFacts.html b/master/stdlib/Stdlib.Logic.ClassicalFacts.html
index c1ca7fd711..cf71f9bdd0 100644
--- a/master/stdlib/Stdlib.Logic.ClassicalFacts.html
+++ b/master/stdlib/Stdlib.Logic.ClassicalFacts.html
@@ -117,7 +117,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab723"></a><h1 class="section">Prop degeneracy = excluded-middle + prop extensionality</h1>
+<a id="lab329"></a><h1 class="section">Prop degeneracy = excluded-middle + prop extensionality</h1>
 
 <div class="paragraph"> </div>
 
@@ -193,11 +193,11 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab724"></a><h1 class="section">Classical logic and proof-irrelevance</h1>
+<a id="lab330"></a><h1 class="section">Classical logic and proof-irrelevance</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab725"></a><h2 class="section">CC |- prop ext + A inhabited -&gt; (A = A-&gt;A) -&gt; A has fixpoint</h2>
+<a id="lab331"></a><h2 class="section">CC |- prop ext + A inhabited -&gt; (A = A-&gt;A) -&gt; A has fixpoint</h2>
 
 <div class="paragraph"> </div>
 
@@ -250,7 +250,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab726"></a><h2 class="section">CC |- prop_ext /\ dep elim on bool -&gt; proof-irrelevance</h2>
+<a id="lab332"></a><h2 class="section">CC |- prop_ext /\ dep elim on bool -&gt; proof-irrelevance</h2>
 
 <div class="paragraph"> </div>
 
@@ -347,7 +347,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab727"></a><h2 class="section">CIC |- prop. ext. -&gt; proof-irrelevance</h2>
+<a id="lab333"></a><h2 class="section">CIC |- prop. ext. -&gt; proof-irrelevance</h2>
 
 <div class="paragraph"> </div>
 
@@ -401,7 +401,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab728"></a><h2 class="section">CC |- excluded-middle + dep elim on bool -&gt; proof-irrelevance</h2>
+<a id="lab334"></a><h2 class="section">CC |- excluded-middle + dep elim on bool -&gt; proof-irrelevance</h2>
 
 <div class="paragraph"> </div>
 
@@ -573,7 +573,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab729"></a><h2 class="section">CIC |- excluded-middle -&gt; proof-irrelevance</h2>
+<a id="lab335"></a><h2 class="section">CIC |- excluded-middle -&gt; proof-irrelevance</h2>
 
 <div class="paragraph"> </div>
 
@@ -638,7 +638,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab730"></a><h1 class="section">Weak classical axioms</h1>
+<a id="lab336"></a><h1 class="section">Weak classical axioms</h1>
 
 <div class="paragraph"> </div>
 
@@ -660,7 +660,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab731"></a><h2 class="section">Weak excluded-middle</h2>
+<a id="lab337"></a><h2 class="section">Weak excluded-middle</h2>
 
 <div class="paragraph"> </div>
 
@@ -715,7 +715,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab732"></a><h2 class="section">Gödel-Dummett axiom</h2>
+<a id="lab338"></a><h2 class="section">Gödel-Dummett axiom</h2>
 
 <div class="paragraph"> </div>
 
@@ -786,7 +786,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab733"></a><h2 class="section">Independence of general premises and drinker's paradox</h2>
+<a id="lab339"></a><h2 class="section">Independence of general premises and drinker's paradox</h2>
 
 <div class="paragraph"> </div>
 
@@ -962,11 +962,11 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab734"></a><h1 class="section">Axioms equivalent to classical logic</h1>
+<a id="lab340"></a><h1 class="section">Axioms equivalent to classical logic</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab735"></a><h2 class="section">Principle of unrestricted minimization</h2>
+<a id="lab341"></a><h2 class="section">Principle of unrestricted minimization</h2>
 
 </div>
 <div class="code">
@@ -1039,7 +1039,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ClassicalFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab736"></a><h2 class="section">Choice of representatives in a partition of bool</h2>
+<a id="lab342"></a><h2 class="section">Choice of representatives in a partition of bool</h2>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Logic.Diaconescu.html b/master/stdlib/Stdlib.Logic.Diaconescu.html
index 431833d4d4..c88f273a79 100644
--- a/master/stdlib/Stdlib.Logic.Diaconescu.html
+++ b/master/stdlib/Stdlib.Logic.Diaconescu.html
@@ -107,7 +107,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Diaconescu</h1>
 </div>
 
 <div class="doc">
-<a id="lab771"></a><h1 class="section">Pred. Ext. + Rel. Axiom of Choice -&gt; Excluded-Middle</h1>
+<a id="lab422"></a><h1 class="section">Pred. Ext. + Rel. Axiom of Choice -&gt; Excluded-Middle</h1>
 
 </div>
 <div class="code">
@@ -203,7 +203,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Diaconescu</h1>
 </div>
 
 <div class="doc">
-<a id="lab772"></a><h1 class="section">Proof-Irrel. + Rel. Axiom of Choice -&gt; Excl.-Middle for Equality</h1>
+<a id="lab423"></a><h1 class="section">Proof-Irrel. + Rel. Axiom of Choice -&gt; Excl.-Middle for Equality</h1>
 
 <div class="paragraph"> </div>
 
@@ -310,7 +310,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Diaconescu</h1>
 </div>
 
 <div class="doc">
-<a id="lab773"></a><h1 class="section">Extensional Hilbert's epsilon description operator -&gt; Excluded-Middle</h1>
+<a id="lab424"></a><h1 class="section">Extensional Hilbert's epsilon description operator -&gt; Excluded-Middle</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Logic.EqdepFacts.html b/master/stdlib/Stdlib.Logic.EqdepFacts.html
index 7b5208201b..1036d2b7a3 100644
--- a/master/stdlib/Stdlib.Logic.EqdepFacts.html
+++ b/master/stdlib/Stdlib.Logic.EqdepFacts.html
@@ -115,7 +115,7 @@ <h1 class="libtitle">Library Stdlib.Logic.EqdepFacts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab720"></a><h1 class="section">Definition of dependent equality and equivalence with equality of dependent pairs</h1>
+<a id="lab343"></a><h1 class="section">Definition of dependent equality and equivalence with equality of dependent pairs</h1>
 
 </div>
 <div class="code">
@@ -283,7 +283,7 @@ <h1 class="libtitle">Library Stdlib.Logic.EqdepFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab721"></a><h1 class="section">Eq_rect_eq &lt;-&gt; Eq_dep_eq &lt;-&gt; UIP &lt;-&gt; UIP_refl &lt;-&gt; K</h1>
+<a id="lab344"></a><h1 class="section">Eq_rect_eq &lt;-&gt; Eq_dep_eq &lt;-&gt; UIP &lt;-&gt; UIP_refl &lt;-&gt; K</h1>
 
 </div>
 <div class="code">
@@ -509,7 +509,7 @@ <h1 class="libtitle">Library Stdlib.Logic.EqdepFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab722"></a><h1 class="section">Definition of the functor that builds properties of dependent equalities assuming axiom eq_rect_eq</h1>
+<a id="lab345"></a><h1 class="section">Definition of the functor that builds properties of dependent equalities assuming axiom eq_rect_eq</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Logic.Eqdep_dec.html b/master/stdlib/Stdlib.Logic.Eqdep_dec.html
index cb10bbc770..0e1a622aad 100644
--- a/master/stdlib/Stdlib.Logic.Eqdep_dec.html
+++ b/master/stdlib/Stdlib.Logic.Eqdep_dec.html
@@ -87,7 +87,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Eqdep_dec</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab775"></a><h1 class="section">Streicher's K and injectivity of dependent pair hold on decidable types</h1>
+<a id="lab390"></a><h1 class="section">Streicher's K and injectivity of dependent pair hold on decidable types</h1>
 
 </div>
 <div class="code">
@@ -245,7 +245,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Eqdep_dec</h1>
 </div>
 
 <div class="doc">
-<a id="lab776"></a><h2 class="section">Definition of the functor that builds properties of dependent equalities on decidable sets in Type</h2>
+<a id="lab391"></a><h2 class="section">Definition of the functor that builds properties of dependent equalities on decidable sets in Type</h2>
 
 <div class="paragraph"> </div>
 
@@ -369,7 +369,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Eqdep_dec</h1>
 </div>
 
 <div class="doc">
-<a id="lab777"></a><h2 class="section">Definition of the functor that builds properties of dependent equalities on decidable sets in Set</h2>
+<a id="lab392"></a><h2 class="section">Definition of the functor that builds properties of dependent equalities on decidable sets in Set</h2>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html b/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html
index e695257fe7..8b7cd6cf9e 100644
--- a/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html
+++ b/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html
@@ -104,7 +104,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ExtensionalityFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab767"></a><h1 class="section">Definitions</h1>
+<a id="lab425"></a><h1 class="section">Definitions</h1>
 
 <div class="paragraph"> </div>
 
@@ -196,7 +196,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ExtensionalityFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab768"></a><h1 class="section">Functional extensionality &lt;-&gt; Equality of projections from diagonal</h1>
+<a id="lab426"></a><h1 class="section">Functional extensionality &lt;-&gt; Equality of projections from diagonal</h1>
 
 </div>
 <div class="code">
@@ -208,7 +208,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ExtensionalityFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab769"></a><h1 class="section">Functional extensionality &lt;-&gt; Unicity of bijection inverse</h1>
+<a id="lab427"></a><h1 class="section">Functional extensionality &lt;-&gt; Unicity of bijection inverse</h1>
 
 </div>
 <div class="code">
@@ -226,7 +226,7 @@ <h1 class="libtitle">Library Stdlib.Logic.ExtensionalityFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab770"></a><h1 class="section">Functional extensionality &lt;-&gt; Bijectivity of bijective composition</h1>
+<a id="lab428"></a><h1 class="section">Functional extensionality &lt;-&gt; Bijectivity of bijective composition</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Logic.FinFun.html b/master/stdlib/Stdlib.Logic.FinFun.html
index c9af6c0229..1ae377f9e0 100644
--- a/master/stdlib/Stdlib.Logic.FinFun.html
+++ b/master/stdlib/Stdlib.Logic.FinFun.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Logic.FinFun</h1>
 </div>
 
 <div class="doc">
-<a id="lab774"></a><h1 class="section">Functions on finite domains</h1>
+<a id="lab384"></a><h1 class="section">Functions on finite domains</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Logic.Hurkens.html b/master/stdlib/Stdlib.Logic.Hurkens.html
index c934589b8c..1e267df946 100644
--- a/master/stdlib/Stdlib.Logic.Hurkens.html
+++ b/master/stdlib/Stdlib.Logic.Hurkens.html
@@ -175,7 +175,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab778"></a><h1 class="section">A modular proof of Hurkens's paradox.</h1>
+<a id="lab346"></a><h1 class="section">A modular proof of Hurkens's paradox.</h1>
 
 <div class="paragraph"> </div>
 
@@ -202,7 +202,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab779"></a><h2 class="section">Axiomatisation of impredicative universes in a Martin-Löf style</h2>
+<a id="lab347"></a><h2 class="section">Axiomatisation of impredicative universes in a Martin-Löf style</h2>
 
 <div class="paragraph"> </div>
 
@@ -213,7 +213,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
     actual system U-. 
 <div class="paragraph"> </div>
 
-<a id="lab780"></a><h3 class="section">Large universe</h3>
+<a id="lab348"></a><h3 class="section">Large universe</h3>
 
 </div>
 <div class="code">
@@ -222,7 +222,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab781"></a><h4 class="section">Closure by small product</h4>
+<a id="lab349"></a><h4 class="section">Closure by small product</h4>
 
 </div>
 <div class="code">
@@ -238,7 +238,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab782"></a><h4 class="section">Closure by large products</h4>
+<a id="lab350"></a><h4 class="section">Closure by large products</h4>
  <span class="inlinecode"><span class="id" title="var">U1</span></span> only needs to quantify over itself. 
 </div>
 <div class="code">
@@ -255,7 +255,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab783"></a><h3 class="section">Small universe</h3>
+<a id="lab351"></a><h3 class="section">Small universe</h3>
  The small universe is an element of the large one. 
 </div>
 <div class="code">
@@ -265,7 +265,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab784"></a><h4 class="section">Closure by small product</h4>
+<a id="lab352"></a><h4 class="section">Closure by small product</h4>
  <span class="inlinecode"><span class="id" title="var">U0</span></span> does not need reduction rules 
 </div>
 <div class="code">
@@ -279,7 +279,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab785"></a><h4 class="section">Closure by large products</h4>
+<a id="lab353"></a><h4 class="section">Closure by large products</h4>
 
 </div>
 <div class="code">
@@ -294,7 +294,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab786"></a><h2 class="section">Automating the rewrite rules of our encoding.</h2>
+<a id="lab354"></a><h2 class="section">Automating the rewrite rules of our encoding.</h2>
 
 </div>
 <div class="code">
@@ -312,7 +312,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab787"></a><h2 class="section">Hurkens's paradox.</h2>
+<a id="lab355"></a><h2 class="section">Hurkens's paradox.</h2>
 
 <div class="paragraph"> </div>
 
@@ -325,7 +325,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab788"></a><h3 class="section">Preliminary definitions</h3>
+<a id="lab356"></a><h3 class="section">Preliminary definitions</h3>
 
 </div>
 <div class="code">
@@ -354,7 +354,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab789"></a><h3 class="section">Proof</h3>
+<a id="lab357"></a><h3 class="section">Proof</h3>
 
 </div>
 <div class="code">
@@ -439,7 +439,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab790"></a><h1 class="section">Impredicative universes are not retracts.</h1>
+<a id="lab358"></a><h1 class="section">Impredicative universes are not retracts.</h1>
 
 <div class="paragraph"> </div>
 
@@ -466,7 +466,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab791"></a><h3 class="section"><span class="inlinecode"><span class="id" title="var">U1</span></span> is impredicative</h3>
+<a id="lab359"></a><h3 class="section"><span class="inlinecode"><span class="id" title="var">U1</span></span> is impredicative</h3>
 
 </div>
 <div class="code">
@@ -493,7 +493,7 @@ <h1 class="libtitle">Library Stdlib.Logic.Hurkens</h1>
 </div>
 
 <div class="doc">
-<a id="lab792"></a><h3 class="section"><span class="inlinecode"><span class="id" title="var">U0</span></span> is a retract of <span class="inlinecode"><span class="id" title="var">U1</span></span></h3>
+<a id="lab360"></a><h3 class="section"><span class="inlinecode"><span class="id" title="var">U0</span></span> is a retract of <span class="inlinecode"><span class="id" title="var">U1</span></span></h3>
 
 </div>
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index ceb9ef10a8..ba666ee9fa 100644
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 </div>
 <div class="code">
@@ -1086,7 +1086,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetAVL</h1>
 </div>
 
 <div class="doc">
-<a id="lab173"></a><h1 class="section">Partition</h1>
+<a id="lab225"></a><h1 class="section">Partition</h1>
 
 </div>
 <div class="code">
@@ -1123,7 +1123,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetAVL</h1>
 </div>
 
 <div class="doc">
-<a id="lab174"></a><h1 class="section">Encapsulation</h1>
+<a id="lab226"></a><h1 class="section">Encapsulation</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.MSets.MSetDecide.html b/master/stdlib/Stdlib.MSets.MSetDecide.html
index 2763c938d3..5bd3894e69 100644
--- a/master/stdlib/Stdlib.MSets.MSetDecide.html
+++ b/master/stdlib/Stdlib.MSets.MSetDecide.html
@@ -74,7 +74,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab175"></a><h1 class="section">Overview</h1>
+<a id="lab272"></a><h1 class="section">Overview</h1>
 
     This functor defines the tactic <span class="inlinecode"><span class="id" title="var">fsetdec</span></span>, which will
     solve any valid goal of the form
@@ -180,7 +180,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab176"></a><h1 class="section">Facts and Tactics for Propositional Logic</h1>
+<a id="lab273"></a><h1 class="section">Facts and Tactics for Propositional Logic</h1>
 
       These lemmas and tactics are in a module so that they do
       not affect the namespace if you import the enclosing
@@ -195,18 +195,18 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab177"></a><h2 class="section">Lemmas and Tactics About Decidable Propositions</h2>
+<a id="lab274"></a><h2 class="section">Lemmas and Tactics About Decidable Propositions</h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab178"></a><h2 class="section">Propositional Equivalences Involving Negation</h2>
+<a id="lab275"></a><h2 class="section">Propositional Equivalences Involving Negation</h2>
 
         These are all written with the unfolded form of
         negation, since I am not sure if setoid rewriting will
         always perform conversion. 
 <div class="paragraph"> </div>
 
-<a id="lab179"></a><h2 class="section">Tactics for Negations</h2>
+<a id="lab276"></a><h2 class="section">Tactics for Negations</h2>
 
 </div>
 <div class="code">
@@ -457,7 +457,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab180"></a><h1 class="section">Auxiliary Tactics</h1>
+<a id="lab277"></a><h1 class="section">Auxiliary Tactics</h1>
 
       Again, these lemmas and tactics are in a module so that
       they do not affect the namespace if you import the
@@ -470,7 +470,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab181"></a><h2 class="section">Generic Tactics</h2>
+<a id="lab278"></a><h2 class="section">Generic Tactics</h2>
 
         We begin by defining a few generic, useful tactics. 
 <div class="paragraph"> </div>
@@ -587,7 +587,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab182"></a><h2 class="section">Discarding Irrelevant Hypotheses</h2>
+<a id="lab279"></a><h2 class="section">Discarding Irrelevant Hypotheses</h2>
 
         We will want to clear the context of any
         non-MSet-related hypotheses in order to increase the
@@ -667,7 +667,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab183"></a><h2 class="section">Turning Set Operators into Propositional Connectives</h2>
+<a id="lab280"></a><h2 class="section">Turning Set Operators into Propositional Connectives</h2>
 
         The lemmas from <span class="inlinecode"><span class="id" title="var">MSetFacts</span></span> will be used to break down
         set operations into propositional formulas built over
@@ -693,7 +693,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab184"></a><h2 class="section">Decidability of MSet Propositions</h2>
+<a id="lab281"></a><h2 class="section">Decidability of MSet Propositions</h2>
 
 <div class="paragraph"> </div>
 
@@ -728,7 +728,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab185"></a><h2 class="section">Normalizing Propositions About Equality</h2>
+<a id="lab282"></a><h2 class="section">Normalizing Propositions About Equality</h2>
 
         We have to deal with the fact that <span class="inlinecode"><span class="id" title="var">E.eq</span></span> may be
         convertible with Coq's equality.  Thus, we will find the
@@ -811,7 +811,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab186"></a><h2 class="section">Considering Decidability of Base Propositions</h2>
+<a id="lab283"></a><h2 class="section">Considering Decidability of Base Propositions</h2>
 
         This tactic adds assertions about the decidability of
         <span class="inlinecode"><span class="id" title="var">E.eq</span></span> and <span class="inlinecode"><span class="id" title="var">In</span></span> to the context.  This is necessary for
@@ -860,7 +860,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab187"></a><h2 class="section">Handling <span class="inlinecode"><span class="id" title="var">Empty</span></span>, <span class="inlinecode"><span class="id" title="var">Subset</span></span>, and <span class="inlinecode"><span class="id" title="var">Equal</span></span></h2>
+<a id="lab284"></a><h2 class="section">Handling <span class="inlinecode"><span class="id" title="var">Empty</span></span>, <span class="inlinecode"><span class="id" title="var">Subset</span></span>, and <span class="inlinecode"><span class="id" title="var">Equal</span></span></h2>
 
         This tactic instantiates universally quantified
         hypotheses (which arise from the unfolding of <span class="inlinecode"><span class="id" title="var">Empty</span></span>,
@@ -908,7 +908,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab188"></a><h2 class="section">The Core <span class="inlinecode"><span class="id" title="var">fsetdec</span></span> Auxiliary Tactics</h2>
+<a id="lab285"></a><h2 class="section">The Core <span class="inlinecode"><span class="id" title="var">fsetdec</span></span> Auxiliary Tactics</h2>
 
 <div class="paragraph"> </div>
 
@@ -950,7 +950,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab189"></a><h1 class="section">The <span class="inlinecode"><span class="id" title="var">fsetdec</span></span> Tactic</h1>
+<a id="lab286"></a><h1 class="section">The <span class="inlinecode"><span class="id" title="var">fsetdec</span></span> Tactic</h1>
 
       Here is the top-level tactic (the only one intended for
       clients of this library).  It's specification is given at
@@ -1064,7 +1064,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetDecide</h1>
 </div>
 
 <div class="doc">
-<a id="lab190"></a><h1 class="section">Examples</h1>
+<a id="lab287"></a><h1 class="section">Examples</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.MSets.MSetEqProperties.html b/master/stdlib/Stdlib.MSets.MSetEqProperties.html
index f8c3218a1e..7631040b98 100644
--- a/master/stdlib/Stdlib.MSets.MSetEqProperties.html
+++ b/master/stdlib/Stdlib.MSets.MSetEqProperties.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetEqProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab140"></a><h1 class="section">Finite sets library</h1>
+<a id="lab271"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.MSets.MSetFacts.html b/master/stdlib/Stdlib.MSets.MSetFacts.html
index d1d796fc02..931e30112d 100644
--- a/master/stdlib/Stdlib.MSets.MSetFacts.html
+++ b/master/stdlib/Stdlib.MSets.MSetFacts.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab286"></a><h1 class="section">Finite sets library</h1>
+<a id="lab288"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
@@ -87,7 +87,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab287"></a><h1 class="section">Specifications written using implications :</h1>
+<a id="lab289"></a><h1 class="section">Specifications written using implications :</h1>
 
       this used to be the default interface. 
 </div>
@@ -204,7 +204,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab288"></a><h1 class="section">Specifications written using equivalences :</h1>
+<a id="lab290"></a><h1 class="section">Specifications written using equivalences :</h1>
 
       this is now provided by the default interface. 
 </div>
@@ -293,7 +293,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab289"></a><h1 class="section">Specifications written using boolean predicates</h1>
+<a id="lab291"></a><h1 class="section">Specifications written using boolean predicates</h1>
 
 </div>
 <div class="code">
@@ -357,7 +357,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab290"></a><h1 class="section">Declarations of morphisms with respects to <span class="inlinecode"><span class="id" title="var">E.eq</span></span> and <span class="inlinecode"><span class="id" title="var">Equal</span></span></h1>
+<a id="lab292"></a><h1 class="section">Declarations of morphisms with respects to <span class="inlinecode"><span class="id" title="var">E.eq</span></span> and <span class="inlinecode"><span class="id" title="var">Equal</span></span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.MSets.MSetGenTree.html b/master/stdlib/Stdlib.MSets.MSetGenTree.html
index 3fea45ec7a..ef8782388c 100644
--- a/master/stdlib/Stdlib.MSets.MSetGenTree.html
+++ b/master/stdlib/Stdlib.MSets.MSetGenTree.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab240"></a><h1 class="section">MSetGenTree : sets via generic trees</h1>
+<a id="lab166"></a><h1 class="section">MSetGenTree : sets via generic trees</h1>
 
 
 <div class="paragraph"> </div>
@@ -106,7 +106,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab241"></a><h1 class="section">Ops : the pure functions</h1>
+<a id="lab167"></a><h1 class="section">Ops : the pure functions</h1>
 
 </div>
 <div class="code">
@@ -128,7 +128,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab242"></a><h2 class="section">The empty set and emptyness test</h2>
+<a id="lab168"></a><h2 class="section">The empty set and emptyness test</h2>
 
 </div>
 <div class="code">
@@ -147,7 +147,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab243"></a><h2 class="section">Membership test</h2>
+<a id="lab169"></a><h2 class="section">Membership test</h2>
 
 <div class="paragraph"> </div>
 
@@ -172,7 +172,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab244"></a><h2 class="section">Minimal, maximal, arbitrary elements</h2>
+<a id="lab170"></a><h2 class="section">Minimal, maximal, arbitrary elements</h2>
 
 </div>
 <div class="code">
@@ -200,7 +200,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab245"></a><h2 class="section">Iteration on elements</h2>
+<a id="lab171"></a><h2 class="section">Iteration on elements</h2>
 
 </div>
 <div class="code">
@@ -257,7 +257,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab246"></a><h2 class="section">Testing universal or existential properties.</h2>
+<a id="lab172"></a><h2 class="section">Testing universal or existential properties.</h2>
 
 <div class="paragraph"> </div>
 
@@ -282,7 +282,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab247"></a><h2 class="section">Comparison of trees</h2>
+<a id="lab173"></a><h2 class="section">Comparison of trees</h2>
 
 <div class="paragraph"> </div>
 
@@ -389,7 +389,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab248"></a><h2 class="section">Subset test</h2>
+<a id="lab174"></a><h2 class="section">Subset test</h2>
 
 <div class="paragraph"> </div>
 
@@ -448,7 +448,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab249"></a><h1 class="section">Props : correctness proofs of these generic operations</h1>
+<a id="lab175"></a><h1 class="section">Props : correctness proofs of these generic operations</h1>
 
 </div>
 <div class="code">
@@ -460,7 +460,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab250"></a><h2 class="section">Occurrence in a tree</h2>
+<a id="lab176"></a><h2 class="section">Occurrence in a tree</h2>
 
 </div>
 <div class="code">
@@ -478,7 +478,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab251"></a><h2 class="section">Some shortcuts</h2>
+<a id="lab177"></a><h2 class="section">Some shortcuts</h2>
 
 </div>
 <div class="code">
@@ -494,7 +494,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab252"></a><h2 class="section">Binary search trees</h2>
+<a id="lab178"></a><h2 class="section">Binary search trees</h2>
 
 <div class="paragraph"> </div>
 
@@ -572,7 +572,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab253"></a><h2 class="section">Known facts about ordered types</h2>
+<a id="lab179"></a><h2 class="section">Known facts about ordered types</h2>
 
 </div>
 <div class="code">
@@ -584,7 +584,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab254"></a><h2 class="section">Automation and dedicated tactics</h2>
+<a id="lab180"></a><h2 class="section">Automation and dedicated tactics</h2>
 
 </div>
 <div class="code">
@@ -691,7 +691,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab255"></a><h2 class="section">Basic results about <span class="inlinecode"><span class="id" title="var">In</span></span></h2>
+<a id="lab181"></a><h2 class="section">Basic results about <span class="inlinecode"><span class="id" title="var">In</span></span></h2>
 
 </div>
 <div class="code">
@@ -789,7 +789,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab256"></a><h2 class="section">Empty set</h2>
+<a id="lab182"></a><h2 class="section">Empty set</h2>
 
 </div>
 <div class="code">
@@ -805,7 +805,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab257"></a><h2 class="section">Emptyness test</h2>
+<a id="lab183"></a><h2 class="section">Emptyness test</h2>
 
 </div>
 <div class="code">
@@ -817,7 +817,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab258"></a><h2 class="section">Membership</h2>
+<a id="lab184"></a><h2 class="section">Membership</h2>
 
 </div>
 <div class="code">
@@ -829,7 +829,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab259"></a><h2 class="section">Minimal and maximal elements</h2>
+<a id="lab185"></a><h2 class="section">Minimal and maximal elements</h2>
 
 </div>
 <div class="code">
@@ -869,7 +869,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab260"></a><h2 class="section">Elements</h2>
+<a id="lab186"></a><h2 class="section">Elements</h2>
 
 </div>
 <div class="code">
@@ -945,7 +945,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab261"></a><h2 class="section"><span class="inlinecode"><span class="id" title="var">for_all</span></span> and <span class="inlinecode"><span class="id" title="tactic">exists</span></span></h2>
+<a id="lab187"></a><h2 class="section"><span class="inlinecode"><span class="id" title="var">for_all</span></span> and <span class="inlinecode"><span class="id" title="tactic">exists</span></span></h2>
 
 </div>
 <div class="code">
@@ -962,7 +962,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab262"></a><h2 class="section">Fold</h2>
+<a id="lab188"></a><h2 class="section">Fold</h2>
 
 </div>
 <div class="code">
@@ -979,7 +979,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab263"></a><h2 class="section">Subset</h2>
+<a id="lab189"></a><h2 class="section">Subset</h2>
 
 </div>
 <div class="code">
@@ -1004,7 +1004,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab264"></a><h2 class="section">Comparison</h2>
+<a id="lab190"></a><h2 class="section">Comparison</h2>
 
 <div class="paragraph"> </div>
 
@@ -1106,7 +1106,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab265"></a><h2 class="section">Equality test</h2>
+<a id="lab191"></a><h2 class="section">Equality test</h2>
 
 </div>
 <div class="code">
@@ -1119,7 +1119,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetGenTree</h1>
 </div>
 
 <div class="doc">
-<a id="lab266"></a><h2 class="section">A few results about <span class="inlinecode"><span class="id" title="var">mindepth</span></span> and <span class="inlinecode"><span class="id" title="var">maxdepth</span></span></h2>
+<a id="lab192"></a><h2 class="section">A few results about <span class="inlinecode"><span class="id" title="var">mindepth</span></span> and <span class="inlinecode"><span class="id" title="var">maxdepth</span></span></h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.MSets.MSetInterface.html b/master/stdlib/Stdlib.MSets.MSetInterface.html
index ef3c858a7b..cc4e8fde6d 100644
--- a/master/stdlib/Stdlib.MSets.MSetInterface.html
+++ b/master/stdlib/Stdlib.MSets.MSetInterface.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab233"></a><h1 class="section">Finite set library</h1>
+<a id="lab293"></a><h1 class="section">Finite set library</h1>
 
 <div class="paragraph"> </div>
 
@@ -317,7 +317,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab234"></a><h2 class="section">Functorial signature for weak sets</h2>
+<a id="lab294"></a><h2 class="section">Functorial signature for weak sets</h2>
 
 
 <div class="paragraph"> </div>
@@ -431,7 +431,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab235"></a><h2 class="section">Static signature for weak sets</h2>
+<a id="lab295"></a><h2 class="section">Static signature for weak sets</h2>
 
 
 <div class="paragraph"> </div>
@@ -451,7 +451,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab236"></a><h2 class="section">Functorial signature for sets on ordered elements</h2>
+<a id="lab296"></a><h2 class="section">Functorial signature for sets on ordered elements</h2>
 
 
 <div class="paragraph"> </div>
@@ -563,7 +563,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab237"></a><h2 class="section">Static signature for sets on ordered elements</h2>
+<a id="lab297"></a><h2 class="section">Static signature for sets on ordered elements</h2>
 
 
 <div class="paragraph"> </div>
@@ -586,7 +586,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetInterface</h1>
 </div>
 
 <div class="doc">
-<a id="lab238"></a><h2 class="section">Some subtyping tests</h2>
+<a id="lab298"></a><h2 class="section">Some subtyping tests</h2>
 
 <pre>
 WSetsOn ---&gt; WSets
@@ -603,7 +603,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetInterface</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab239"></a><h2 class="section">Signatures for set representations with ill-formed values.</h2>
+<a id="lab299"></a><h2 class="section">Signatures for set representations with ill-formed values.</h2>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.MSets.MSetList.html b/master/stdlib/Stdlib.MSets.MSetList.html
index 462fdbd82c..4f5343d06e 100644
--- a/master/stdlib/Stdlib.MSets.MSetList.html
+++ b/master/stdlib/Stdlib.MSets.MSetList.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetList</h1>
 </div>
 
 <div class="doc">
-<a id="lab133"></a><h1 class="section">Finite sets library</h1>
+<a id="lab156"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
@@ -65,7 +65,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetList</h1>
 </div>
 
 <div class="doc">
-<a id="lab134"></a><h1 class="section">Functions over lists</h1>
+<a id="lab157"></a><h1 class="section">Functions over lists</h1>
 
 
 <div class="paragraph"> </div>
@@ -93,7 +93,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetList</h1>
 </div>
 
 <div class="doc">
-<a id="lab135"></a><h2 class="section">The set operations.</h2>
+<a id="lab158"></a><h2 class="section">The set operations.</h2>
 
 </div>
 <div class="code">
@@ -301,7 +301,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetList</h1>
 </div>
 
 <div class="doc">
-<a id="lab136"></a><h2 class="section">Proofs of set operation specifications.</h2>
+<a id="lab159"></a><h2 class="section">Proofs of set operation specifications.</h2>
 
 </div>
 <div class="code">
@@ -642,7 +642,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetList</h1>
 </div>
 
 <div class="doc">
-<a id="lab137"></a><h1 class="section">Encapsulation</h1>
+<a id="lab160"></a><h1 class="section">Encapsulation</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.MSets.MSetProperties.html b/master/stdlib/Stdlib.MSets.MSetProperties.html
index d62fe533d8..e6b65a2886 100644
--- a/master/stdlib/Stdlib.MSets.MSetProperties.html
+++ b/master/stdlib/Stdlib.MSets.MSetProperties.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab267"></a><h1 class="section">Finite sets library</h1>
+<a id="lab142"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
@@ -341,7 +341,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
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+<a id="lab143"></a><h1 class="section">Properties of elements</h1>
 
 </div>
 <div class="code">
@@ -356,7 +356,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab269"></a><h1 class="section">Conversions between lists and sets</h1>
+<a id="lab144"></a><h1 class="section">Conversions between lists and sets</h1>
 
 </div>
 <div class="code">
@@ -380,7 +380,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
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 </div>
 <div class="code">
@@ -408,7 +408,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab271"></a><h2 class="section">Induction principles for fold (contributed by S. Lescuyer)</h2>
+<a id="lab146"></a><h2 class="section">Induction principles for fold (contributed by S. Lescuyer)</h2>
 
 <div class="paragraph"> </div>
 
@@ -514,7 +514,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab272"></a><h2 class="section">Alternative (weaker) specifications for <span class="inlinecode"><span class="id" title="tactic">fold</span></span></h2>
+<a id="lab147"></a><h2 class="section">Alternative (weaker) specifications for <span class="inlinecode"><span class="id" title="tactic">fold</span></span></h2>
 
 <div class="paragraph"> </div>
 
@@ -586,7 +586,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab273"></a><h2 class="section">Fold is a morphism</h2>
+<a id="lab148"></a><h2 class="section">Fold is a morphism</h2>
 
 </div>
 <div class="code">
@@ -603,7 +603,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
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+<a id="lab149"></a><h2 class="section">Fold and other set operators</h2>
 
 </div>
 <div class="code">
@@ -655,11 +655,11 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab275"></a><h1 class="section">Cardinal</h1>
+<a id="lab150"></a><h1 class="section">Cardinal</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab276"></a><h2 class="section">Characterization of cardinal in terms of fold</h2>
+<a id="lab151"></a><h2 class="section">Characterization of cardinal in terms of fold</h2>
 
 </div>
 <div class="code">
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 </div>
 
 <div class="doc">
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 <div class="code">
@@ -694,7 +694,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
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 </div>
 <div class="code">
@@ -719,7 +719,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
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+<a id="lab154"></a><h2 class="section">Cardinal is a morphism</h2>
 
 </div>
 <div class="code">
@@ -739,7 +739,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetProperties</h1>
 </div>
 
 <div class="doc">
-<a id="lab280"></a><h2 class="section">Cardinal and set operators</h2>
+<a id="lab155"></a><h2 class="section">Cardinal and set operators</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.MSets.MSetRBT.html b/master/stdlib/Stdlib.MSets.MSetRBT.html
index 6599ebc327..ae288a84ad 100644
--- a/master/stdlib/Stdlib.MSets.MSetRBT.html
+++ b/master/stdlib/Stdlib.MSets.MSetRBT.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab191"></a><h1 class="section">MSetRBT : Implementation of MSetInterface via Red-Black trees</h1>
+<a id="lab229"></a><h1 class="section">MSetRBT : Implementation of MSetInterface via Red-Black trees</h1>
 
 <div class="paragraph"> </div>
 
@@ -152,7 +152,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab192"></a><h1 class="section">Ops : the pure functions</h1>
+<a id="lab230"></a><h1 class="section">Ops : the pure functions</h1>
 
 </div>
 <div class="code">
@@ -164,7 +164,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab193"></a><h2 class="section">Generic trees instantiated with color</h2>
+<a id="lab231"></a><h2 class="section">Generic trees instantiated with color</h2>
 
 <div class="paragraph"> </div>
 
@@ -186,7 +186,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
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@@ -198,7 +198,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
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 </div>
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@@ -221,7 +221,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
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+<a id="lab234"></a><h2 class="section">Balancing</h2>
 
 <div class="paragraph"> </div>
 
@@ -302,7 +302,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab197"></a><h2 class="section">Insertion</h2>
+<a id="lab235"></a><h2 class="section">Insertion</h2>
 
 </div>
 <div class="code">
@@ -334,7 +334,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab198"></a><h2 class="section">Deletion</h2>
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 </div>
 <div class="code">
@@ -394,7 +394,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab199"></a><h2 class="section">Removing minimal element</h2>
+<a id="lab237"></a><h2 class="section">Removing minimal element</h2>
 
 </div>
 <div class="code">
@@ -424,7 +424,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab200"></a><h2 class="section">Tree-ification</h2>
+<a id="lab238"></a><h2 class="section">Tree-ification</h2>
 
 
 <div class="paragraph"> </div>
@@ -487,7 +487,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab201"></a><h2 class="section">Filtering</h2>
+<a id="lab239"></a><h2 class="section">Filtering</h2>
 
 </div>
 <div class="code">
@@ -525,7 +525,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab202"></a><h2 class="section">Union, intersection, difference</h2>
+<a id="lab240"></a><h2 class="section">Union, intersection, difference</h2>
 
 <div class="paragraph"> </div>
 
@@ -685,7 +685,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab203"></a><h1 class="section">MakeRaw : the pure functions and their specifications</h1>
+<a id="lab241"></a><h1 class="section">MakeRaw : the pure functions and their specifications</h1>
 
 </div>
 <div class="code">
@@ -723,7 +723,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab204"></a><h2 class="section">Singleton set</h2>
+<a id="lab242"></a><h2 class="section">Singleton set</h2>
 
 </div>
 <div class="code">
@@ -739,7 +739,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab205"></a><h2 class="section">makeBlack, MakeRed</h2>
+<a id="lab243"></a><h2 class="section">makeBlack, MakeRed</h2>
 
 </div>
 <div class="code">
@@ -762,7 +762,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab206"></a><h2 class="section">Generic handling for red-matching and red-red-matching</h2>
+<a id="lab244"></a><h2 class="section">Generic handling for red-matching and red-red-matching</h2>
 
 </div>
 <div class="code">
@@ -887,7 +887,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab207"></a><h2 class="section">Balancing for insertion</h2>
+<a id="lab245"></a><h2 class="section">Balancing for insertion</h2>
 
 </div>
 <div class="code">
@@ -933,7 +933,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab208"></a><h2 class="section">Insertion</h2>
+<a id="lab246"></a><h2 class="section">Insertion</h2>
 
 </div>
 <div class="code">
@@ -966,7 +966,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab209"></a><h2 class="section">Balancing for deletion</h2>
+<a id="lab247"></a><h2 class="section">Balancing for deletion</h2>
 
 </div>
 <div class="code">
@@ -996,7 +996,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab210"></a><h2 class="section">Append for deletion</h2>
+<a id="lab248"></a><h2 class="section">Append for deletion</h2>
 
 </div>
 <div class="code">
@@ -1049,7 +1049,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab211"></a><h2 class="section">Deletion</h2>
+<a id="lab249"></a><h2 class="section">Deletion</h2>
 
 </div>
 <div class="code">
@@ -1080,7 +1080,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab212"></a><h2 class="section">Removing the minimal element</h2>
+<a id="lab250"></a><h2 class="section">Removing the minimal element</h2>
 
 </div>
 <div class="code">
@@ -1109,7 +1109,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab213"></a><h2 class="section">Treeify</h2>
+<a id="lab251"></a><h2 class="section">Treeify</h2>
 
 </div>
 <div class="code">
@@ -1161,7 +1161,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab214"></a><h2 class="section">Filter</h2>
+<a id="lab252"></a><h2 class="section">Filter</h2>
 
 </div>
 <div class="code">
@@ -1187,7 +1187,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab215"></a><h2 class="section">Partition</h2>
+<a id="lab253"></a><h2 class="section">Partition</h2>
 
 </div>
 <div class="code">
@@ -1223,7 +1223,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab216"></a><h2 class="section">An invariant for binary list functions with accumulator.</h2>
+<a id="lab254"></a><h2 class="section">An invariant for binary list functions with accumulator.</h2>
 
 </div>
 <div class="code">
@@ -1270,7 +1270,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab217"></a><h2 class="section">union</h2>
+<a id="lab255"></a><h2 class="section">union</h2>
 
 </div>
 <div class="code">
@@ -1318,7 +1318,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab218"></a><h2 class="section">inter</h2>
+<a id="lab256"></a><h2 class="section">inter</h2>
 
 </div>
 <div class="code">
@@ -1359,7 +1359,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab219"></a><h2 class="section">difference</h2>
+<a id="lab257"></a><h2 class="section">difference</h2>
 
 </div>
 <div class="code">
@@ -1408,7 +1408,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab220"></a><h1 class="section">Balancing properties</h1>
+<a id="lab258"></a><h1 class="section">Balancing properties</h1>
 
 
 <div class="paragraph"> </div>
@@ -1431,7 +1431,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab221"></a><h2 class="section">Red-Black invariants</h2>
+<a id="lab259"></a><h2 class="section">Red-Black invariants</h2>
 
 <div class="paragraph"> </div>
 
@@ -1502,7 +1502,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab222"></a><h2 class="section">Basic tactics and results about red-black</h2>
+<a id="lab260"></a><h2 class="section">Basic tactics and results about red-black</h2>
 
 </div>
 <div class="code">
@@ -1537,7 +1537,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab223"></a><h2 class="section">A Red-Black tree has indeed a logarithmic depth</h2>
+<a id="lab261"></a><h2 class="section">A Red-Black tree has indeed a logarithmic depth</h2>
 
 </div>
 <div class="code">
@@ -1563,7 +1563,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab224"></a><h2 class="section">Singleton</h2>
+<a id="lab262"></a><h2 class="section">Singleton</h2>
 
 </div>
 <div class="code">
@@ -1575,7 +1575,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab225"></a><h2 class="section"><span class="inlinecode"><span class="id" title="var">makeBlack</span></span> and <span class="inlinecode"><span class="id" title="var">makeRed</span></span></h2>
+<a id="lab263"></a><h2 class="section"><span class="inlinecode"><span class="id" title="var">makeBlack</span></span> and <span class="inlinecode"><span class="id" title="var">makeRed</span></span></h2>
 
 </div>
 <div class="code">
@@ -1591,7 +1591,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab226"></a><h2 class="section">Balancing</h2>
+<a id="lab264"></a><h2 class="section">Balancing</h2>
 
 </div>
 <div class="code">
@@ -1628,7 +1628,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab227"></a><h2 class="section">Insertion</h2>
+<a id="lab265"></a><h2 class="section">Insertion</h2>
 
 <div class="paragraph"> </div>
 
@@ -1661,7 +1661,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab228"></a><h2 class="section">Deletion</h2>
+<a id="lab266"></a><h2 class="section">Deletion</h2>
 
 <div class="paragraph"> </div>
 
@@ -1692,7 +1692,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab229"></a><h2 class="section">Treeify</h2>
+<a id="lab267"></a><h2 class="section">Treeify</h2>
 
 </div>
 <div class="code">
@@ -1739,7 +1739,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab230"></a><h2 class="section">Filtering</h2>
+<a id="lab268"></a><h2 class="section">Filtering</h2>
 
 </div>
 <div class="code">
@@ -1760,7 +1760,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab231"></a><h2 class="section">Union, intersection, difference</h2>
+<a id="lab269"></a><h2 class="section">Union, intersection, difference</h2>
 
 </div>
 <div class="code">
@@ -1789,7 +1789,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetRBT</h1>
 </div>
 
 <div class="doc">
-<a id="lab232"></a><h1 class="section">Final Encapsulation</h1>
+<a id="lab270"></a><h1 class="section">Final Encapsulation</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html b/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html
index 5cf7a2341f..2a2b248e4b 100644
--- a/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html
+++ b/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetToFiniteSet</h1>
 </div>
 
 <div class="doc">
-<a id="lab138"></a><h1 class="section">Finite sets library : conversion to old <span class="inlinecode"><span class="id" title="var">Finite_sets</span></span></h1>
+<a id="lab227"></a><h1 class="section">Finite sets library : conversion to old <span class="inlinecode"><span class="id" title="var">Finite_sets</span></span></h1>
 
 </div>
 <div class="code">
@@ -61,7 +61,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetToFiniteSet</h1>
 </div>
 
 <div class="doc">
-<a id="lab139"></a><h1 class="section">Going from <span class="inlinecode"><span class="id" title="var">MSets</span></span> with usual Leibniz equality</h1>
+<a id="lab228"></a><h1 class="section">Going from <span class="inlinecode"><span class="id" title="var">MSets</span></span> with usual Leibniz equality</h1>
 
     to the good old <span class="inlinecode"><span class="id" title="var">Ensembles</span></span> and <span class="inlinecode"><span class="id" title="var">Finite_sets</span></span> theory. 
 </div>
diff --git a/master/stdlib/Stdlib.MSets.MSetWeakList.html b/master/stdlib/Stdlib.MSets.MSetWeakList.html
index afa8c99e11..d1702af946 100644
--- a/master/stdlib/Stdlib.MSets.MSetWeakList.html
+++ b/master/stdlib/Stdlib.MSets.MSetWeakList.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab281"></a><h1 class="section">Finite sets library</h1>
+<a id="lab161"></a><h1 class="section">Finite sets library</h1>
 
 <div class="paragraph"> </div>
 
@@ -68,7 +68,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab282"></a><h1 class="section">Functions over lists</h1>
+<a id="lab162"></a><h1 class="section">Functions over lists</h1>
 
 
 <div class="paragraph"> </div>
@@ -78,7 +78,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetWeakList</h1>
    And the functions returning sets are proved to preserve this invariant. 
 <div class="paragraph"> </div>
 
-<a id="lab283"></a><h2 class="section">The set operations.</h2>
+<a id="lab163"></a><h2 class="section">The set operations.</h2>
 
 </div>
 <div class="code">
@@ -193,7 +193,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab284"></a><h2 class="section">Proofs of set operation specifications.</h2>
+<a id="lab164"></a><h2 class="section">Proofs of set operation specifications.</h2>
 
 </div>
 <div class="code">
@@ -425,7 +425,7 @@ <h1 class="libtitle">Library Stdlib.MSets.MSetWeakList</h1>
 </div>
 
 <div class="doc">
-<a id="lab285"></a><h1 class="section">Encapsulation</h1>
+<a id="lab165"></a><h1 class="section">Encapsulation</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.NArith.BinNat.html b/master/stdlib/Stdlib.NArith.BinNat.html
index c4b1d0e02c..c967b43bb7 100644
--- a/master/stdlib/Stdlib.NArith.BinNat.html
+++ b/master/stdlib/Stdlib.NArith.BinNat.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.NArith.BinNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab54"></a><h1 class="section">Binary natural numbers, operations and properties</h1>
+<a id="lab736"></a><h1 class="section">Binary natural numbers, operations and properties</h1>
 
 <div class="paragraph"> </div>
 
@@ -894,7 +894,7 @@ <h1 class="libtitle">Library Stdlib.NArith.BinNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab55"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">iter</span></span></h2>
+<a id="lab737"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">iter</span></span></h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.NArith.BinNatDef.html b/master/stdlib/Stdlib.NArith.BinNatDef.html
index 91df6febf4..5f27d1df8f 100644
--- a/master/stdlib/Stdlib.NArith.BinNatDef.html
+++ b/master/stdlib/Stdlib.NArith.BinNatDef.html
@@ -61,7 +61,7 @@ <h1 class="libtitle">Library Stdlib.NArith.BinNatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab58"></a><h1 class="section">Binary natural numbers, definitions of operations</h1>
+<a id="lab730"></a><h1 class="section">Binary natural numbers, definitions of operations</h1>
 
 </div>
 <div class="code">
@@ -79,7 +79,7 @@ <h1 class="libtitle">Library Stdlib.NArith.BinNatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab59"></a><h2 class="section">Nicer name <span class="inlinecode"><span class="id" title="var">N.pos</span></span> for constructor <span class="inlinecode"><span class="id" title="var">Npos</span></span></h2>
+<a id="lab731"></a><h2 class="section">Nicer name <span class="inlinecode"><span class="id" title="var">N.pos</span></span> for constructor <span class="inlinecode"><span class="id" title="var">Npos</span></span></h2>
 
 </div>
 <div class="code">
@@ -91,7 +91,7 @@ <h1 class="libtitle">Library Stdlib.NArith.BinNatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab60"></a><h2 class="section">Constants</h2>
+<a id="lab732"></a><h2 class="section">Constants</h2>
 
 </div>
 <div class="code">
@@ -105,7 +105,7 @@ <h1 class="libtitle">Library Stdlib.NArith.BinNatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab61"></a><h2 class="section">Successor</h2>
+<a id="lab733"></a><h2 class="section">Successor</h2>
 
 </div>
 <div class="code">
@@ -121,7 +121,7 @@ <h1 class="libtitle">Library Stdlib.NArith.BinNatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab62"></a><h2 class="section">Predecessor</h2>
+<a id="lab734"></a><h2 class="section">Predecessor</h2>
 
 </div>
 <div class="code">
@@ -137,7 +137,7 @@ <h1 class="libtitle">Library Stdlib.NArith.BinNatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab63"></a><h2 class="section">Addition</h2>
+<a id="lab735"></a><h2 class="section">Addition</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.NArith.Nnat.html b/master/stdlib/Stdlib.NArith.Nnat.html
index 0bbbff45a4..22a7af4450 100644
--- a/master/stdlib/Stdlib.NArith.Nnat.html
+++ b/master/stdlib/Stdlib.NArith.Nnat.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.NArith.Nnat</h1>
 </div>
 
 <div class="doc">
-<a id="lab56"></a><h1 class="section">Conversions from <span class="inlinecode"><span class="id" title="var">N</span></span> to <span class="inlinecode"><span class="id" title="var">nat</span></span></h1>
+<a id="lab728"></a><h1 class="section">Conversions from <span class="inlinecode"><span class="id" title="var">N</span></span> to <span class="inlinecode"><span class="id" title="var">nat</span></span></h1>
 
 </div>
 <div class="code">
@@ -167,7 +167,7 @@ <h1 class="libtitle">Library Stdlib.NArith.Nnat</h1>
 </div>
 
 <div class="doc">
-<a id="lab57"></a><h1 class="section">Conversions from <span class="inlinecode"><span class="id" title="var">nat</span></span> to <span class="inlinecode"><span class="id" title="var">N</span></span></h1>
+<a id="lab729"></a><h1 class="section">Conversions from <span class="inlinecode"><span class="id" title="var">nat</span></span> to <span class="inlinecode"><span class="id" title="var">N</span></span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.AltBinNotations.html b/master/stdlib/Stdlib.Numbers.AltBinNotations.html
index a25e9d28e4..9fc08b8a2c 100644
--- a/master/stdlib/Stdlib.Numbers.AltBinNotations.html
+++ b/master/stdlib/Stdlib.Numbers.AltBinNotations.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.AltBinNotations</h1>
 </div>
 
 <div class="doc">
-<a id="lab293"></a><h1 class="section">Alternative Binary Number Notations</h1>
+<a id="lab652"></a><h1 class="section">Alternative Binary Number Notations</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html
index 7a678b2911..451f6317ab 100644
--- a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html
+++ b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms</h1>
 </div>
 
 <div class="doc">
-<a id="lab353"></a><h1 class="section">Signature and specification of bounded integers</h1>
+<a id="lab597"></a><h1 class="section">Signature and specification of bounded integers</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html
index 0abfbff9d9..57fc05f859 100644
--- a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html
+++ b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html
@@ -56,7 +56,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Cyclic.Abstract.NZCyclic</h1>
 </div>
 
 <div class="doc">
-<a id="lab352"></a><h1 class="section">From <span class="inlinecode"><span class="id" title="var">CyclicType</span></span> to <span class="inlinecode"><span class="id" title="var">NZAxiomsSig</span></span></h1>
+<a id="lab596"></a><h1 class="section">From <span class="inlinecode"><span class="id" title="var">CyclicType</span></span> to <span class="inlinecode"><span class="id" title="var">NZAxiomsSig</span></span></h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html
index ee069a2d22..b806c04fde 100644
--- a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html
+++ b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Cyclic.Int63.Cyclic63</h1>
 </div>
 
 <div class="doc">
-<a id="lab355"></a><h1 class="section">Uint63 numbers defines indeed a cyclic structure : Z/(2^63)Z</h1>
+<a id="lab598"></a><h1 class="section">Uint63 numbers defines indeed a cyclic structure : Z/(2^63)Z</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html
index 712d57c3ac..e8cc4e91d5 100644
--- a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html
+++ b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Cyclic.Int63.Ring63</h1>
 </div>
 
 <div class="doc">
-<a id="lab354"></a><h1 class="section">Uint63 numbers defines Z/(2^63)Z, and can hence be equipped</h1>
+<a id="lab599"></a><h1 class="section">Uint63 numbers defines Z/(2^63)Z, and can hence be equipped</h1>
 
       with a ring structure and a ring tactic 
 </div>
diff --git a/master/stdlib/Stdlib.Numbers.DecimalFacts.html b/master/stdlib/Stdlib.Numbers.DecimalFacts.html
index 9472fe38fe..94c3e455ef 100644
--- a/master/stdlib/Stdlib.Numbers.DecimalFacts.html
+++ b/master/stdlib/Stdlib.Numbers.DecimalFacts.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.DecimalFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab319"></a><h1 class="section">DecimalFacts : some facts about Decimal numbers</h1>
+<a id="lab600"></a><h1 class="section">DecimalFacts : some facts about Decimal numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.DecimalN.html b/master/stdlib/Stdlib.Numbers.DecimalN.html
index aad76bbee1..04b4ca8041 100644
--- a/master/stdlib/Stdlib.Numbers.DecimalN.html
+++ b/master/stdlib/Stdlib.Numbers.DecimalN.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.DecimalN</h1>
 </div>
 
 <div class="doc">
-<a id="lab351"></a><h1 class="section">DecimalN</h1>
+<a id="lab585"></a><h1 class="section">DecimalN</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.DecimalNat.html b/master/stdlib/Stdlib.Numbers.DecimalNat.html
index dfec280146..9a913db6b8 100644
--- a/master/stdlib/Stdlib.Numbers.DecimalNat.html
+++ b/master/stdlib/Stdlib.Numbers.DecimalNat.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.DecimalNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab316"></a><h1 class="section">DecimalNat</h1>
+<a id="lab619"></a><h1 class="section">DecimalNat</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.DecimalPos.html b/master/stdlib/Stdlib.Numbers.DecimalPos.html
index 6b6dfe41e2..bae2d449d6 100644
--- a/master/stdlib/Stdlib.Numbers.DecimalPos.html
+++ b/master/stdlib/Stdlib.Numbers.DecimalPos.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.DecimalPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab296"></a><h1 class="section">DecimalPos</h1>
+<a id="lab584"></a><h1 class="section">DecimalPos</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.DecimalQ.html b/master/stdlib/Stdlib.Numbers.DecimalQ.html
index 350042bed1..35098d21ec 100644
--- a/master/stdlib/Stdlib.Numbers.DecimalQ.html
+++ b/master/stdlib/Stdlib.Numbers.DecimalQ.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.DecimalQ</h1>
 </div>
 
 <div class="doc">
-<a id="lab295"></a><h1 class="section">DecimalQ</h1>
+<a id="lab602"></a><h1 class="section">DecimalQ</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.DecimalR.html b/master/stdlib/Stdlib.Numbers.DecimalR.html
index e2b98d438e..24cddb2ffa 100644
--- a/master/stdlib/Stdlib.Numbers.DecimalR.html
+++ b/master/stdlib/Stdlib.Numbers.DecimalR.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.DecimalR</h1>
 </div>
 
 <div class="doc">
-<a id="lab350"></a><h1 class="section">DecimalR</h1>
+<a id="lab621"></a><h1 class="section">DecimalR</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.DecimalString.html b/master/stdlib/Stdlib.Numbers.DecimalString.html
index 30602b9e73..644598b60d 100644
--- a/master/stdlib/Stdlib.Numbers.DecimalString.html
+++ b/master/stdlib/Stdlib.Numbers.DecimalString.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.DecimalString</h1>
 </div>
 
 <div class="doc">
-<a id="lab349"></a><h1 class="section">Conversion between decimal numbers and Coq strings</h1>
+<a id="lab650"></a><h1 class="section">Conversion between decimal numbers and Coq strings</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.DecimalZ.html b/master/stdlib/Stdlib.Numbers.DecimalZ.html
index b5a15aa5c7..0db078e010 100644
--- a/master/stdlib/Stdlib.Numbers.DecimalZ.html
+++ b/master/stdlib/Stdlib.Numbers.DecimalZ.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.DecimalZ</h1>
 </div>
 
 <div class="doc">
-<a id="lab317"></a><h1 class="section">DecimalZ</h1>
+<a id="lab651"></a><h1 class="section">DecimalZ</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html b/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html
index a94d65e8dd..4f0c66f08b 100644
--- a/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html
+++ b/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.HexadecimalFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab314"></a><h1 class="section">HexadecimalFacts : some facts about Hexadecimal numbers</h1>
+<a id="lab594"></a><h1 class="section">HexadecimalFacts : some facts about Hexadecimal numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalN.html b/master/stdlib/Stdlib.Numbers.HexadecimalN.html
index 1ab4b713df..0d43c77c30 100644
--- a/master/stdlib/Stdlib.Numbers.HexadecimalN.html
+++ b/master/stdlib/Stdlib.Numbers.HexadecimalN.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.HexadecimalN</h1>
 </div>
 
 <div class="doc">
-<a id="lab291"></a><h1 class="section">HexadecimalN</h1>
+<a id="lab655"></a><h1 class="section">HexadecimalN</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalNat.html b/master/stdlib/Stdlib.Numbers.HexadecimalNat.html
index 4a0e76a8bb..946e7b29d8 100644
--- a/master/stdlib/Stdlib.Numbers.HexadecimalNat.html
+++ b/master/stdlib/Stdlib.Numbers.HexadecimalNat.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.HexadecimalNat</h1>
 </div>
 
 <div class="doc">
-<a id="lab320"></a><h1 class="section">HexadecimalNat</h1>
+<a id="lab654"></a><h1 class="section">HexadecimalNat</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalPos.html b/master/stdlib/Stdlib.Numbers.HexadecimalPos.html
index 6cb82d0175..c5dce1dcff 100644
--- a/master/stdlib/Stdlib.Numbers.HexadecimalPos.html
+++ b/master/stdlib/Stdlib.Numbers.HexadecimalPos.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.HexadecimalPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab356"></a><h1 class="section">HexadecimalPos</h1>
+<a id="lab601"></a><h1 class="section">HexadecimalPos</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalQ.html b/master/stdlib/Stdlib.Numbers.HexadecimalQ.html
index 4e848f032f..c5159d58a4 100644
--- a/master/stdlib/Stdlib.Numbers.HexadecimalQ.html
+++ b/master/stdlib/Stdlib.Numbers.HexadecimalQ.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.HexadecimalQ</h1>
 </div>
 
 <div class="doc">
-<a id="lab294"></a><h1 class="section">HexadecimalQ</h1>
+<a id="lab586"></a><h1 class="section">HexadecimalQ</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalR.html b/master/stdlib/Stdlib.Numbers.HexadecimalR.html
index a97c7a6871..b98fa96c62 100644
--- a/master/stdlib/Stdlib.Numbers.HexadecimalR.html
+++ b/master/stdlib/Stdlib.Numbers.HexadecimalR.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.HexadecimalR</h1>
 </div>
 
 <div class="doc">
-<a id="lab313"></a><h1 class="section">HexadecimalR</h1>
+<a id="lab593"></a><h1 class="section">HexadecimalR</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalString.html b/master/stdlib/Stdlib.Numbers.HexadecimalString.html
index 3213668155..049cbf3328 100644
--- a/master/stdlib/Stdlib.Numbers.HexadecimalString.html
+++ b/master/stdlib/Stdlib.Numbers.HexadecimalString.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.HexadecimalString</h1>
 </div>
 
 <div class="doc">
-<a id="lab292"></a><h1 class="section">Conversion between hexadecimal numbers and Coq strings</h1>
+<a id="lab653"></a><h1 class="section">Conversion between hexadecimal numbers and Coq strings</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalZ.html b/master/stdlib/Stdlib.Numbers.HexadecimalZ.html
index c078fdf6a2..07c7bd7d6a 100644
--- a/master/stdlib/Stdlib.Numbers.HexadecimalZ.html
+++ b/master/stdlib/Stdlib.Numbers.HexadecimalZ.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.HexadecimalZ</h1>
 </div>
 
 <div class="doc">
-<a id="lab315"></a><h1 class="section">HexadecimalZ</h1>
+<a id="lab595"></a><h1 class="section">HexadecimalZ</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html
index 5c409f634c..b50bb22a25 100644
--- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html
+++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html
@@ -472,7 +472,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZBits</h1>
 </div>
 
 <div class="doc">
-<a id="lab304"></a><h1 class="section">Properties of shifts</h1>
+<a id="lab618"></a><h1 class="section">Properties of shifts</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html
index 1b09921d12..d894886c5c 100644
--- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html
+++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivEucl</h1>
 </div>
 
 <div class="doc">
-<a id="lab305"></a><h1 class="section">Euclidean Division for integers, Euclid convention</h1>
+<a id="lab614"></a><h1 class="section">Euclidean Division for integers, Euclid convention</h1>
 
 
 <div class="paragraph"> </div>
@@ -245,7 +245,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivEucl</h1>
 </div>
 
 <div class="doc">
-<a id="lab306"></a><h1 class="section">Basic values of divisions and modulo.</h1>
+<a id="lab615"></a><h1 class="section">Basic values of divisions and modulo.</h1>
 
 </div>
 <div class="code">
@@ -281,7 +281,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivEucl</h1>
 </div>
 
 <div class="doc">
-<a id="lab307"></a><h1 class="section">Order results about mod and div</h1>
+<a id="lab616"></a><h1 class="section">Order results about mod and div</h1>
 
 <div class="paragraph"> </div>
 
@@ -410,7 +410,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivEucl</h1>
 </div>
 
 <div class="doc">
-<a id="lab308"></a><h1 class="section">Relations between usual operations and mod and div</h1>
+<a id="lab617"></a><h1 class="section">Relations between usual operations and mod and div</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html
index ee466a60b7..e4ee711d00 100644
--- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html
+++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivFloor</h1>
 </div>
 
 <div class="doc">
-<a id="lab300"></a><h1 class="section">Euclidean Division for integers (Floor convention)</h1>
+<a id="lab604"></a><h1 class="section">Euclidean Division for integers (Floor convention)</h1>
 
 
 <div class="paragraph"> </div>
@@ -283,7 +283,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivFloor</h1>
 </div>
 
 <div class="doc">
-<a id="lab301"></a><h1 class="section">Basic values of divisions and modulo.</h1>
+<a id="lab605"></a><h1 class="section">Basic values of divisions and modulo.</h1>
 
 </div>
 <div class="code">
@@ -319,7 +319,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivFloor</h1>
 </div>
 
 <div class="doc">
-<a id="lab302"></a><h1 class="section">Order results about mod and div</h1>
+<a id="lab606"></a><h1 class="section">Order results about mod and div</h1>
 
 <div class="paragraph"> </div>
 
@@ -456,7 +456,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivFloor</h1>
 </div>
 
 <div class="doc">
-<a id="lab303"></a><h1 class="section">Relations between usual operations and mod and div</h1>
+<a id="lab607"></a><h1 class="section">Relations between usual operations and mod and div</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html
index c910dcb82f..3b77137b0f 100644
--- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html
+++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc</h1>
 </div>
 
 <div class="doc">
-<a id="lab309"></a><h1 class="section">Euclidean Division for integers (Trunc convention)</h1>
+<a id="lab610"></a><h1 class="section">Euclidean Division for integers (Trunc convention)</h1>
 
 
 <div class="paragraph"> </div>
@@ -208,7 +208,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc</h1>
 </div>
 
 <div class="doc">
-<a id="lab310"></a><h1 class="section">Basic values of divisions and modulo.</h1>
+<a id="lab611"></a><h1 class="section">Basic values of divisions and modulo.</h1>
 
 </div>
 <div class="code">
@@ -306,7 +306,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc</h1>
 </div>
 
 <div class="doc">
-<a id="lab311"></a><h1 class="section">Order results about rem and quot</h1>
+<a id="lab612"></a><h1 class="section">Order results about rem and quot</h1>
 
 <div class="paragraph"> </div>
 
@@ -441,7 +441,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc</h1>
 </div>
 
 <div class="doc">
-<a id="lab312"></a><h1 class="section">Relations between usual operations and rem and quot</h1>
+<a id="lab613"></a><h1 class="section">Relations between usual operations and rem and quot</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html
index cf82930d84..1389e2ef3c 100644
--- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html
+++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZLcm</h1>
 </div>
 
 <div class="doc">
-<a id="lab298"></a><h1 class="section">Least Common Multiple</h1>
+<a id="lab608"></a><h1 class="section">Least Common Multiple</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html
index e1c833fa0f..f70c7d73b9 100644
--- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html
+++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Abstract.ZMaxMin</h1>
 </div>
 
 <div class="doc">
-<a id="lab299"></a><h1 class="section">Properties of minimum and maximum specific to integer numbers</h1>
+<a id="lab609"></a><h1 class="section">Properties of minimum and maximum specific to integer numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html b/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html
index c1e0c71d7c..56a56db8f2 100644
--- a/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html
+++ b/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html
@@ -70,7 +70,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Integer.Binary.ZBinary</h1>
 </div>
 
 <div class="doc">
-<a id="lab297"></a><h1 class="section">An <span class="inlinecode"><span class="id" title="var">order</span></span> tactic for integers</h1>
+<a id="lab603"></a><h1 class="section">An <span class="inlinecode"><span class="id" title="var">order</span></span> tactic for integers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.NaryFunctions.html b/master/stdlib/Stdlib.Numbers.NaryFunctions.html
index 052552ea82..432b94da12 100644
--- a/master/stdlib/Stdlib.Numbers.NaryFunctions.html
+++ b/master/stdlib/Stdlib.Numbers.NaryFunctions.html
@@ -56,7 +56,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NaryFunctions</h1>
 </div>
 
 <div class="doc">
-<a id="lab318"></a><h1 class="section">Generic dependently-typed operators about <span class="inlinecode"><span class="id" title="var">n</span></span>-ary functions</h1>
+<a id="lab620"></a><h1 class="section">Generic dependently-typed operators about <span class="inlinecode"><span class="id" title="var">n</span></span>-ary functions</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html
index b919373a65..f41f5f630d 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZAdd</h1>
 </div>
 
 <div class="doc">
-<a id="lab321"></a><h1 class="section">Some properties of the addition for modules implementing <span class="inlinecode"><span class="id" title="var">NZBasicFunsSig'</span></span></h1>
+<a id="lab638"></a><h1 class="section">Some properties of the addition for modules implementing <span class="inlinecode"><span class="id" title="var">NZBasicFunsSig'</span></span></h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html
index 01ea045395..8a0c12e0bc 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZAddOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab323"></a><h1 class="section">Properties of orders and addition for modules implementing <span class="inlinecode"><span class="id" title="var">NZOrdAxiomsSig'</span></span></h1>
+<a id="lab622"></a><h1 class="section">Properties of orders and addition for modules implementing <span class="inlinecode"><span class="id" title="var">NZOrdAxiomsSig'</span></span></h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html
index 52b95606ad..03132f7bb8 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZAxioms</h1>
 Initial Author : Evgeny Makarov, INRIA, 2007 
 <div class="paragraph"> </div>
 
-<a id="lab338"></a><h1 class="section">Axioms for a domain with <span class="inlinecode"><span class="id" title="var">zero</span></span>, <span class="inlinecode"><span class="id" title="var">succ</span></span>, <span class="inlinecode"><span class="id" title="var">pred</span></span>.</h1>
+<a id="lab633"></a><h1 class="section">Axioms for a domain with <span class="inlinecode"><span class="id" title="var">zero</span></span>, <span class="inlinecode"><span class="id" title="var">succ</span></span>, <span class="inlinecode"><span class="id" title="var">pred</span></span>.</h1>
 
 </div>
 <div class="code">
@@ -144,7 +144,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZAxioms</h1>
 </span> 
 <div class="paragraph"> </div>
 
-<a id="lab339"></a><h2 class="section">Axiomatization of a domain with <span class="inlinecode"><span class="id" title="var">zero</span></span>, <span class="inlinecode"><span class="id" title="var">succ</span></span>, <span class="inlinecode"><span class="id" title="var">pred</span></span> and a bi-directional induction principle.</h2>
+<a id="lab634"></a><h2 class="section">Axiomatization of a domain with <span class="inlinecode"><span class="id" title="var">zero</span></span>, <span class="inlinecode"><span class="id" title="var">succ</span></span>, <span class="inlinecode"><span class="id" title="var">pred</span></span> and a bi-directional induction principle.</h2>
 
 </div>
 <div class="code">
@@ -226,7 +226,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZAxioms</h1>
 </div>
 
 <div class="doc">
-<a id="lab340"></a><h2 class="section">Axiomatization of some more constants</h2>
+<a id="lab635"></a><h2 class="section">Axiomatization of some more constants</h2>
 
 <div class="paragraph"> </div>
 
@@ -283,7 +283,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZAxioms</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab341"></a><h2 class="section">Axiomatization of basic operations : <span class="inlinecode">+</span> <span class="inlinecode">-</span> <span class="inlinecode">*</span></h2>
+<a id="lab636"></a><h2 class="section">Axiomatization of basic operations : <span class="inlinecode">+</span> <span class="inlinecode">-</span> <span class="inlinecode">*</span></h2>
 
 </div>
 <div class="code">
@@ -339,7 +339,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZAxioms</h1>
 </div>
 
 <div class="doc">
-<a id="lab342"></a><h2 class="section">Axiomatization of order</h2>
+<a id="lab637"></a><h2 class="section">Axiomatization of order</h2>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html b/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html
index 3e1e676fec..4f5c1163e2 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZBase</h1>
 </div>
 
 <div class="doc">
-<a id="lab347"></a><h1 class="section">Basic lemmas about modules implementing <span class="inlinecode"><span class="id" title="var">NZDomainSig'</span></span></h1>
+<a id="lab639"></a><h1 class="section">Basic lemmas about modules implementing <span class="inlinecode"><span class="id" title="var">NZDomainSig'</span></span></h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html b/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html
index 0541acd2b7..39e3440ddf 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html
@@ -189,7 +189,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZDiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab343"></a><h1 class="section">Basic values of divisions and modulo.</h1>
+<a id="lab647"></a><h1 class="section">Basic values of divisions and modulo.</h1>
 
 </div>
 <div class="code">
@@ -222,7 +222,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZDiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab344"></a><h1 class="section">Order results about mod and div</h1>
+<a id="lab648"></a><h1 class="section">Order results about mod and div</h1>
 
 <div class="paragraph"> </div>
 
@@ -334,7 +334,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZDiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab345"></a><h1 class="section">Relations between usual operations and mod and div</h1>
+<a id="lab649"></a><h1 class="section">Relations between usual operations and mod and div</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html b/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html
index 96e81985be..5badcb1cd7 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html
@@ -77,7 +77,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZDomain</h1>
 </div>
 
 <div class="doc">
-<a id="lab334"></a><h1 class="section">Relationship between points thanks to <span class="inlinecode"><span class="id" title="var">succ</span></span> and <span class="inlinecode"><span class="id" title="var">pred</span></span>.</h1>
+<a id="lab644"></a><h1 class="section">Relationship between points thanks to <span class="inlinecode"><span class="id" title="var">succ</span></span> and <span class="inlinecode"><span class="id" title="var">pred</span></span>.</h1>
 
 <div class="paragraph"> </div>
 
@@ -128,7 +128,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZDomain</h1>
 </div>
 
 <div class="doc">
-<a id="lab335"></a><h1 class="section">Study of initial point w.r.t. <span class="inlinecode"><span class="id" title="var">succ</span></span> (if any).</h1>
+<a id="lab645"></a><h1 class="section">Study of initial point w.r.t. <span class="inlinecode"><span class="id" title="var">succ</span></span> (if any).</h1>
 
 </div>
 <div class="code">
@@ -252,7 +252,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZDomain</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab336"></a><h1 class="section">An alternative induction principle using <span class="inlinecode"><span class="id" title="var">S</span></span> and <span class="inlinecode"><span class="id" title="var">P</span></span>.</h1>
+<a id="lab646"></a><h1 class="section">An alternative induction principle using <span class="inlinecode"><span class="id" title="var">S</span></span> and <span class="inlinecode"><span class="id" title="var">P</span></span>.</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html b/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html
index 168050d90c..a0a97fae81 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html
@@ -417,7 +417,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZLog</h1>
 </div>
 
 <div class="doc">
-<a id="lab322"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">log2_up</span></span> : a binary logarithm that rounds up instead of down</h1>
+<a id="lab642"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">log2_up</span></span> : a binary logarithm that rounds up instead of down</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html b/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html
index 4688b8a38c..d4e04a9d16 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZMul</h1>
 </div>
 
 <div class="doc">
-<a id="lab348"></a><h1 class="section">Some properties of the multiplication for modules implementing <span class="inlinecode"><span class="id" title="var">NZBasicFunsSig'</span></span></h1>
+<a id="lab641"></a><h1 class="section">Some properties of the multiplication for modules implementing <span class="inlinecode"><span class="id" title="var">NZBasicFunsSig'</span></span></h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html
index df7085a6fc..012d60671e 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZMulOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab346"></a><h1 class="section">Properties of orders and multiplication for modules implementing <span class="inlinecode"><span class="id" title="var">NZOrdAxiomsSig'</span></span></h1>
+<a id="lab643"></a><h1 class="section">Properties of orders and multiplication for modules implementing <span class="inlinecode"><span class="id" title="var">NZOrdAxiomsSig'</span></span></h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html
index 884c715983..cafdabeb4a 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab324"></a><h1 class="section">Lemmas about orders for modules implementing <span class="inlinecode"><span class="id" title="var">NZOrdSig'</span></span></h1>
+<a id="lab623"></a><h1 class="section">Lemmas about orders for modules implementing <span class="inlinecode"><span class="id" title="var">NZOrdSig'</span></span></h1>
 
 
 <div class="paragraph"> </div>
@@ -104,11 +104,11 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab325"></a><h2 class="section">Basic facts about <span class="inlinecode"><span class="id" title="var">le</span></span>, <span class="inlinecode"><span class="id" title="var">lt</span></span>, <span class="inlinecode"><span class="id" title="var">eq</span></span> and <span class="inlinecode"><span class="id" title="var">succ</span></span></h2>
+<a id="lab624"></a><h2 class="section">Basic facts about <span class="inlinecode"><span class="id" title="var">le</span></span>, <span class="inlinecode"><span class="id" title="var">lt</span></span>, <span class="inlinecode"><span class="id" title="var">eq</span></span> and <span class="inlinecode"><span class="id" title="var">succ</span></span></h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab326"></a><h3 class="section">Direct consequences of the specifications of <span class="inlinecode"><span class="id" title="var">lt</span></span> and <span class="inlinecode"><span class="id" title="var">le</span></span></h3>
+<a id="lab625"></a><h3 class="section">Direct consequences of the specifications of <span class="inlinecode"><span class="id" title="var">lt</span></span> and <span class="inlinecode"><span class="id" title="var">le</span></span></h3>
 
 </div>
 <div class="code">
@@ -166,7 +166,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab327"></a><h3 class="section">Asymmetry and transitivity.</h3>
+<a id="lab626"></a><h3 class="section">Asymmetry and transitivity.</h3>
 
 </div>
 <div class="code">
@@ -187,7 +187,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab328"></a><h3 class="section">Some type classes about order</h3>
+<a id="lab627"></a><h3 class="section">Some type classes about order</h3>
 
 </div>
 <div class="code">
@@ -208,7 +208,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab329"></a><h3 class="section">Making the generic <span class="inlinecode"><span class="id" title="var">order</span></span> tactic</h3>
+<a id="lab628"></a><h3 class="section">Making the generic <span class="inlinecode"><span class="id" title="var">order</span></span> tactic</h3>
 
 </div>
 <div class="code">
@@ -235,7 +235,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab330"></a><h3 class="section">Some direct consequences of <span class="inlinecode"><span class="id" title="var">order</span></span></h3>
+<a id="lab629"></a><h3 class="section">Some direct consequences of <span class="inlinecode"><span class="id" title="var">order</span></span></h3>
 
 </div>
 <div class="code">
@@ -280,7 +280,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab331"></a><h3 class="section">More properties of <span class="inlinecode">&lt;</span> and <span class="inlinecode">&lt;=</span> with respect to <span class="inlinecode"><span class="id" title="var">S</span></span> and <span class="inlinecode">0</span></h3>
+<a id="lab630"></a><h3 class="section">More properties of <span class="inlinecode">&lt;</span> and <span class="inlinecode">&lt;=</span> with respect to <span class="inlinecode"><span class="id" title="var">S</span></span> and <span class="inlinecode">0</span></h3>
 
 </div>
 <div class="code">
@@ -336,7 +336,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab332"></a><h3 class="section">More Trichotomy, decidability and double negation elimination</h3>
+<a id="lab631"></a><h3 class="section">More Trichotomy, decidability and double negation elimination</h3>
 
 <div class="paragraph"> </div>
 
@@ -447,7 +447,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZOrder</h1>
 </div>
 
 <div class="doc">
-<a id="lab333"></a><h2 class="section">Order-based induction principles</h2>
+<a id="lab632"></a><h2 class="section">Order-based induction principles</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html b/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html
index 39c7e08398..e97022ee84 100644
--- a/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html
+++ b/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html
@@ -347,7 +347,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.NatInt.NZSqrt</h1>
 </div>
 
 <div class="doc">
-<a id="lab337"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">sqrt_up</span></span> : a square root that rounds up instead of down</h1>
+<a id="lab640"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">sqrt_up</span></span> : a square root that rounds up instead of down</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html
index 854db28885..96c5826a2b 100644
--- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html
+++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html
@@ -157,7 +157,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Natural.Abstract.NDiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab358"></a><h1 class="section">Basic values of divisions and modulo.</h1>
+<a id="lab590"></a><h1 class="section">Basic values of divisions and modulo.</h1>
 
 </div>
 <div class="code">
@@ -190,7 +190,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Natural.Abstract.NDiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab359"></a><h1 class="section">Order results about mod and div</h1>
+<a id="lab591"></a><h1 class="section">Order results about mod and div</h1>
 
 <div class="paragraph"> </div>
 
@@ -288,7 +288,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Natural.Abstract.NDiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab360"></a><h1 class="section">Relations between usual operations and mod and div</h1>
+<a id="lab592"></a><h1 class="section">Relations between usual operations and mod and div</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html
index 30c30d2395..5d9101b237 100644
--- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html
+++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Natural.Abstract.NLcm</h1>
 </div>
 
 <div class="doc">
-<a id="lab361"></a><h1 class="section">Least Common Multiple</h1>
+<a id="lab588"></a><h1 class="section">Least Common Multiple</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html
index 151645ebca..701b191a3c 100644
--- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html
+++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Natural.Abstract.NMaxMin</h1>
 </div>
 
 <div class="doc">
-<a id="lab362"></a><h1 class="section">Properties of minimum and maximum specific to natural numbers</h1>
+<a id="lab589"></a><h1 class="section">Properties of minimum and maximum specific to natural numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html b/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html
index e911a47378..ba8a3ca7d5 100644
--- a/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html
+++ b/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html
@@ -58,7 +58,7 @@ <h1 class="libtitle">Library Stdlib.Numbers.Natural.Binary.NBinary</h1>
 </div>
 
 <div class="doc">
-<a id="lab357"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">BinNat.N</span></span> already implements <span class="inlinecode"><span class="id" title="var">NAxiomSig</span></span></h1>
+<a id="lab587"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">BinNat.N</span></span> already implements <span class="inlinecode"><span class="id" title="var">NAxiomSig</span></span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.PArith.BinPos.html b/master/stdlib/Stdlib.PArith.BinPos.html
index 17f77d2909..0fd40dbcf9 100644
--- a/master/stdlib/Stdlib.PArith.BinPos.html
+++ b/master/stdlib/Stdlib.PArith.BinPos.html
@@ -56,7 +56,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab64"></a><h1 class="section">Binary positive numbers, operations and properties</h1>
+<a id="lab84"></a><h1 class="section">Binary positive numbers, operations and properties</h1>
 
 <div class="paragraph"> </div>
 
@@ -90,7 +90,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab65"></a><h1 class="section">Definitions of operations, now in a separate file</h1>
+<a id="lab85"></a><h1 class="section">Definitions of operations, now in a separate file</h1>
 
 </div>
 <div class="code">
@@ -112,7 +112,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab66"></a><h1 class="section">Logical Predicates</h1>
+<a id="lab86"></a><h1 class="section">Logical Predicates</h1>
 
 </div>
 <div class="code">
@@ -144,11 +144,11 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab67"></a><h1 class="section">Properties of operations over positive numbers</h1>
+<a id="lab87"></a><h1 class="section">Properties of operations over positive numbers</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab68"></a><h2 class="section">Decidability of equality on binary positive numbers</h2>
+<a id="lab88"></a><h2 class="section">Decidability of equality on binary positive numbers</h2>
 
 </div>
 <div class="code">
@@ -160,11 +160,11 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab69"></a><h1 class="section">Properties of successor on binary positive numbers</h1>
+<a id="lab89"></a><h1 class="section">Properties of successor on binary positive numbers</h1>
 
 <div class="paragraph"> </div>
 
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+<a id="lab90"></a><h2 class="section">Specification of <span class="inlinecode"><span class="id" title="var">xI</span></span> in term of <span class="inlinecode"><span class="id" title="var">succ</span></span> and <span class="inlinecode"><span class="id" title="var">xO</span></span></h2>
 
 </div>
 <div class="code">
@@ -179,7 +179,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab71"></a><h2 class="section">Successor and double</h2>
+<a id="lab91"></a><h2 class="section">Successor and double</h2>
 
 </div>
 <div class="code">
@@ -203,7 +203,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab72"></a><h2 class="section">Successor and predecessor</h2>
+<a id="lab92"></a><h2 class="section">Successor and predecessor</h2>
 
 </div>
 <div class="code">
@@ -224,7 +224,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab73"></a><h2 class="section">Injectivity of successor</h2>
+<a id="lab93"></a><h2 class="section">Injectivity of successor</h2>
 
 </div>
 <div class="code">
@@ -236,7 +236,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab74"></a><h2 class="section">Predecessor to <span class="inlinecode"><span class="id" title="var">N</span></span></h2>
+<a id="lab94"></a><h2 class="section">Predecessor to <span class="inlinecode"><span class="id" title="var">N</span></span></h2>
 
 </div>
 <div class="code">
@@ -248,11 +248,11 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab75"></a><h1 class="section">Properties of addition on binary positive numbers</h1>
+<a id="lab95"></a><h1 class="section">Properties of addition on binary positive numbers</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab76"></a><h2 class="section">Specification of <span class="inlinecode"><span class="id" title="var">succ</span></span> in term of <span class="inlinecode"><span class="id" title="var">add</span></span></h2>
+<a id="lab96"></a><h2 class="section">Specification of <span class="inlinecode"><span class="id" title="var">succ</span></span> in term of <span class="inlinecode"><span class="id" title="var">add</span></span></h2>
 
 </div>
 <div class="code">
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab77"></a><h2 class="section">Specification of <span class="inlinecode"><span class="id" title="var">add_carry</span></span></h2>
+<a id="lab97"></a><h2 class="section">Specification of <span class="inlinecode"><span class="id" title="var">add_carry</span></span></h2>
 
 </div>
 <div class="code">
@@ -279,7 +279,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab78"></a><h2 class="section">Commutativity</h2>
+<a id="lab98"></a><h2 class="section">Commutativity</h2>
 
 </div>
 <div class="code">
@@ -291,7 +291,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab79"></a><h2 class="section">Permutation of <span class="inlinecode"><span class="id" title="var">add</span></span> and <span class="inlinecode"><span class="id" title="var">succ</span></span></h2>
+<a id="lab99"></a><h2 class="section">Permutation of <span class="inlinecode"><span class="id" title="var">add</span></span> and <span class="inlinecode"><span class="id" title="var">succ</span></span></h2>
 
 </div>
 <div class="code">
@@ -306,7 +306,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab80"></a><h2 class="section">No neutral elements for addition</h2>
+<a id="lab100"></a><h2 class="section">No neutral elements for addition</h2>
 
 </div>
 <div class="code">
@@ -316,7 +316,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab81"></a><h2 class="section">Simplification</h2>
+<a id="lab101"></a><h2 class="section">Simplification</h2>
 
 </div>
 <div class="code">
@@ -349,7 +349,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab82"></a><h2 class="section">Addition is associative</h2>
+<a id="lab102"></a><h2 class="section">Addition is associative</h2>
 
 </div>
 <div class="code">
@@ -361,7 +361,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab83"></a><h2 class="section">Commutation of addition and double</h2>
+<a id="lab103"></a><h2 class="section">Commutation of addition and double</h2>
 
 </div>
 <div class="code">
@@ -381,7 +381,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab84"></a><h2 class="section">Miscellaneous</h2>
+<a id="lab104"></a><h2 class="section">Miscellaneous</h2>
 
 </div>
 <div class="code">
@@ -393,7 +393,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab85"></a><h1 class="section">Peano induction and recursion on binary positive positive numbers</h1>
+<a id="lab105"></a><h1 class="section">Peano induction and recursion on binary positive positive numbers</h1>
 
 <div class="paragraph"> </div>
 
@@ -511,11 +511,11 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab86"></a><h1 class="section">Properties of multiplication on binary positive numbers</h1>
+<a id="lab106"></a><h1 class="section">Properties of multiplication on binary positive numbers</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab87"></a><h2 class="section">One is neutral for multiplication</h2>
+<a id="lab107"></a><h2 class="section">One is neutral for multiplication</h2>
 
 </div>
 <div class="code">
@@ -530,7 +530,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab88"></a><h2 class="section">Right reduction properties for multiplication</h2>
+<a id="lab108"></a><h2 class="section">Right reduction properties for multiplication</h2>
 
 </div>
 <div class="code">
@@ -545,7 +545,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab89"></a><h2 class="section">Commutativity of multiplication</h2>
+<a id="lab109"></a><h2 class="section">Commutativity of multiplication</h2>
 
 </div>
 <div class="code">
@@ -557,7 +557,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab90"></a><h2 class="section">Distributivity of multiplication over addition</h2>
+<a id="lab110"></a><h2 class="section">Distributivity of multiplication over addition</h2>
 
 </div>
 <div class="code">
@@ -574,7 +574,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab91"></a><h2 class="section">Associativity of multiplication</h2>
+<a id="lab111"></a><h2 class="section">Associativity of multiplication</h2>
 
 </div>
 <div class="code">
@@ -586,7 +586,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab92"></a><h2 class="section">Successor and multiplication</h2>
+<a id="lab112"></a><h2 class="section">Successor and multiplication</h2>
 
 </div>
 <div class="code">
@@ -601,7 +601,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab93"></a><h2 class="section">Parity properties of multiplication</h2>
+<a id="lab113"></a><h2 class="section">Parity properties of multiplication</h2>
 
 </div>
 <div class="code">
@@ -616,7 +616,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab94"></a><h2 class="section">Simplification properties of multiplication</h2>
+<a id="lab114"></a><h2 class="section">Simplification properties of multiplication</h2>
 
 </div>
 <div class="code">
@@ -637,7 +637,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab95"></a><h2 class="section">Inversion of multiplication</h2>
+<a id="lab115"></a><h2 class="section">Inversion of multiplication</h2>
 
 </div>
 <div class="code">
@@ -655,7 +655,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab96"></a><h2 class="section">Square</h2>
+<a id="lab116"></a><h2 class="section">Square</h2>
 
 </div>
 <div class="code">
@@ -670,7 +670,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab97"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">iter</span></span></h2>
+<a id="lab117"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">iter</span></span></h2>
 
 </div>
 <div class="code">
@@ -716,7 +716,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab98"></a><h2 class="section">Properties of power</h2>
+<a id="lab118"></a><h2 class="section">Properties of power</h2>
 
 </div>
 <div class="code">
@@ -731,7 +731,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab99"></a><h2 class="section">Properties of square</h2>
+<a id="lab119"></a><h2 class="section">Properties of square</h2>
 
 </div>
 <div class="code">
@@ -743,7 +743,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab100"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">sub_mask</span></span></h2>
+<a id="lab120"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">sub_mask</span></span></h2>
 
 </div>
 <div class="code">
@@ -790,7 +790,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab101"></a><h1 class="section">Properties of boolean comparisons</h1>
+<a id="lab121"></a><h1 class="section">Properties of boolean comparisons</h1>
 
 </div>
 <div class="code">
@@ -819,7 +819,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab102"></a><h1 class="section">Properties of comparison on binary positive numbers</h1>
+<a id="lab122"></a><h1 class="section">Properties of comparison on binary positive numbers</h1>
 
 <div class="paragraph"> </div>
 
@@ -1013,7 +1013,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab103"></a><h2 class="section">Facts about <span class="inlinecode"><span class="id" title="var">gt</span></span> and <span class="inlinecode"><span class="id" title="var">ge</span></span></h2>
+<a id="lab123"></a><h2 class="section">Facts about <span class="inlinecode"><span class="id" title="var">gt</span></span> and <span class="inlinecode"><span class="id" title="var">ge</span></span></h2>
 
 <div class="paragraph"> </div>
 
@@ -1046,7 +1046,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab104"></a><h2 class="section">Comparison and the successor</h2>
+<a id="lab124"></a><h2 class="section">Comparison and the successor</h2>
 
 </div>
 <div class="code">
@@ -1072,7 +1072,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab105"></a><h2 class="section">1 is the least positive number</h2>
+<a id="lab125"></a><h2 class="section">1 is the least positive number</h2>
 
 </div>
 <div class="code">
@@ -1090,7 +1090,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab106"></a><h2 class="section">Properties of the order</h2>
+<a id="lab126"></a><h2 class="section">Properties of the order</h2>
 
 </div>
 <div class="code">
@@ -1163,7 +1163,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab107"></a><h2 class="section">Comparison and addition</h2>
+<a id="lab127"></a><h2 class="section">Comparison and addition</h2>
 
 </div>
 <div class="code">
@@ -1178,7 +1178,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab108"></a><h2 class="section">Order and addition</h2>
+<a id="lab128"></a><h2 class="section">Order and addition</h2>
 
 </div>
 <div class="code">
@@ -1208,7 +1208,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab109"></a><h2 class="section">Comparison and multiplication</h2>
+<a id="lab129"></a><h2 class="section">Comparison and multiplication</h2>
 
 </div>
 <div class="code">
@@ -1223,7 +1223,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab110"></a><h2 class="section">Order and multiplication</h2>
+<a id="lab130"></a><h2 class="section">Order and multiplication</h2>
 
 </div>
 <div class="code">
@@ -1259,7 +1259,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab111"></a><h1 class="section">Properties of subtraction on binary positive numbers</h1>
+<a id="lab131"></a><h1 class="section">Properties of subtraction on binary positive numbers</h1>
 
 </div>
 <div class="code">
@@ -1277,7 +1277,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab112"></a><h2 class="section">Properties of subtraction without underflow</h2>
+<a id="lab132"></a><h2 class="section">Properties of subtraction without underflow</h2>
 
 </div>
 <div class="code">
@@ -1375,7 +1375,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab113"></a><h2 class="section">Results concerning <span class="inlinecode"><span class="id" title="var">size</span></span> and <span class="inlinecode"><span class="id" title="var">size_nat</span></span></h2>
+<a id="lab133"></a><h2 class="section">Results concerning <span class="inlinecode"><span class="id" title="var">size</span></span> and <span class="inlinecode"><span class="id" title="var">size_nat</span></span></h2>
 
 </div>
 <div class="code">
@@ -1393,7 +1393,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab114"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">min</span></span> and <span class="inlinecode"><span class="id" title="var">max</span></span></h2>
+<a id="lab134"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">min</span></span> and <span class="inlinecode"><span class="id" title="var">max</span></span></h2>
 
 <div class="paragraph"> </div>
 
@@ -1489,7 +1489,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab115"></a><h2 class="section">Results concerning <span class="inlinecode"><span class="id" title="var">iter_op</span></span></h2>
+<a id="lab135"></a><h2 class="section">Results concerning <span class="inlinecode"><span class="id" title="var">iter_op</span></span></h2>
 
 </div>
 <div class="code">
@@ -1510,7 +1510,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab116"></a><h2 class="section">Results about <span class="inlinecode"><span class="id" title="var">of_nat</span></span> and <span class="inlinecode"><span class="id" title="var">of_succ_nat</span></span></h2>
+<a id="lab136"></a><h2 class="section">Results about <span class="inlinecode"><span class="id" title="var">of_nat</span></span> and <span class="inlinecode"><span class="id" title="var">of_succ_nat</span></span></h2>
 
 </div>
 <div class="code">
@@ -1528,7 +1528,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab117"></a><h2 class="section">Correctness proofs for the square root function</h2>
+<a id="lab137"></a><h2 class="section">Correctness proofs for the square root function</h2>
 
 </div>
 <div class="code">
@@ -1554,7 +1554,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPos</h1>
 </div>
 
 <div class="doc">
-<a id="lab118"></a><h2 class="section">Correctness proofs for the gcd function</h2>
+<a id="lab138"></a><h2 class="section">Correctness proofs for the gcd function</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.PArith.BinPosDef.html b/master/stdlib/Stdlib.PArith.BinPosDef.html
index 1991951fc3..b9b689e1bc 100644
--- a/master/stdlib/Stdlib.PArith.BinPosDef.html
+++ b/master/stdlib/Stdlib.PArith.BinPosDef.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab119"></a><h1 class="section">Binary positive numbers, operations</h1>
+<a id="lab73"></a><h1 class="section">Binary positive numbers, operations</h1>
 
 <div class="paragraph"> </div>
 
@@ -79,7 +79,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab120"></a><h1 class="section">Operations over positive numbers</h1>
+<a id="lab74"></a><h1 class="section">Operations over positive numbers</h1>
 
 </div>
 <div class="code">
@@ -91,7 +91,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab121"></a><h2 class="section">Predecessor</h2>
+<a id="lab75"></a><h2 class="section">Predecessor</h2>
 
 </div>
 <div class="code">
@@ -108,7 +108,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab122"></a><h2 class="section">Predecessor with mask</h2>
+<a id="lab76"></a><h2 class="section">Predecessor with mask</h2>
 
 </div>
 <div class="code">
@@ -132,7 +132,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
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+<a id="lab77"></a><h2 class="section">Power</h2>
 
 </div>
 <div class="code">
@@ -147,7 +147,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab124"></a><h2 class="section">Square</h2>
+<a id="lab78"></a><h2 class="section">Square</h2>
 
 </div>
 <div class="code">
@@ -164,7 +164,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab125"></a><h2 class="section">Number of digits in a positive number</h2>
+<a id="lab79"></a><h2 class="section">Number of digits in a positive number</h2>
 
 </div>
 <div class="code">
@@ -214,7 +214,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab126"></a><h2 class="section">Boolean equality and comparisons</h2>
+<a id="lab80"></a><h2 class="section">Boolean equality and comparisons</h2>
 
 </div>
 <div class="code">
@@ -232,7 +232,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab127"></a><h2 class="section">Greatest Common Divisor</h2>
+<a id="lab81"></a><h2 class="section">Greatest Common Divisor</h2>
 
 </div>
 <div class="code">
@@ -397,7 +397,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab128"></a><h2 class="section">From Peano natural numbers to binary positive numbers</h2>
+<a id="lab82"></a><h2 class="section">From Peano natural numbers to binary positive numbers</h2>
 
 <div class="paragraph"> </div>
 
@@ -417,7 +417,7 @@ <h1 class="libtitle">Library Stdlib.PArith.BinPosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab129"></a><h2 class="section">Conversion with a decimal representation for printing/parsing</h2>
+<a id="lab83"></a><h2 class="section">Conversion with a decimal representation for printing/parsing</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.PArith.POrderedType.html b/master/stdlib/Stdlib.PArith.POrderedType.html
index f86c3fa804..1266851bcb 100644
--- a/master/stdlib/Stdlib.PArith.POrderedType.html
+++ b/master/stdlib/Stdlib.PArith.POrderedType.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.PArith.POrderedType</h1>
 </div>
 
 <div class="doc">
-<a id="lab130"></a><h1 class="section">DecidableType structure for <span class="inlinecode"><span class="id" title="var">positive</span></span> numbers</h1>
+<a id="lab139"></a><h1 class="section">DecidableType structure for <span class="inlinecode"><span class="id" title="var">positive</span></span> numbers</h1>
 
 </div>
 <div class="code">
@@ -70,7 +70,7 @@ <h1 class="libtitle">Library Stdlib.PArith.POrderedType</h1>
     interfaces, such as <span class="inlinecode"><span class="id" title="var">DecidableType</span></span> or <span class="inlinecode"><span class="id" title="var">EqualityType</span></span>. 
 <div class="paragraph"> </div>
 
-<a id="lab131"></a><h1 class="section">OrderedType structure for <span class="inlinecode"><span class="id" title="var">positive</span></span> numbers</h1>
+<a id="lab140"></a><h1 class="section">OrderedType structure for <span class="inlinecode"><span class="id" title="var">positive</span></span> numbers</h1>
 
 </div>
 <div class="code">
@@ -86,7 +86,7 @@ <h1 class="libtitle">Library Stdlib.PArith.POrderedType</h1>
    and a <span class="inlinecode"><span class="id" title="var">OrderedType</span></span> (and also as a <span class="inlinecode"><span class="id" title="var">DecidableType</span></span>). 
 <div class="paragraph"> </div>
 
-<a id="lab132"></a><h1 class="section">An <span class="inlinecode"><span class="id" title="var">order</span></span> tactic for positive numbers</h1>
+<a id="lab141"></a><h1 class="section">An <span class="inlinecode"><span class="id" title="var">order</span></span> tactic for positive numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Program.Combinators.html b/master/stdlib/Stdlib.Program.Combinators.html
index 7637f4c1ad..e4b8bc1dbf 100644
--- a/master/stdlib/Stdlib.Program.Combinators.html
+++ b/master/stdlib/Stdlib.Program.Combinators.html
@@ -46,7 +46,7 @@ <h1 class="libtitle">Library Stdlib.Program.Combinators</h1>
 </div>
 
 <div class="doc">
-<a id="lab551"></a><h1 class="section">Proofs about standard combinators, exports functional extensionality.</h1>
+<a id="lab727"></a><h1 class="section">Proofs about standard combinators, exports functional extensionality.</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.QArith.QArith_base.html b/master/stdlib/Stdlib.QArith.QArith_base.html
index 64ea835cd1..d8e6513ffc 100644
--- a/master/stdlib/Stdlib.QArith.QArith_base.html
+++ b/master/stdlib/Stdlib.QArith.QArith_base.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab635"></a><h1 class="section">Definition of <span class="inlinecode"><span class="id" title="var">Q</span></span> and basic properties</h1>
+<a id="lab1130"></a><h1 class="section">Definition of <span class="inlinecode"><span class="id" title="var">Q</span></span> and basic properties</h1>
 
 <div class="paragraph"> </div>
 
@@ -197,7 +197,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab636"></a><h1 class="section">Properties of equality.</h1>
+<a id="lab1131"></a><h1 class="section">Properties of equality.</h1>
 
 </div>
 <div class="code">
@@ -289,7 +289,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab637"></a><h1 class="section">Addition, multiplication and opposite</h1>
+<a id="lab1132"></a><h1 class="section">Addition, multiplication and opposite</h1>
 
 <div class="paragraph"> </div>
 
@@ -556,7 +556,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab638"></a><h1 class="section">Setoid compatibility results</h1>
+<a id="lab1133"></a><h1 class="section">Setoid compatibility results</h1>
 
 </div>
 <div class="code">
@@ -630,7 +630,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
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+<a id="lab1134"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">Qadd</span></span></h1>
 
 <div class="paragraph"> </div>
 
@@ -670,7 +670,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab640"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">Qopp</span></span></h1>
+<a id="lab1135"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">Qopp</span></span></h1>
 
 </div>
 <div class="code">
@@ -701,7 +701,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab641"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">Qmult</span></span></h1>
+<a id="lab1136"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">Qmult</span></span></h1>
 
 <div class="paragraph"> </div>
 
@@ -783,7 +783,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab642"></a><h1 class="section">inject_Z is a ring homomorphism:</h1>
+<a id="lab1137"></a><h1 class="section">inject_Z is a ring homomorphism:</h1>
 
 </div>
 <div class="code">
@@ -801,7 +801,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab643"></a><h1 class="section">Inverse and division.</h1>
+<a id="lab1138"></a><h1 class="section">Inverse and division.</h1>
 
 </div>
 <div class="code">
@@ -853,11 +853,11 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab644"></a><h1 class="section">Reduction and construction of Q</h1>
+<a id="lab1139"></a><h1 class="section">Reduction and construction of Q</h1>
 
 <div class="paragraph"> </div>
 
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+<a id="lab1140"></a><h2 class="section">Removal/introduction of common factor in both numerator and denominator.</h2>
 
 </div>
 <div class="code">
@@ -902,7 +902,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab646"></a><h2 class="section">Construction of a new rational by multiplication with an integer or pure fraction</h2>
+<a id="lab1141"></a><h2 class="section">Construction of a new rational by multiplication with an integer or pure fraction</h2>
 
 <div class="paragraph"> </div>
 
@@ -928,7 +928,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab647"></a><h1 class="section">Properties of order upon Q.</h1>
+<a id="lab1142"></a><h1 class="section">Properties of order upon Q.</h1>
 
 </div>
 <div class="code">
@@ -1042,7 +1042,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
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+<a id="lab1143"></a><h2 class="section">Some decidability results about orders.</h2>
 
 </div>
 <div class="code">
@@ -1060,7 +1060,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab649"></a><h2 class="section">Compatibility of addition with order</h2>
+<a id="lab1144"></a><h2 class="section">Compatibility of addition with order</h2>
 
 </div>
 <div class="code">
@@ -1113,7 +1113,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab650"></a><h2 class="section">Compatibility of multiplication with order.</h2>
+<a id="lab1145"></a><h2 class="section">Compatibility of multiplication with order.</h2>
 
 </div>
 <div class="code">
@@ -1172,7 +1172,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab651"></a><h2 class="section">Compatibility of inversion and division with order</h2>
+<a id="lab1146"></a><h2 class="section">Compatibility of inversion and division with order</h2>
 
 </div>
 <div class="code">
@@ -1223,7 +1223,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QArith_base</h1>
 </div>
 
 <div class="doc">
-<a id="lab652"></a><h1 class="section">Rational to the n-th power</h1>
+<a id="lab1147"></a><h1 class="section">Rational to the n-th power</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.QArith.QOrderedType.html b/master/stdlib/Stdlib.QArith.QOrderedType.html
index 45632129b0..81f55fd3b4 100644
--- a/master/stdlib/Stdlib.QArith.QOrderedType.html
+++ b/master/stdlib/Stdlib.QArith.QOrderedType.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QOrderedType</h1>
 </div>
 
 <div class="doc">
-<a id="lab653"></a><h1 class="section">DecidableType structure for rational numbers</h1>
+<a id="lab1127"></a><h1 class="section">DecidableType structure for rational numbers</h1>
 
 </div>
 <div class="code">
@@ -92,7 +92,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QOrderedType</h1>
     interfaces, such as <span class="inlinecode"><span class="id" title="var">DecidableType</span></span> or <span class="inlinecode"><span class="id" title="var">EqualityType</span></span>. 
 <div class="paragraph"> </div>
 
-<a id="lab654"></a><h1 class="section">OrderedType structure for rational numbers</h1>
+<a id="lab1128"></a><h1 class="section">OrderedType structure for rational numbers</h1>
 
 </div>
 <div class="code">
@@ -123,7 +123,7 @@ <h1 class="libtitle">Library Stdlib.QArith.QOrderedType</h1>
 </div>
 
 <div class="doc">
-<a id="lab655"></a><h1 class="section">An <span class="inlinecode"><span class="id" title="var">order</span></span> tactic for <span class="inlinecode"><span class="id" title="var">Q</span></span> numbers</h1>
+<a id="lab1129"></a><h1 class="section">An <span class="inlinecode"><span class="id" title="var">order</span></span> tactic for <span class="inlinecode"><span class="id" title="var">Q</span></span> numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.QArith.Qcabs.html b/master/stdlib/Stdlib.QArith.Qcabs.html
index dae1f58c9c..0b3cfebf91 100644
--- a/master/stdlib/Stdlib.QArith.Qcabs.html
+++ b/master/stdlib/Stdlib.QArith.Qcabs.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qcabs</h1>
 </div>
 
 <div class="doc">
-<a id="lab658"></a><h1 class="section">An absolute value for normalized rational numbers.</h1>
+<a id="lab1125"></a><h1 class="section">An absolute value for normalized rational numbers.</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.QArith.Qfield.html b/master/stdlib/Stdlib.QArith.Qfield.html
index dd271410a5..05c5c075d0 100644
--- a/master/stdlib/Stdlib.QArith.Qfield.html
+++ b/master/stdlib/Stdlib.QArith.Qfield.html
@@ -53,7 +53,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qfield</h1>
 </div>
 
 <div class="doc">
-<a id="lab659"></a><h1 class="section">field and ring tactics for rational numbers</h1>
+<a id="lab1126"></a><h1 class="section">field and ring tactics for rational numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.QArith.Qminmax.html b/master/stdlib/Stdlib.QArith.Qminmax.html
index eea40470f1..ed3e3cb6da 100644
--- a/master/stdlib/Stdlib.QArith.Qminmax.html
+++ b/master/stdlib/Stdlib.QArith.Qminmax.html
@@ -51,7 +51,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qminmax</h1>
 </div>
 
 <div class="doc">
-<a id="lab656"></a><h1 class="section">Maximum and Minimum of two rational numbers</h1>
+<a id="lab1148"></a><h1 class="section">Maximum and Minimum of two rational numbers</h1>
 
 </div>
 <div class="code">
@@ -100,7 +100,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qminmax</h1>
 </div>
 
 <div class="doc">
-<a id="lab657"></a><h1 class="section">Properties specific to the <span class="inlinecode"><span class="id" title="var">Q</span></span> domain</h1>
+<a id="lab1149"></a><h1 class="section">Properties specific to the <span class="inlinecode"><span class="id" title="var">Q</span></span> domain</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.QArith.Qpower.html b/master/stdlib/Stdlib.QArith.Qpower.html
index cacbcc6876..d4b3883c9e 100644
--- a/master/stdlib/Stdlib.QArith.Qpower.html
+++ b/master/stdlib/Stdlib.QArith.Qpower.html
@@ -51,11 +51,11 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab616"></a><h1 class="section">Properties of Qpower_positive</h1>
+<a id="lab1106"></a><h1 class="section">Properties of Qpower_positive</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab617"></a><h2 class="section">Values of Qpower_positive for specific arguments</h2>
+<a id="lab1107"></a><h2 class="section">Values of Qpower_positive for specific arguments</h2>
 
 </div>
 <div class="code">
@@ -70,7 +70,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab618"></a><h2 class="section">Relation of Qpower_positive to zero</h2>
+<a id="lab1108"></a><h2 class="section">Relation of Qpower_positive to zero</h2>
 
 </div>
 <div class="code">
@@ -85,7 +85,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab619"></a><h2 class="section">Qpower_positive and multiplication, exponent subtraction</h2>
+<a id="lab1109"></a><h2 class="section">Qpower_positive and multiplication, exponent subtraction</h2>
 
 </div>
 <div class="code">
@@ -100,7 +100,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab620"></a><h2 class="section">Qpower_positive and inversion, division, exponent subtraction</h2>
+<a id="lab1110"></a><h2 class="section">Qpower_positive and inversion, division, exponent subtraction</h2>
 
 </div>
 <div class="code">
@@ -117,7 +117,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab621"></a><h2 class="section">Qpower and exponent multiplication</h2>
+<a id="lab1111"></a><h2 class="section">Qpower and exponent multiplication</h2>
 
 </div>
 <div class="code">
@@ -130,7 +130,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab622"></a><h2 class="section">Qpower_positive decomposition</h2>
+<a id="lab1112"></a><h2 class="section">Qpower_positive decomposition</h2>
 
 </div>
 <div class="code">
@@ -146,11 +146,11 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab623"></a><h1 class="section">Properties of Qpower</h1>
+<a id="lab1113"></a><h1 class="section">Properties of Qpower</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab624"></a><h2 class="section">Values of Qpower for specific arguments</h2>
+<a id="lab1114"></a><h2 class="section">Values of Qpower for specific arguments</h2>
 
 </div>
 <div class="code">
@@ -173,7 +173,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab625"></a><h2 class="section">Relation of Qpower to zero</h2>
+<a id="lab1115"></a><h2 class="section">Relation of Qpower to zero</h2>
 
 </div>
 <div class="code">
@@ -195,7 +195,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab626"></a><h2 class="section">Relation of Qpower to 1</h2>
+<a id="lab1116"></a><h2 class="section">Relation of Qpower to 1</h2>
 
 </div>
 <div class="code">
@@ -220,7 +220,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab627"></a><h2 class="section">Qpower and multiplication, exponent addition</h2>
+<a id="lab1117"></a><h2 class="section">Qpower and multiplication, exponent addition</h2>
 
 </div>
 <div class="code">
@@ -238,7 +238,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab628"></a><h2 class="section">Qpower and inversion, division, exponent subtraction</h2>
+<a id="lab1118"></a><h2 class="section">Qpower and inversion, division, exponent subtraction</h2>
 
 </div>
 <div class="code">
@@ -271,7 +271,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab629"></a><h2 class="section">Qpower and exponent multiplication</h2>
+<a id="lab1119"></a><h2 class="section">Qpower and exponent multiplication</h2>
 
 </div>
 <div class="code">
@@ -283,7 +283,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab630"></a><h2 class="section">Qpower decomposition</h2>
+<a id="lab1120"></a><h2 class="section">Qpower decomposition</h2>
 
 </div>
 <div class="code">
@@ -304,7 +304,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab631"></a><h2 class="section">Compatibility of Qpower with relational operators</h2>
+<a id="lab1121"></a><h2 class="section">Compatibility of Qpower with relational operators</h2>
 
 </div>
 <div class="code">
@@ -329,7 +329,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab632"></a><h2 class="section">Qpower and inject_Z</h2>
+<a id="lab1122"></a><h2 class="section">Qpower and inject_Z</h2>
 
 </div>
 <div class="code">
@@ -341,7 +341,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab633"></a><h2 class="section">Square</h2>
+<a id="lab1123"></a><h2 class="section">Square</h2>
 
 </div>
 <div class="code">
@@ -353,7 +353,7 @@ <h1 class="libtitle">Library Stdlib.QArith.Qpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab634"></a><h2 class="section">Power of 2 positive upper bound</h2>
+<a id="lab1124"></a><h2 class="section">Power of 2 positive upper bound</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.AltSeries.html b/master/stdlib/Stdlib.Reals.AltSeries.html
index d5c9d0e34f..304f2f680d 100644
--- a/master/stdlib/Stdlib.Reals.AltSeries.html
+++ b/master/stdlib/Stdlib.Reals.AltSeries.html
@@ -57,7 +57,7 @@ <h1 class="libtitle">Library Stdlib.Reals.AltSeries</h1>
 </div>
 
 <div class="doc">
-<a id="lab943"></a><h1 class="section">Formalization of alternated series</h1>
+<a id="lab1074"></a><h1 class="section">Formalization of alternated series</h1>
 
 </div>
 <div class="code">
@@ -120,7 +120,7 @@ <h1 class="libtitle">Library Stdlib.Reals.AltSeries</h1>
 </div>
 
 <div class="doc">
-<a id="lab944"></a><h1 class="section">Convergence of alternated series</h1>
+<a id="lab1075"></a><h1 class="section">Convergence of alternated series</h1>
 
 </div>
 <div class="code">
@@ -142,7 +142,7 @@ <h1 class="libtitle">Library Stdlib.Reals.AltSeries</h1>
 </div>
 
 <div class="doc">
-<a id="lab945"></a><h1 class="section">Application : construction of PI</h1>
+<a id="lab1076"></a><h1 class="section">Application : construction of PI</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html
index 11dbebf4d8..9206c5b7d0 100644
--- a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html
+++ b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html
@@ -407,7 +407,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Cauchy.ConstructiveCauchyReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab964"></a><h1 class="section">Algebraic operations</h1>
+<a id="lab982"></a><h1 class="section">Algebraic operations</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html
index 2a80de7b7a..a5f361d571 100644
--- a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html
+++ b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html
@@ -295,7 +295,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult</h1
 </div>
 
 <div class="doc">
-<a id="lab963"></a><h1 class="section">Field</h1>
+<a id="lab988"></a><h1 class="section">Field</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html b/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html
index fc291ba826..7ccaf21f60 100644
--- a/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html
+++ b/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Cauchy.QExtra</h1>
 </div>
 
 <div class="doc">
-<a id="lab958"></a><h1 class="section">Power of 2 open and closed upper and lower bounds for <span class="inlinecode"><span class="id" title="var">q</span></span> <span class="inlinecode">:</span> <span class="inlinecode"><span class="id" title="var">Q</span></span></h1>
+<a id="lab983"></a><h1 class="section">Power of 2 open and closed upper and lower bounds for <span class="inlinecode"><span class="id" title="var">q</span></span> <span class="inlinecode">:</span> <span class="inlinecode"><span class="id" title="var">Q</span></span></h1>
 
 </div>
 <div class="code">
@@ -95,7 +95,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Cauchy.QExtra</h1>
 </div>
 
 <div class="doc">
-<a id="lab959"></a><h2 class="section">Power of two closed upper bound <span class="inlinecode"><span class="id" title="var">q</span></span> <span class="inlinecode">&lt;=</span> <span class="inlinecode">2^<span class="id" title="var">z</span></span></h2>
+<a id="lab984"></a><h2 class="section">Power of two closed upper bound <span class="inlinecode"><span class="id" title="var">q</span></span> <span class="inlinecode">&lt;=</span> <span class="inlinecode">2^<span class="id" title="var">z</span></span></h2>
 
 </div>
 <div class="code">
@@ -124,7 +124,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Cauchy.QExtra</h1>
 </div>
 
 <div class="doc">
-<a id="lab960"></a><h2 class="section">Power of two open upper bound <span class="inlinecode"><span class="id" title="var">q</span></span> <span class="inlinecode">&lt;</span> <span class="inlinecode">2^<span class="id" title="var">z</span></span> and <span class="inlinecode"><span class="id" title="var">Qabs</span></span> <span class="inlinecode"><span class="id" title="var">q</span></span> <span class="inlinecode">&lt;</span> <span class="inlinecode">2^<span class="id" title="var">z</span></span></h2>
+<a id="lab985"></a><h2 class="section">Power of two open upper bound <span class="inlinecode"><span class="id" title="var">q</span></span> <span class="inlinecode">&lt;</span> <span class="inlinecode">2^<span class="id" title="var">z</span></span> and <span class="inlinecode"><span class="id" title="var">Qabs</span></span> <span class="inlinecode"><span class="id" title="var">q</span></span> <span class="inlinecode">&lt;</span> <span class="inlinecode">2^<span class="id" title="var">z</span></span></h2>
 
 <div class="paragraph"> </div>
 
@@ -170,7 +170,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Cauchy.QExtra</h1>
 </div>
 
 <div class="doc">
-<a id="lab961"></a><h2 class="section">Power of 2 open lower bounds for <span class="inlinecode">2^<span class="id" title="var">z</span></span> <span class="inlinecode">&lt;</span> <span class="inlinecode"><span class="id" title="var">q</span></span> and <span class="inlinecode">2^<span class="id" title="var">z</span></span> <span class="inlinecode">&lt;</span> <span class="inlinecode"><span class="id" title="var">Qabs</span></span> <span class="inlinecode"><span class="id" title="var">q</span></span></h2>
+<a id="lab986"></a><h2 class="section">Power of 2 open lower bounds for <span class="inlinecode">2^<span class="id" title="var">z</span></span> <span class="inlinecode">&lt;</span> <span class="inlinecode"><span class="id" title="var">q</span></span> and <span class="inlinecode">2^<span class="id" title="var">z</span></span> <span class="inlinecode">&lt;</span> <span class="inlinecode"><span class="id" title="var">Qabs</span></span> <span class="inlinecode"><span class="id" title="var">q</span></span></h2>
 
 <div class="paragraph"> </div>
 
@@ -201,7 +201,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Cauchy.QExtra</h1>
 </div>
 
 <div class="doc">
-<a id="lab962"></a><h2 class="section">Existential formulations of power of 2 lower and upper bounds</h2>
+<a id="lab987"></a><h2 class="section">Existential formulations of power of 2 lower and upper bounds</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html b/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html
index 022fc8a444..5c44a51199 100644
--- a/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html
+++ b/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html
@@ -62,7 +62,7 @@ <h1 class="libtitle">Library Stdlib.Reals.ClassicalDedekindReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab1064"></a><h1 class="section">Q Auxiliary Lemmas</h1>
+<a id="lab994"></a><h1 class="section">Q Auxiliary Lemmas</h1>
 
 </div>
 <div class="code">
@@ -85,11 +85,11 @@ <h1 class="libtitle">Library Stdlib.Reals.ClassicalDedekindReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab1065"></a><h1 class="section">Dedekind cuts</h1>
+<a id="lab995"></a><h1 class="section">Dedekind cuts</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab1066"></a><h2 class="section">Definition</h2>
+<a id="lab996"></a><h2 class="section">Definition</h2>
 
 <div class="paragraph"> </div>
 
@@ -131,7 +131,7 @@ <h1 class="libtitle">Library Stdlib.Reals.ClassicalDedekindReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab1067"></a><h2 class="section">Properties</h2>
+<a id="lab997"></a><h2 class="section">Properties</h2>
 
 </div>
 <div class="code">
@@ -163,11 +163,11 @@ <h1 class="libtitle">Library Stdlib.Reals.ClassicalDedekindReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab1068"></a><h1 class="section">Classical Dedekind reals</h1>
+<a id="lab998"></a><h1 class="section">Classical Dedekind reals</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab1069"></a><h2 class="section">Definition</h2>
+<a id="lab999"></a><h2 class="section">Definition</h2>
 
 </div>
 <div class="code">
@@ -180,7 +180,7 @@ <h1 class="libtitle">Library Stdlib.Reals.ClassicalDedekindReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab1070"></a><h2 class="section">Induction principle</h2>
+<a id="lab1000"></a><h2 class="section">Induction principle</h2>
 
 </div>
 <div class="code">
@@ -194,11 +194,11 @@ <h1 class="libtitle">Library Stdlib.Reals.ClassicalDedekindReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab1071"></a><h2 class="section">Conversion to and from constructive Cauchy real CReal</h2>
+<a id="lab1001"></a><h2 class="section">Conversion to and from constructive Cauchy real CReal</h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab1072"></a><h3 class="section">Conversion from CReal to DReal</h3>
+<a id="lab1002"></a><h3 class="section">Conversion from CReal to DReal</h3>
 
 </div>
 <div class="code">
@@ -217,7 +217,7 @@ <h1 class="libtitle">Library Stdlib.Reals.ClassicalDedekindReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab1073"></a><h3 class="section">Conversion from DReal to CReal</h3>
+<a id="lab1003"></a><h3 class="section">Conversion from DReal to CReal</h3>
 
 </div>
 <div class="code">
@@ -268,7 +268,7 @@ <h1 class="libtitle">Library Stdlib.Reals.ClassicalDedekindReals</h1>
 </div>
 
 <div class="doc">
-<a id="lab1074"></a><h2 class="section">Order for DReal</h2>
+<a id="lab1004"></a><h2 class="section">Order for DReal</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.RIneq.html b/master/stdlib/Stdlib.Reals.RIneq.html
index b5d95b44f8..f47252b368 100644
--- a/master/stdlib/Stdlib.Reals.RIneq.html
+++ b/master/stdlib/Stdlib.Reals.RIneq.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab972"></a><h1 class="section">Basic lemmas for the classical real numbers</h1>
+<a id="lab927"></a><h1 class="section">Basic lemmas for the classical real numbers</h1>
 
 <div class="paragraph"> </div>
 
@@ -136,7 +136,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab973"></a><h2 class="section">Relation between orders and equality</h2>
+<a id="lab928"></a><h2 class="section">Relation between orders and equality</h2>
 
 <div class="paragraph"> </div>
 
@@ -226,7 +226,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab974"></a><h2 class="section">Strong decidable equality</h2>
+<a id="lab929"></a><h2 class="section">Strong decidable equality</h2>
 
 </div>
 <div class="code">
@@ -238,11 +238,11 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab975"></a><h2 class="section">Relating <span class="inlinecode">&lt;</span>, <span class="inlinecode">&gt;</span>, <span class="inlinecode">&lt;=</span> and <span class="inlinecode">&gt;=</span></h2>
+<a id="lab930"></a><h2 class="section">Relating <span class="inlinecode">&lt;</span>, <span class="inlinecode">&gt;</span>, <span class="inlinecode">&lt;=</span> and <span class="inlinecode">&gt;=</span></h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab976"></a><h3 class="section">Relating strict and large orders</h3>
+<a id="lab931"></a><h3 class="section">Relating strict and large orders</h3>
 
 </div>
 <div class="code">
@@ -347,7 +347,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab977"></a><h3 class="section">Asymmetry</h3>
+<a id="lab932"></a><h3 class="section">Asymmetry</h3>
 
 <div class="paragraph"> </div>
 
@@ -368,7 +368,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab978"></a><h3 class="section">Antisymmetry</h3>
+<a id="lab933"></a><h3 class="section">Antisymmetry</h3>
 
 </div>
 <div class="code">
@@ -397,7 +397,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab979"></a><h3 class="section">Compatibility with equality</h3>
+<a id="lab934"></a><h3 class="section">Compatibility with equality</h3>
 
 </div>
 <div class="code">
@@ -414,7 +414,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab980"></a><h3 class="section">Transitivity</h3>
+<a id="lab935"></a><h3 class="section">Transitivity</h3>
 
 <div class="paragraph"> </div>
 
@@ -457,7 +457,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab981"></a><h3 class="section">(Classical) decidability with sumbool types</h3>
+<a id="lab936"></a><h3 class="section">(Classical) decidability with sumbool types</h3>
 
 </div>
 <div class="code">
@@ -508,7 +508,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab982"></a><h3 class="section">Same theorems with disjunctions instead of sumbools</h3>
+<a id="lab937"></a><h3 class="section">Same theorems with disjunctions instead of sumbools</h3>
 
 </div>
 <div class="code">
@@ -562,7 +562,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab983"></a><h2 class="section">Addition</h2>
+<a id="lab938"></a><h2 class="section">Addition</h2>
 
 </div>
 <div class="code">
@@ -636,7 +636,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab984"></a><h2 class="section">Opposite</h2>
+<a id="lab939"></a><h2 class="section">Opposite</h2>
 
 </div>
 <div class="code">
@@ -678,7 +678,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab985"></a><h2 class="section">Multiplication</h2>
+<a id="lab940"></a><h2 class="section">Multiplication</h2>
 
 </div>
 <div class="code">
@@ -794,7 +794,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab986"></a><h2 class="section">Opposite and multiplication</h2>
+<a id="lab941"></a><h2 class="section">Opposite and multiplication</h2>
 
 </div>
 <div class="code">
@@ -822,7 +822,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab987"></a><h2 class="section">Subtraction</h2>
+<a id="lab942"></a><h2 class="section">Subtraction</h2>
 
 </div>
 <div class="code">
@@ -934,7 +934,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab988"></a><h2 class="section">Inverse</h2>
+<a id="lab943"></a><h2 class="section">Inverse</h2>
 
 </div>
 <div class="code">
@@ -988,7 +988,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab989"></a><h2 class="section">Square function</h2>
+<a id="lab944"></a><h2 class="section">Square function</h2>
 
 </div>
 <div class="code">
@@ -1010,11 +1010,11 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab990"></a><h2 class="section">Order and addition</h2>
+<a id="lab945"></a><h2 class="section">Order and addition</h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab991"></a><h3 class="section">Compatibility</h3>
+<a id="lab946"></a><h3 class="section">Compatibility</h3>
 
 <div class="paragraph"> </div>
 
@@ -1115,7 +1115,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab992"></a><h3 class="section">Cancellation</h3>
+<a id="lab947"></a><h3 class="section">Cancellation</h3>
 
 </div>
 <div class="code">
@@ -1167,7 +1167,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab993"></a><h3 class="section">Comparison of addition with left operand</h3>
+<a id="lab948"></a><h3 class="section">Comparison of addition with left operand</h3>
 
 </div>
 <div class="code">
@@ -1188,7 +1188,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab994"></a><h3 class="section">Sign of addition</h3>
+<a id="lab949"></a><h3 class="section">Sign of addition</h3>
 
 </div>
 <div class="code">
@@ -1221,11 +1221,11 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab995"></a><h2 class="section">Order and opposite</h2>
+<a id="lab950"></a><h2 class="section">Order and opposite</h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab996"></a><h3 class="section">Contravariant compatibility</h3>
+<a id="lab951"></a><h3 class="section">Contravariant compatibility</h3>
 
 </div>
 <div class="code">
@@ -1301,7 +1301,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab997"></a><h3 class="section">Cancellation</h3>
+<a id="lab952"></a><h3 class="section">Cancellation</h3>
 
 </div>
 <div class="code">
@@ -1326,7 +1326,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab998"></a><h3 class="section">Sign of opposite</h3>
+<a id="lab953"></a><h3 class="section">Sign of opposite</h3>
 
 </div>
 <div class="code">
@@ -1341,14 +1341,14 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab999"></a><h2 class="section">Order and multiplication</h2>
+<a id="lab954"></a><h2 class="section">Order and multiplication</h2>
 
 <div class="paragraph"> </div>
 
  Remark: <span class="inlinecode"><span class="id" title="var">Rmult_lt_compat_l</span></span> is in <span class="inlinecode"><span class="id" title="var">Raxioms.v</span></span> 
 <div class="paragraph"> </div>
 
-<a id="lab1000"></a><h3 class="section">Covariant compatibility</h3>
+<a id="lab955"></a><h3 class="section">Covariant compatibility</h3>
 
 </div>
 <div class="code">
@@ -1419,7 +1419,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1001"></a><h3 class="section">Contravariant compatibility</h3>
+<a id="lab956"></a><h3 class="section">Contravariant compatibility</h3>
 
 </div>
 <div class="code">
@@ -1444,7 +1444,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1002"></a><h3 class="section">Sign of multiplication</h3>
+<a id="lab957"></a><h3 class="section">Sign of multiplication</h3>
 
 </div>
 <div class="code">
@@ -1479,7 +1479,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1003"></a><h3 class="section">Order and square function</h3>
+<a id="lab958"></a><h3 class="section">Order and square function</h3>
 
 </div>
 <div class="code">
@@ -1500,7 +1500,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1004"></a><h3 class="section">Zero is less than one</h3>
+<a id="lab959"></a><h3 class="section">Zero is less than one</h3>
 
 </div>
 <div class="code">
@@ -1517,7 +1517,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1005"></a><h3 class="section">Sign of inverse</h3>
+<a id="lab960"></a><h3 class="section">Sign of inverse</h3>
 
 </div>
 <div class="code">
@@ -1536,7 +1536,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1006"></a><h3 class="section">Cancellation in inequalities of products</h3>
+<a id="lab961"></a><h3 class="section">Cancellation in inequalities of products</h3>
 
 </div>
 <div class="code">
@@ -1563,7 +1563,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1007"></a><h3 class="section">Order and inverse</h3>
+<a id="lab962"></a><h3 class="section">Order and inverse</h3>
 
 </div>
 <div class="code">
@@ -1594,7 +1594,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1008"></a><h3 class="section">Sign of inverse</h3>
+<a id="lab963"></a><h3 class="section">Sign of inverse</h3>
 
 </div>
 <div class="code">
@@ -1609,7 +1609,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1009"></a><h2 class="section">Order and subtraction</h2>
+<a id="lab964"></a><h2 class="section">Order and subtraction</h2>
 
 </div>
 <div class="code">
@@ -1653,7 +1653,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1010"></a><h2 class="section">Division</h2>
+<a id="lab965"></a><h2 class="section">Division</h2>
 
 </div>
 <div class="code">
@@ -1753,7 +1753,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1011"></a><h3 class="section">Sign of division</h3>
+<a id="lab966"></a><h3 class="section">Sign of division</h3>
 
 </div>
 <div class="code">
@@ -1778,7 +1778,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1012"></a><h2 class="section">Miscellaneous</h2>
+<a id="lab967"></a><h2 class="section">Miscellaneous</h2>
 
 </div>
 <div class="code">
@@ -1832,7 +1832,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1013"></a><h2 class="section">Injection from <span class="inlinecode"><span class="id" title="var">nat</span></span> to <span class="inlinecode"><span class="id" title="var">R</span></span></h2>
+<a id="lab968"></a><h2 class="section">Injection from <span class="inlinecode"><span class="id" title="var">nat</span></span> to <span class="inlinecode"><span class="id" title="var">R</span></span></h2>
 
 </div>
 <div class="code">
@@ -1931,7 +1931,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1014"></a><h2 class="section">Injection from <span class="inlinecode"><span class="id" title="var">positive</span></span> to <span class="inlinecode"><span class="id" title="var">R</span></span></h2>
+<a id="lab969"></a><h2 class="section">Injection from <span class="inlinecode"><span class="id" title="var">positive</span></span> to <span class="inlinecode"><span class="id" title="var">R</span></span></h2>
 
 </div>
 <div class="code">
@@ -2012,7 +2012,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1015"></a><h2 class="section">Injection from <span class="inlinecode"><span class="id" title="var">Z</span></span> to <span class="inlinecode"><span class="id" title="var">R</span></span></h2>
+<a id="lab970"></a><h2 class="section">Injection from <span class="inlinecode"><span class="id" title="var">Z</span></span> to <span class="inlinecode"><span class="id" title="var">R</span></span></h2>
 
 </div>
 <div class="code">
@@ -2149,7 +2149,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1016"></a><h1 class="section">Definitions of new types</h1>
+<a id="lab971"></a><h1 class="section">Definitions of new types</h1>
 
 </div>
 <div class="code">
@@ -2176,7 +2176,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1017"></a><h2 class="section">A few common instances</h2>
+<a id="lab972"></a><h2 class="section">A few common instances</h2>
 
 </div>
 <div class="code">
@@ -2192,7 +2192,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RIneq</h1>
 </div>
 
 <div class="doc">
-<a id="lab1018"></a><h1 class="section">Compatibility</h1>
+<a id="lab973"></a><h1 class="section">Compatibility</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.ROrderedType.html b/master/stdlib/Stdlib.Reals.ROrderedType.html
index cd5d71bda6..c9c8a3e3f7 100644
--- a/master/stdlib/Stdlib.Reals.ROrderedType.html
+++ b/master/stdlib/Stdlib.Reals.ROrderedType.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.Reals.ROrderedType</h1>
 </div>
 
 <div class="doc">
-<a id="lab1075"></a><h1 class="section">DecidableType structure for real numbers</h1>
+<a id="lab907"></a><h1 class="section">DecidableType structure for real numbers</h1>
 
 </div>
 <div class="code">
@@ -89,7 +89,7 @@ <h1 class="libtitle">Library Stdlib.Reals.ROrderedType</h1>
     and a <span class="inlinecode"><span class="id" title="var">DecidableTypeOrig</span></span>. 
 <div class="paragraph"> </div>
 
-<a id="lab1076"></a><h1 class="section">OrderedType structure for binary integers</h1>
+<a id="lab908"></a><h1 class="section">OrderedType structure for binary integers</h1>
 
 </div>
 <div class="code">
@@ -137,7 +137,7 @@ <h1 class="libtitle">Library Stdlib.Reals.ROrderedType</h1>
    and a <span class="inlinecode"><span class="id" title="var">OrderedType</span></span> (and also as a <span class="inlinecode"><span class="id" title="var">DecidableType</span></span>). 
 <div class="paragraph"> </div>
 
-<a id="lab1077"></a><h1 class="section">An <span class="inlinecode"><span class="id" title="var">order</span></span> tactic for real numbers</h1>
+<a id="lab909"></a><h1 class="section">An <span class="inlinecode"><span class="id" title="var">order</span></span> tactic for real numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.R_Ifp.html b/master/stdlib/Stdlib.Reals.R_Ifp.html
index a8af54c1bc..5ea75eb633 100644
--- a/master/stdlib/Stdlib.Reals.R_Ifp.html
+++ b/master/stdlib/Stdlib.Reals.R_Ifp.html
@@ -61,7 +61,7 @@ <h1 class="libtitle">Library Stdlib.Reals.R_Ifp</h1>
 </div>
 
 <div class="doc">
-<a id="lab1119"></a><h1 class="section">Fractional part</h1>
+<a id="lab1077"></a><h1 class="section">Fractional part</h1>
 
 <div class="paragraph"> </div>
 
@@ -96,7 +96,7 @@ <h1 class="libtitle">Library Stdlib.Reals.R_Ifp</h1>
 </div>
 
 <div class="doc">
-<a id="lab1120"></a><h1 class="section">Properties</h1>
+<a id="lab1078"></a><h1 class="section">Properties</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Reals.R_sqrt.html b/master/stdlib/Stdlib.Reals.R_sqrt.html
index b2deca51df..c62fbe9f62 100644
--- a/master/stdlib/Stdlib.Reals.R_sqrt.html
+++ b/master/stdlib/Stdlib.Reals.R_sqrt.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.Reals.R_sqrt</h1>
 </div>
 
 <div class="doc">
-<a id="lab1088"></a><h1 class="section">Continuous extension of Rsqrt on R</h1>
+<a id="lab1056"></a><h1 class="section">Continuous extension of Rsqrt on R</h1>
 
 </div>
 <div class="code">
@@ -195,7 +195,7 @@ <h1 class="libtitle">Library Stdlib.Reals.R_sqrt</h1>
 </div>
 
 <div class="doc">
-<a id="lab1089"></a><h1 class="section">Resolution of <span class="inlinecode"><span class="id" title="var">a</span>*<span class="id" title="var">X</span>^2+<span class="id" title="var">b</span>*<span class="id" title="var">X</span>+<span class="id" title="var">c</span>=0</span></h1>
+<a id="lab1057"></a><h1 class="section">Resolution of <span class="inlinecode"><span class="id" title="var">a</span>*<span class="id" title="var">X</span>^2+<span class="id" title="var">b</span>*<span class="id" title="var">X</span>+<span class="id" title="var">c</span>=0</span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Ranalysis1.html b/master/stdlib/Stdlib.Reals.Ranalysis1.html
index 5f66349f4c..26741c4d31 100644
--- a/master/stdlib/Stdlib.Reals.Ranalysis1.html
+++ b/master/stdlib/Stdlib.Reals.Ranalysis1.html
@@ -56,7 +56,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1090"></a><h1 class="section">Basic operations on functions</h1>
+<a id="lab910"></a><h1 class="section">Basic operations on functions</h1>
 
 </div>
 <div class="code">
@@ -105,7 +105,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1091"></a><h1 class="section">Variations of functions</h1>
+<a id="lab911"></a><h1 class="section">Variations of functions</h1>
 
 </div>
 <div class="code">
@@ -126,7 +126,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1092"></a><h1 class="section">Definition of continuity as a limit</h1>
+<a id="lab912"></a><h1 class="section">Definition of continuity as a limit</h1>
 
 <div class="paragraph"> </div>
 
@@ -230,7 +230,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1093"></a><h1 class="section">Derivative's definition using Landau's kernel</h1>
+<a id="lab913"></a><h1 class="section">Derivative's definition using Landau's kernel</h1>
 
 </div>
 <div class="code">
@@ -270,7 +270,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1094"></a><h1 class="section">Class of differential functions</h1>
+<a id="lab914"></a><h1 class="section">Class of differential functions</h1>
 
 </div>
 <div class="code">
@@ -326,7 +326,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1095"></a><h1 class="section">Equivalence of this definition with the one using limit concept</h1>
+<a id="lab915"></a><h1 class="section">Equivalence of this definition with the one using limit concept</h1>
 
 </div>
 <div class="code">
@@ -357,7 +357,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1096"></a><h1 class="section">derivability -&gt; continuity</h1>
+<a id="lab916"></a><h1 class="section">derivability -&gt; continuity</h1>
 
 </div>
 <div class="code">
@@ -375,11 +375,11 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1097"></a><h1 class="section">Main rules</h1>
+<a id="lab917"></a><h1 class="section">Main rules</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab1098"></a><h2 class="section">Rules for derivable_pt_lim (value of the derivative at a point)</h2>
+<a id="lab918"></a><h2 class="section">Rules for derivable_pt_lim (value of the derivative at a point)</h2>
 
 </div>
 <div class="code">
@@ -457,7 +457,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1099"></a><h2 class="section">Rules for derivable_pt (derivability at a point)</h2>
+<a id="lab919"></a><h2 class="section">Rules for derivable_pt (derivability at a point)</h2>
 
 </div>
 <div class="code">
@@ -523,7 +523,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1100"></a><h2 class="section">Rules for derivable (derivability on whole domain)</h2>
+<a id="lab920"></a><h2 class="section">Rules for derivable (derivability on whole domain)</h2>
 
 </div>
 <div class="code">
@@ -567,7 +567,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1101"></a><h2 class="section">Rules for derive_pt (derivative function on whole domain)</h2>
+<a id="lab921"></a><h2 class="section">Rules for derive_pt (derivative function on whole domain)</h2>
 
 </div>
 <div class="code">
@@ -637,7 +637,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1102"></a><h2 class="section">Definition and derivative of power function with natural number exponent</h2>
+<a id="lab922"></a><h2 class="section">Definition and derivative of power function with natural number exponent</h2>
 
 </div>
 <div class="code">
@@ -671,7 +671,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1103"></a><h2 class="section">Irrelevance of derivability proof for derivative</h2>
+<a id="lab923"></a><h2 class="section">Irrelevance of derivability proof for derivative</h2>
 
 </div>
 <div class="code">
@@ -699,7 +699,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis1</h1>
 </div>
 
 <div class="doc">
-<a id="lab1104"></a><h1 class="section">Local extremum's condition</h1>
+<a id="lab924"></a><h1 class="section">Local extremum's condition</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Ranalysis5.html b/master/stdlib/Stdlib.Reals.Ranalysis5.html
index 4c5aa849ac..1e4719e336 100644
--- a/master/stdlib/Stdlib.Reals.Ranalysis5.html
+++ b/master/stdlib/Stdlib.Reals.Ranalysis5.html
@@ -62,7 +62,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis5</h1>
 </div>
 
 <div class="doc">
-<a id="lab952"></a><h1 class="section">Preliminaries lemmas</h1>
+<a id="lab976"></a><h1 class="section">Preliminaries lemmas</h1>
 
 </div>
 <div class="code">
@@ -138,11 +138,11 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis5</h1>
 </div>
 
 <div class="doc">
-<a id="lab953"></a><h2 class="section">The derivative of a reciprocal function</h2>
+<a id="lab977"></a><h2 class="section">The derivative of a reciprocal function</h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab954"></a><h1 class="section">Continuity of the reciprocal function</h1>
+<a id="lab978"></a><h1 class="section">Continuity of the reciprocal function</h1>
 
 </div>
 <div class="code">
@@ -170,7 +170,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis5</h1>
 </div>
 
 <div class="doc">
-<a id="lab955"></a><h1 class="section">Derivability of the reciprocal function</h1>
+<a id="lab979"></a><h1 class="section">Derivability of the reciprocal function</h1>
 
 </div>
 <div class="code">
@@ -244,7 +244,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis5</h1>
 </div>
 
 <div class="doc">
-<a id="lab956"></a><h1 class="section">Value of the derivative of the reciprocal function</h1>
+<a id="lab980"></a><h1 class="section">Value of the derivative of the reciprocal function</h1>
 
 </div>
 <div class="code">
@@ -320,7 +320,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ranalysis5</h1>
 </div>
 
 <div class="doc">
-<a id="lab957"></a><h1 class="section">Existence of the derivative of a function which is the limit of a sequence of functions</h1>
+<a id="lab981"></a><h1 class="section">Existence of the derivative of a function which is the limit of a sequence of functions</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Ratan.html b/master/stdlib/Stdlib.Reals.Ratan.html
index 347a8a2918..09422f9a39 100644
--- a/master/stdlib/Stdlib.Reals.Ratan.html
+++ b/master/stdlib/Stdlib.Reals.Ratan.html
@@ -68,11 +68,11 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1039"></a><h1 class="section">Preliminaries</h1>
+<a id="lab1031"></a><h1 class="section">Preliminaries</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab1040"></a><h2 class="section">Various generic lemmas which probably should go somewhere else</h2>
+<a id="lab1032"></a><h2 class="section">Various generic lemmas which probably should go somewhere else</h2>
 
 </div>
 <div class="code">
@@ -120,11 +120,11 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1041"></a><h2 class="section">Properties of tangent</h2>
+<a id="lab1033"></a><h2 class="section">Properties of tangent</h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab1042"></a><h3 class="section">Derivative of tangent</h3>
+<a id="lab1034"></a><h3 class="section">Derivative of tangent</h3>
 
 </div>
 <div class="code">
@@ -142,7 +142,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1043"></a><h3 class="section">Proof that tangent is a bijection</h3>
+<a id="lab1035"></a><h3 class="section">Proof that tangent is a bijection</h3>
 
 </div>
 <div class="code">
@@ -192,11 +192,11 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1044"></a><h1 class="section">Definition of arctangent</h1>
+<a id="lab1036"></a><h1 class="section">Definition of arctangent</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab1045"></a><h2 class="section">Definition of arctangent as the reciprocal function of tangent and proof of this status</h2>
+<a id="lab1037"></a><h2 class="section">Definition of arctangent as the reciprocal function of tangent and proof of this status</h2>
 
 </div>
 <div class="code">
@@ -269,7 +269,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1046"></a><h2 class="section">Derivative of arctangent</h2>
+<a id="lab1038"></a><h2 class="section">Derivative of arctangent</h2>
 
 </div>
 <div class="code">
@@ -286,7 +286,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1047"></a><h2 class="section">Definition of the arctangent function as the sum of the arctan power series</h2>
+<a id="lab1039"></a><h2 class="section">Definition of the arctangent function as the sum of the arctan power series</h2>
 
 </div>
 <div class="code">
@@ -334,7 +334,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1048"></a><h2 class="section">Proof of the equivalence of the two definitions between -1 and 1</h2>
+<a id="lab1040"></a><h2 class="section">Proof of the equivalence of the two definitions between -1 and 1</h2>
 
 </div>
 <div class="code">
@@ -473,7 +473,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1049"></a><h2 class="section">Relation between arctangent and sine and cosine</h2>
+<a id="lab1041"></a><h2 class="section">Relation between arctangent and sine and cosine</h2>
 
 </div>
 <div class="code">
@@ -490,7 +490,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1050"></a><h1 class="section">Definition of arcsine based on arctangent</h1>
+<a id="lab1042"></a><h1 class="section">Definition of arcsine based on arctangent</h1>
 
 <div class="paragraph"> </div>
 
@@ -508,7 +508,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1051"></a><h2 class="section">Relation between arcsin and arctangent</h2>
+<a id="lab1043"></a><h2 class="section">Relation between arcsin and arctangent</h2>
 
 </div>
 <div class="code">
@@ -521,7 +521,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1052"></a><h2 class="section">arcsine of specific values</h2>
+<a id="lab1044"></a><h2 class="section">arcsine of specific values</h2>
 
 </div>
 <div class="code">
@@ -543,7 +543,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1053"></a><h2 class="section">Bounds of arcsine</h2>
+<a id="lab1045"></a><h2 class="section">Bounds of arcsine</h2>
 
 </div>
 <div class="code">
@@ -560,7 +560,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1054"></a><h2 class="section">arcsine is the left and right inverse of sine</h2>
+<a id="lab1046"></a><h2 class="section">arcsine is the left and right inverse of sine</h2>
 
 </div>
 <div class="code">
@@ -577,7 +577,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1055"></a><h2 class="section">Relation between arcsin, cosine and tangent</h2>
+<a id="lab1047"></a><h2 class="section">Relation between arcsin, cosine and tangent</h2>
 
 </div>
 <div class="code">
@@ -594,7 +594,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1056"></a><h2 class="section">Derivative of arcsine</h2>
+<a id="lab1048"></a><h2 class="section">Derivative of arcsine</h2>
 
 </div>
 <div class="code">
@@ -611,7 +611,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1057"></a><h1 class="section">Definition of arccosine based on arctangent</h1>
+<a id="lab1049"></a><h1 class="section">Definition of arccosine based on arctangent</h1>
 
 <div class="paragraph"> </div>
 
@@ -629,7 +629,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1058"></a><h2 class="section">Relation between arccosine, arcsine and arctangent</h2>
+<a id="lab1050"></a><h2 class="section">Relation between arccosine, arcsine and arctangent</h2>
 
 </div>
 <div class="code">
@@ -650,7 +650,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1059"></a><h2 class="section">arccosine of specific values</h2>
+<a id="lab1051"></a><h2 class="section">arccosine of specific values</h2>
 
 </div>
 <div class="code">
@@ -672,7 +672,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1060"></a><h2 class="section">Bounds of arccosine</h2>
+<a id="lab1052"></a><h2 class="section">Bounds of arccosine</h2>
 
 </div>
 <div class="code">
@@ -689,7 +689,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1061"></a><h2 class="section">arccosine is the left and right inverse of cosine</h2>
+<a id="lab1053"></a><h2 class="section">arccosine is the left and right inverse of cosine</h2>
 
 </div>
 <div class="code">
@@ -706,7 +706,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Ratan</h1>
 </div>
 
 <div class="doc">
-<a id="lab1062"></a><h2 class="section">Relation between arccosine, sine and tangent</h2>
+<a id="lab1054"></a><h2 class="section">Relation between arccosine, sine and tangent</h2>
 
 </div>
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 </div>
 
 <div class="doc">
-<a id="lab1063"></a><h2 class="section">Derivative of arccosine</h2>
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diff --git a/master/stdlib/Stdlib.Reals.Raxioms.html b/master/stdlib/Stdlib.Reals.Raxioms.html
index ee8ab1b320..ad8f5b7442 100644
--- a/master/stdlib/Stdlib.Reals.Raxioms.html
+++ b/master/stdlib/Stdlib.Reals.Raxioms.html
@@ -68,11 +68,11 @@ <h1 class="libtitle">Library Stdlib.Reals.Raxioms</h1>
 </div>
 
 <div class="doc">
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 </div>
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 <div class="doc">
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 <div class="doc">
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 <div class="paragraph"> </div>
 
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 <div class="doc">
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+<a id="lab1016"></a><h2 class="section">Lower</h2>
 
 <div class="paragraph"> </div>
 
@@ -221,7 +221,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Raxioms</h1>
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 <div class="doc">
-<a id="lab1030"></a><h1 class="section">Injection from N to R</h1>
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 </div>
 
 <div class="doc">
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 </div>
 <div class="code">
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 </div>
 
 <div class="doc">
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+<a id="lab1019"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">R</span></span> Complete</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Reals.Rbasic_fun.html b/master/stdlib/Stdlib.Reals.Rbasic_fun.html
index 1c6649c605..9a48f77e02 100644
--- a/master/stdlib/Stdlib.Reals.Rbasic_fun.html
+++ b/master/stdlib/Stdlib.Reals.Rbasic_fun.html
@@ -64,7 +64,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rbasic_fun</h1>
 </div>
 
 <div class="doc">
-<a id="lab1109"></a><h1 class="section">Rmin</h1>
+<a id="lab1008"></a><h1 class="section">Rmin</h1>
 
 <div class="paragraph"> </div>
 
@@ -130,7 +130,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rbasic_fun</h1>
 </div>
 
 <div class="doc">
-<a id="lab1110"></a><h1 class="section">Rmax</h1>
+<a id="lab1009"></a><h1 class="section">Rmax</h1>
 
 <div class="paragraph"> </div>
 
@@ -202,7 +202,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rbasic_fun</h1>
 </div>
 
 <div class="doc">
-<a id="lab1111"></a><h1 class="section">Rabsolu</h1>
+<a id="lab1010"></a><h1 class="section">Rabsolu</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Reals.Rdefinitions.html b/master/stdlib/Stdlib.Reals.Rdefinitions.html
index dc110b8fcd..89b557a786 100644
--- a/master/stdlib/Stdlib.Reals.Rdefinitions.html
+++ b/master/stdlib/Stdlib.Reals.Rdefinitions.html
@@ -177,7 +177,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rdefinitions</h1>
 </div>
 
 <div class="doc">
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+<a id="lab992"></a><h1 class="section">Injection from <span class="inlinecode"><span class="id" title="var">Z</span></span> to <span class="inlinecode"><span class="id" title="var">R</span></span></h1>
 
 </div>
 <div class="code">
@@ -265,7 +265,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rdefinitions</h1>
 </div>
 
 <div class="doc">
-<a id="lab942"></a><h1 class="section">Number notation for constants</h1>
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 </div>
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diff --git a/master/stdlib/Stdlib.Reals.Rfunctions.html b/master/stdlib/Stdlib.Reals.Rfunctions.html
index 4f4dc73b9f..a2ff1f6037 100644
--- a/master/stdlib/Stdlib.Reals.Rfunctions.html
+++ b/master/stdlib/Stdlib.Reals.Rfunctions.html
@@ -73,7 +73,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rfunctions</h1>
 </div>
 
 <div class="doc">
-<a id="lab1112"></a><h1 class="section">Lemmas about factorial</h1>
+<a id="lab900"></a><h1 class="section">Lemmas about factorial</h1>
 
 </div>
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@@ -90,7 +90,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rfunctions</h1>
 </div>
 
 <div class="doc">
-<a id="lab1113"></a><h1 class="section">Power</h1>
+<a id="lab901"></a><h1 class="section">Power</h1>
 
 </div>
 <div class="code">
@@ -229,7 +229,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rfunctions</h1>
 </div>
 
 <div class="doc">
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+<a id="lab902"></a><h1 class="section">PowerRZ</h1>
 
 </div>
 <div class="code">
@@ -378,7 +378,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rfunctions</h1>
 </div>
 
 <div class="doc">
-<a id="lab1115"></a><h1 class="section">Sum of n first naturals</h1>
+<a id="lab903"></a><h1 class="section">Sum of n first naturals</h1>
 
 </div>
 <div class="code">
@@ -402,7 +402,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rfunctions</h1>
 </div>
 
 <div class="doc">
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+<a id="lab904"></a><h1 class="section">Sum</h1>
 
 </div>
 <div class="code">
@@ -430,7 +430,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rfunctions</h1>
 </div>
 
 <div class="doc">
-<a id="lab1117"></a><h1 class="section">Distance  in R</h1>
+<a id="lab905"></a><h1 class="section">Distance  in R</h1>
 
 <div class="paragraph"> </div>
 
@@ -476,7 +476,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rfunctions</h1>
 </div>
 
 <div class="doc">
-<a id="lab1118"></a><h1 class="section">Infinite Sum</h1>
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diff --git a/master/stdlib/Stdlib.Reals.Rgeom.html b/master/stdlib/Stdlib.Reals.Rgeom.html
index 8342214f96..0c92899183 100644
--- a/master/stdlib/Stdlib.Reals.Rgeom.html
+++ b/master/stdlib/Stdlib.Reals.Rgeom.html
@@ -56,7 +56,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rgeom</h1>
 </div>
 
 <div class="doc">
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+<a id="lab1079"></a><h1 class="section">Distance</h1>
 
 </div>
 <div class="code">
@@ -90,7 +90,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rgeom</h1>
 </div>
 
 <div class="doc">
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 </div>
 <div class="code">
@@ -112,7 +112,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rgeom</h1>
 </div>
 
 <div class="doc">
-<a id="lab1107"></a><h1 class="section">Rotation</h1>
+<a id="lab1081"></a><h1 class="section">Rotation</h1>
 
 </div>
 <div class="code">
@@ -146,7 +146,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rgeom</h1>
 </div>
 
 <div class="doc">
-<a id="lab1108"></a><h1 class="section">Similarity</h1>
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diff --git a/master/stdlib/Stdlib.Reals.RiemannInt_SF.html b/master/stdlib/Stdlib.Reals.RiemannInt_SF.html
index 67e8c05ce8..9bd9de9309 100644
--- a/master/stdlib/Stdlib.Reals.RiemannInt_SF.html
+++ b/master/stdlib/Stdlib.Reals.RiemannInt_SF.html
@@ -61,7 +61,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RiemannInt_SF</h1>
 </div>
 
 <div class="doc">
-<a id="lab1078"></a><h1 class="section">Each bounded subset of N has a maximal element</h1>
+<a id="lab1020"></a><h1 class="section">Each bounded subset of N has a maximal element</h1>
 
 </div>
 <div class="code">
@@ -83,7 +83,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RiemannInt_SF</h1>
 </div>
 
 <div class="doc">
-<a id="lab1079"></a><h1 class="section">Step functions</h1>
+<a id="lab1021"></a><h1 class="section">Step functions</h1>
 
 </div>
 <div class="code">
@@ -123,7 +123,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RiemannInt_SF</h1>
 </div>
 
 <div class="doc">
-<a id="lab1080"></a><h2 class="section">Class of step functions</h2>
+<a id="lab1022"></a><h2 class="section">Class of step functions</h2>
 
 </div>
 <div class="code">
@@ -155,7 +155,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RiemannInt_SF</h1>
 </div>
 
 <div class="doc">
-<a id="lab1081"></a><h2 class="section">Integral of step functions</h2>
+<a id="lab1023"></a><h2 class="section">Integral of step functions</h2>
 
 </div>
 <div class="code">
@@ -169,7 +169,7 @@ <h1 class="libtitle">Library Stdlib.Reals.RiemannInt_SF</h1>
 </div>
 
 <div class="doc">
-<a id="lab1082"></a><h2 class="section">Properties of step functions</h2>
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 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Rlimit.html b/master/stdlib/Stdlib.Reals.Rlimit.html
index cd2c7465aa..751f6703e1 100644
--- a/master/stdlib/Stdlib.Reals.Rlimit.html
+++ b/master/stdlib/Stdlib.Reals.Rlimit.html
@@ -62,7 +62,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rlimit</h1>
 </div>
 
 <div class="doc">
-<a id="lab1019"></a><h1 class="section">Calculus</h1>
+<a id="lab1069"></a><h1 class="section">Calculus</h1>
 
 </div>
 <div class="code">
@@ -100,7 +100,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rlimit</h1>
 </div>
 
 <div class="doc">
-<a id="lab1020"></a><h1 class="section">Metric space</h1>
+<a id="lab1070"></a><h1 class="section">Metric space</h1>
 
 <div class="paragraph"> </div>
 
@@ -119,7 +119,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rlimit</h1>
 </div>
 
 <div class="doc">
-<a id="lab1021"></a><h2 class="section">Limit in Metric space</h2>
+<a id="lab1071"></a><h2 class="section">Limit in Metric space</h2>
 
 <div class="paragraph"> </div>
 
@@ -138,7 +138,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rlimit</h1>
 </div>
 
 <div class="doc">
-<a id="lab1022"></a><h2 class="section">R is a metric space</h2>
+<a id="lab1072"></a><h2 class="section">R is a metric space</h2>
 
 <div class="paragraph"> </div>
 
@@ -154,7 +154,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rlimit</h1>
 </div>
 
 <div class="doc">
-<a id="lab1023"></a><h1 class="section">Limit 1 arg</h1>
+<a id="lab1073"></a><h1 class="section">Limit 1 arg</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Rlogic.html b/master/stdlib/Stdlib.Reals.Rlogic.html
index 8a7c116108..9734dc7eec 100644
--- a/master/stdlib/Stdlib.Reals.Rlogic.html
+++ b/master/stdlib/Stdlib.Reals.Rlogic.html
@@ -74,7 +74,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rlogic</h1>
 </div>
 
 <div class="doc">
-<a id="lab1121"></a><h1 class="section">Decidability of arithmetical statements</h1>
+<a id="lab989"></a><h1 class="section">Decidability of arithmetical statements</h1>
 
 <div class="paragraph"> </div>
 
@@ -100,7 +100,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rlogic</h1>
 </div>
 
 <div class="doc">
-<a id="lab1122"></a><h1 class="section">Derivability of the Archimedean axiom</h1>
+<a id="lab990"></a><h1 class="section">Derivability of the Archimedean axiom</h1>
 
 <div class="paragraph"> </div>
 
@@ -120,7 +120,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rlogic</h1>
 </div>
 
 <div class="doc">
-<a id="lab1123"></a><h1 class="section">Decidability of negated formulas</h1>
+<a id="lab991"></a><h1 class="section">Decidability of negated formulas</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Rminmax.html b/master/stdlib/Stdlib.Reals.Rminmax.html
index e8f0e67aa5..a71707dca9 100644
--- a/master/stdlib/Stdlib.Reals.Rminmax.html
+++ b/master/stdlib/Stdlib.Reals.Rminmax.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rminmax</h1>
 </div>
 
 <div class="doc">
-<a id="lab1083"></a><h1 class="section">Maximum and Minimum of two real numbers</h1>
+<a id="lab974"></a><h1 class="section">Maximum and Minimum of two real numbers</h1>
 
 </div>
 <div class="code">
@@ -111,7 +111,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rminmax</h1>
 </div>
 
 <div class="doc">
-<a id="lab1084"></a><h1 class="section">Properties specific to the <span class="inlinecode"><span class="id" title="var">R</span></span> domain</h1>
+<a id="lab975"></a><h1 class="section">Properties specific to the <span class="inlinecode"><span class="id" title="var">R</span></span> domain</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Reals.Rpower.html b/master/stdlib/Stdlib.Reals.Rpower.html
index 3e8344856b..cfde9634e6 100644
--- a/master/stdlib/Stdlib.Reals.Rpower.html
+++ b/master/stdlib/Stdlib.Reals.Rpower.html
@@ -75,7 +75,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab965"></a><h1 class="section">Properties of  Exp</h1>
+<a id="lab1061"></a><h1 class="section">Properties of  Exp</h1>
 
 </div>
 <div class="code">
@@ -128,7 +128,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab966"></a><h1 class="section">Properties of  Ln</h1>
+<a id="lab1062"></a><h1 class="section">Properties of  Ln</h1>
 
 </div>
 <div class="code">
@@ -168,7 +168,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab967"></a><h1 class="section">Definition of  Rpower</h1>
+<a id="lab1063"></a><h1 class="section">Definition of  Rpower</h1>
 
 </div>
 <div class="code">
@@ -180,7 +180,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab968"></a><h1 class="section">Properties of  Rpower</h1>
+<a id="lab1064"></a><h1 class="section">Properties of  Rpower</h1>
 
 <div class="paragraph"> </div>
 
@@ -247,7 +247,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab969"></a><h1 class="section">Differentiability of Ln and Rpower</h1>
+<a id="lab1065"></a><h1 class="section">Differentiability of Ln and Rpower</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Rseries.html b/master/stdlib/Stdlib.Reals.Rseries.html
index 25f97039c1..1ac0f28a3a 100644
--- a/master/stdlib/Stdlib.Reals.Rseries.html
+++ b/master/stdlib/Stdlib.Reals.Rseries.html
@@ -57,7 +57,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rseries</h1>
 </div>
 
 <div class="doc">
-<a id="lab970"></a><h1 class="section">Definition of sequence and properties</h1>
+<a id="lab925"></a><h1 class="section">Definition of sequence and properties</h1>
 
 </div>
 <div class="code">
@@ -129,7 +129,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rseries</h1>
 </div>
 
 <div class="doc">
-<a id="lab971"></a><h1 class="section">Definition of Power Series and properties</h1>
+<a id="lab926"></a><h1 class="section">Definition of Power Series and properties</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Rtopology.html b/master/stdlib/Stdlib.Reals.Rtopology.html
index ea60bc1419..d19f496bcb 100644
--- a/master/stdlib/Stdlib.Reals.Rtopology.html
+++ b/master/stdlib/Stdlib.Reals.Rtopology.html
@@ -58,7 +58,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtopology</h1>
 </div>
 
 <div class="doc">
-<a id="lab1085"></a><h1 class="section">General definitions and propositions</h1>
+<a id="lab1066"></a><h1 class="section">General definitions and propositions</h1>
 
 </div>
 <div class="code">
@@ -306,7 +306,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtopology</h1>
 </div>
 
 <div class="doc">
-<a id="lab1086"></a><h1 class="section">Proof of Bolzano-Weierstrass theorem</h1>
+<a id="lab1067"></a><h1 class="section">Proof of Bolzano-Weierstrass theorem</h1>
 
 </div>
 <div class="code">
@@ -379,7 +379,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtopology</h1>
 </div>
 
 <div class="doc">
-<a id="lab1087"></a><h1 class="section">Proof of Heine's theorem</h1>
+<a id="lab1068"></a><h1 class="section">Proof of Heine's theorem</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Rtrigo1.html b/master/stdlib/Stdlib.Reals.Rtrigo1.html
index 7239bf19f7..a8b4769421 100644
--- a/master/stdlib/Stdlib.Reals.Rtrigo1.html
+++ b/master/stdlib/Stdlib.Reals.Rtrigo1.html
@@ -163,7 +163,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo1</h1>
 </div>
 
 <div class="doc">
-<a id="lab946"></a><h1 class="section">Some properties of cos, sin and tan</h1>
+<a id="lab1005"></a><h1 class="section">Some properties of cos, sin and tan</h1>
 
 </div>
 <div class="code">
@@ -257,7 +257,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo1</h1>
 </div>
 
 <div class="doc">
-<a id="lab947"></a><h1 class="section">Using series definitions of cos and sin</h1>
+<a id="lab1006"></a><h1 class="section">Using series definitions of cos and sin</h1>
 
 </div>
 <div class="code">
@@ -291,7 +291,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo1</h1>
 </div>
 
 <div class="doc">
-<a id="lab948"></a><h1 class="section">Increasing and decreasing of <span class="inlinecode"><span class="id" title="var">cos</span></span> and <span class="inlinecode"><span class="id" title="var">sin</span></span></h1>
+<a id="lab1007"></a><h1 class="section">Increasing and decreasing of <span class="inlinecode"><span class="id" title="var">cos</span></span> and <span class="inlinecode"><span class="id" title="var">sin</span></span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Rtrigo_def.html b/master/stdlib/Stdlib.Reals.Rtrigo_def.html
index 10543ba6c8..302f870538 100644
--- a/master/stdlib/Stdlib.Reals.Rtrigo_def.html
+++ b/master/stdlib/Stdlib.Reals.Rtrigo_def.html
@@ -53,7 +53,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo_def</h1>
 </div>
 
 <div class="doc">
-<a id="lab949"></a><h1 class="section">Definition of exponential</h1>
+<a id="lab1058"></a><h1 class="section">Definition of exponential</h1>
 
 </div>
 <div class="code">
@@ -79,7 +79,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo_def</h1>
 </div>
 
 <div class="doc">
-<a id="lab950"></a><h1 class="section">Definition of hyperbolic functions</h1>
+<a id="lab1059"></a><h1 class="section">Definition of hyperbolic functions</h1>
 
 </div>
 <div class="code">
@@ -153,7 +153,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo_def</h1>
 </div>
 
 <div class="doc">
-<a id="lab951"></a><h1 class="section">Properties</h1>
+<a id="lab1060"></a><h1 class="section">Properties</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Reals.Rtrigo_facts.html b/master/stdlib/Stdlib.Reals.Rtrigo_facts.html
index ad5099d773..86f7a91bd1 100644
--- a/master/stdlib/Stdlib.Reals.Rtrigo_facts.html
+++ b/master/stdlib/Stdlib.Reals.Rtrigo_facts.html
@@ -60,7 +60,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo_facts</h1>
 </div>
 
 <div class="doc">
-<a id="lab1033"></a><h1 class="section">Bounds of expressions with trigonometric functions</h1>
+<a id="lab1025"></a><h1 class="section">Bounds of expressions with trigonometric functions</h1>
 
 </div>
 <div class="code">
@@ -77,11 +77,11 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo_facts</h1>
 </div>
 
 <div class="doc">
-<a id="lab1034"></a><h1 class="section">Express trigonometric functions with each other</h1>
+<a id="lab1026"></a><h1 class="section">Express trigonometric functions with each other</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab1035"></a><h2 class="section">Express sin and cos with each other</h2>
+<a id="lab1027"></a><h2 class="section">Express sin and cos with each other</h2>
 
 </div>
 <div class="code">
@@ -114,7 +114,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo_facts</h1>
 </div>
 
 <div class="doc">
-<a id="lab1036"></a><h2 class="section">Express tan with sin and cos</h2>
+<a id="lab1028"></a><h2 class="section">Express tan with sin and cos</h2>
 
 </div>
 <div class="code">
@@ -147,7 +147,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo_facts</h1>
 </div>
 
 <div class="doc">
-<a id="lab1037"></a><h2 class="section">Express sin and cos with tan</h2>
+<a id="lab1029"></a><h2 class="section">Express sin and cos with tan</h2>
 
 </div>
 <div class="code">
@@ -164,7 +164,7 @@ <h1 class="libtitle">Library Stdlib.Reals.Rtrigo_facts</h1>
 </div>
 
 <div class="doc">
-<a id="lab1038"></a><h1 class="section">Additional shift lemmas for sin, cos, tan</h1>
+<a id="lab1030"></a><h1 class="section">Additional shift lemmas for sin, cos, tan</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Relations.Operators_Properties.html b/master/stdlib/Stdlib.Relations.Operators_Properties.html
index 7b0d5ee477..ec164bf752 100644
--- a/master/stdlib/Stdlib.Relations.Operators_Properties.html
+++ b/master/stdlib/Stdlib.Relations.Operators_Properties.html
@@ -48,8 +48,8 @@ <h1 class="libtitle">Library Stdlib.Relations.Operators_Properties</h1>
 </div>
 
 <div class="doc">
-<a id="lab605"></a><h1 class="section">Some properties of the operators on relations</h1>
-<a id="lab606"></a><h1 class="section">Initial version by Bruno Barras</h1>
+<a id="lab1102"></a><h1 class="section">Some properties of the operators on relations</h1>
+<a id="lab1103"></a><h1 class="section">Initial version by Bruno Barras</h1>
 
 </div>
 <div class="code">
@@ -184,12 +184,12 @@ <h1 class="libtitle">Library Stdlib.Relations.Operators_Properties</h1>
 </div>
 
 <div class="doc">
-<a id="lab607"></a><h3 class="section">Equivalences between the different definition of the reflexive,</h3>
+<a id="lab1104"></a><h3 class="section">Equivalences between the different definition of the reflexive,</h3>
 
       symmetric, transitive closures 
 <div class="paragraph"> </div>
 
-<a id="lab608"></a><h3 class="section">Contributed by P. Castéran</h3>
+<a id="lab1105"></a><h3 class="section">Contributed by P. Castéran</h3>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Relations.Relation_Operators.html b/master/stdlib/Stdlib.Relations.Relation_Operators.html
index d6b6360007..ec113f2c9f 100644
--- a/master/stdlib/Stdlib.Relations.Relation_Operators.html
+++ b/master/stdlib/Stdlib.Relations.Relation_Operators.html
@@ -48,14 +48,14 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab586"></a><h1 class="section">Some operators on relations</h1>
-<a id="lab587"></a><h1 class="section">Initial authors: Bruno Barras, Cristina Cornes</h1>
-<a id="lab588"></a><h1 class="section">                                                                   </h1>
-<a id="lab589"></a><h1 class="section">Some of the initial definitions were taken from :</h1>
-<a id="lab590"></a><h1 class="section">Constructing Recursion Operators in Type Theory</h1>
-<a id="lab591"></a><h1 class="section">L. Paulson  JSC (1986) 2, 325-355</h1>
-<a id="lab592"></a><h1 class="section">                                                                   </h1>
-<a id="lab593"></a><h1 class="section">Further extensions by Pierre Castéran</h1>
+<a id="lab1083"></a><h1 class="section">Some operators on relations</h1>
+<a id="lab1084"></a><h1 class="section">Initial authors: Bruno Barras, Cristina Cornes</h1>
+<a id="lab1085"></a><h1 class="section">                                                                   </h1>
+<a id="lab1086"></a><h1 class="section">Some of the initial definitions were taken from :</h1>
+<a id="lab1087"></a><h1 class="section">Constructing Recursion Operators in Type Theory</h1>
+<a id="lab1088"></a><h1 class="section">L. Paulson  JSC (1986) 2, 325-355</h1>
+<a id="lab1089"></a><h1 class="section">                                                                   </h1>
+<a id="lab1090"></a><h1 class="section">Further extensions by Pierre Castéran</h1>
 
 </div>
 <div class="code">
@@ -67,7 +67,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab594"></a><h2 class="section">Transitive closure</h2>
+<a id="lab1091"></a><h2 class="section">Transitive closure</h2>
 
 </div>
 <div class="code">
@@ -123,7 +123,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab595"></a><h2 class="section">Reflexive closure</h2>
+<a id="lab1092"></a><h2 class="section">Reflexive closure</h2>
 
 </div>
 <div class="code">
@@ -153,7 +153,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab596"></a><h2 class="section">Reflexive-transitive closure</h2>
+<a id="lab1093"></a><h2 class="section">Reflexive-transitive closure</h2>
 
 </div>
 <div class="code">
@@ -213,7 +213,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab597"></a><h2 class="section">Reflexive-symmetric-transitive closure</h2>
+<a id="lab1094"></a><h2 class="section">Reflexive-symmetric-transitive closure</h2>
 
 </div>
 <div class="code">
@@ -275,7 +275,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab598"></a><h2 class="section">Converse of a relation</h2>
+<a id="lab1095"></a><h2 class="section">Converse of a relation</h2>
 
 </div>
 <div class="code">
@@ -293,7 +293,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab599"></a><h2 class="section">Union of relations</h2>
+<a id="lab1096"></a><h2 class="section">Union of relations</h2>
 
 </div>
 <div class="code">
@@ -311,7 +311,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab600"></a><h2 class="section">Disjoint union of relations</h2>
+<a id="lab1097"></a><h2 class="section">Disjoint union of relations</h2>
 
 </div>
 <div class="code">
@@ -335,7 +335,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab601"></a><h2 class="section">Lexicographic order on dependent pairs</h2>
+<a id="lab1098"></a><h2 class="section">Lexicographic order on dependent pairs</h2>
 
 </div>
 <div class="code">
@@ -368,7 +368,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab602"></a><h2 class="section">Lexicographic order on pairs</h2>
+<a id="lab1099"></a><h2 class="section">Lexicographic order on pairs</h2>
 
 </div>
 <div class="code">
@@ -403,7 +403,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab603"></a><h2 class="section">Product of relations</h2>
+<a id="lab1100"></a><h2 class="section">Product of relations</h2>
 
 </div>
 <div class="code">
@@ -429,7 +429,7 @@ <h1 class="libtitle">Library Stdlib.Relations.Relation_Operators</h1>
 </div>
 
 <div class="doc">
-<a id="lab604"></a><h2 class="section">Multiset of two relations</h2>
+<a id="lab1101"></a><h2 class="section">Multiset of two relations</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Sorting.CPermutation.html b/master/stdlib/Stdlib.Sorting.CPermutation.html
index cb9da7f987..fb6346c308 100644
--- a/master/stdlib/Stdlib.Sorting.CPermutation.html
+++ b/master/stdlib/Stdlib.Sorting.CPermutation.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.CPermutation</h1>
 </div>
 
 <div class="doc">
-<a id="lab20"></a><h1 class="section">Circular Shifts (aka Cyclic Permutations)</h1>
+<a id="lab579"></a><h1 class="section">Circular Shifts (aka Cyclic Permutations)</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Sorting.Heap.html b/master/stdlib/Stdlib.Sorting.Heap.html
index 43b99fa2d0..8cdc18ce29 100644
--- a/master/stdlib/Stdlib.Sorting.Heap.html
+++ b/master/stdlib/Stdlib.Sorting.Heap.html
@@ -73,11 +73,11 @@ <h1 class="libtitle">Library Stdlib.Sorting.Heap</h1>
 </div>
 
 <div class="doc">
-<a id="lab24"></a><h1 class="section">Trees and heap trees</h1>
+<a id="lab569"></a><h1 class="section">Trees and heap trees</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab25"></a><h2 class="section">Definition of trees over an ordered set</h2>
+<a id="lab570"></a><h2 class="section">Definition of trees over an ordered set</h2>
 
 </div>
 <div class="code">
@@ -142,7 +142,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.Heap</h1>
 </div>
 
 <div class="doc">
-<a id="lab26"></a><h2 class="section">The heap property</h2>
+<a id="lab571"></a><h2 class="section">The heap property</h2>
 
 </div>
 <div class="code">
@@ -194,7 +194,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.Heap</h1>
 </div>
 
 <div class="doc">
-<a id="lab27"></a><h2 class="section">Merging two sorted lists</h2>
+<a id="lab572"></a><h2 class="section">Merging two sorted lists</h2>
 
 </div>
 <div class="code">
@@ -226,7 +226,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.Heap</h1>
 </div>
 
 <div class="doc">
-<a id="lab28"></a><h2 class="section">From trees to multisets</h2>
+<a id="lab573"></a><h2 class="section">From trees to multisets</h2>
 
 <div class="paragraph"> </div>
 
@@ -262,11 +262,11 @@ <h1 class="libtitle">Library Stdlib.Sorting.Heap</h1>
 </div>
 
 <div class="doc">
-<a id="lab29"></a><h1 class="section">From lists to sorted lists</h1>
+<a id="lab574"></a><h1 class="section">From lists to sorted lists</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab30"></a><h2 class="section">Specification of heap insertion</h2>
+<a id="lab575"></a><h2 class="section">Specification of heap insertion</h2>
 
 </div>
 <div class="code">
@@ -288,7 +288,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.Heap</h1>
 </div>
 
 <div class="doc">
-<a id="lab31"></a><h2 class="section">Building a heap from a list</h2>
+<a id="lab576"></a><h2 class="section">Building a heap from a list</h2>
 
 </div>
 <div class="code">
@@ -308,7 +308,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.Heap</h1>
 </div>
 
 <div class="doc">
-<a id="lab32"></a><h2 class="section">Building the sorted list</h2>
+<a id="lab577"></a><h2 class="section">Building the sorted list</h2>
 
 </div>
 <div class="code">
@@ -329,7 +329,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.Heap</h1>
 </div>
 
 <div class="doc">
-<a id="lab33"></a><h1 class="section">Specification of treesort</h1>
+<a id="lab578"></a><h1 class="section">Specification of treesort</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Sorting.PermutSetoid.html b/master/stdlib/Stdlib.Sorting.PermutSetoid.html
index a3da9617cc..5f0bb7c06f 100644
--- a/master/stdlib/Stdlib.Sorting.PermutSetoid.html
+++ b/master/stdlib/Stdlib.Sorting.PermutSetoid.html
@@ -88,7 +88,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.PermutSetoid</h1>
 </div>
 
 <div class="doc">
-<a id="lab21"></a><h1 class="section">From lists to multisets</h1>
+<a id="lab580"></a><h1 class="section">From lists to multisets</h1>
 
 </div>
 <div class="code">
@@ -127,7 +127,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.PermutSetoid</h1>
 </div>
 
 <div class="doc">
-<a id="lab22"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">permutation</span></span>: definition and basic properties</h1>
+<a id="lab581"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">permutation</span></span>: definition and basic properties</h1>
 
 </div>
 <div class="code">
@@ -201,7 +201,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.PermutSetoid</h1>
 </div>
 
 <div class="doc">
-<a id="lab23"></a><h1 class="section">Some inversion results.</h1>
+<a id="lab582"></a><h1 class="section">Some inversion results.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Sorting.Permutation.html b/master/stdlib/Stdlib.Sorting.Permutation.html
index 40fef160b5..d63eaa0150 100644
--- a/master/stdlib/Stdlib.Sorting.Permutation.html
+++ b/master/stdlib/Stdlib.Sorting.Permutation.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.Sorting.Permutation</h1>
 </div>
 
 <div class="doc">
-<a id="lab19"></a><h1 class="section">List permutations as a composition of adjacent transpositions</h1>
+<a id="lab583"></a><h1 class="section">List permutations as a composition of adjacent transpositions</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Strings.Ascii.html b/master/stdlib/Stdlib.Strings.Ascii.html
index 5ec7748c9d..ada657720c 100644
--- a/master/stdlib/Stdlib.Strings.Ascii.html
+++ b/master/stdlib/Stdlib.Strings.Ascii.html
@@ -61,7 +61,7 @@ <h1 class="libtitle">Library Stdlib.Strings.Ascii</h1>
 </div>
 
 <div class="doc">
-<a id="lab1140"></a><h1 class="section">Definition of ascii characters</h1>
+<a id="lab724"></a><h1 class="section">Definition of ascii characters</h1>
 
 <div class="paragraph"> </div>
 
@@ -141,7 +141,7 @@ <h1 class="libtitle">Library Stdlib.Strings.Ascii</h1>
 </div>
 
 <div class="doc">
-<a id="lab1141"></a><h1 class="section">Conversion between natural numbers modulo 256 and ascii characters</h1>
+<a id="lab725"></a><h1 class="section">Conversion between natural numbers modulo 256 and ascii characters</h1>
 
 <div class="paragraph"> </div>
 
@@ -283,7 +283,7 @@ <h1 class="libtitle">Library Stdlib.Strings.Ascii</h1>
 </div>
 
 <div class="doc">
-<a id="lab1142"></a><h1 class="section">Concrete syntax</h1>
+<a id="lab726"></a><h1 class="section">Concrete syntax</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Strings.PString.html b/master/stdlib/Stdlib.Strings.PString.html
index 9f882060b0..66e53f29dd 100644
--- a/master/stdlib/Stdlib.Strings.PString.html
+++ b/master/stdlib/Stdlib.Strings.PString.html
@@ -127,7 +127,7 @@ <h1 class="libtitle">Library Stdlib.Strings.PString</h1>
 </div>
 
 <div class="doc">
-<a id="lab1125"></a><h1 class="section">Properties of string length</h1>
+<a id="lab717"></a><h1 class="section">Properties of string length</h1>
 
 </div>
 <div class="code">
@@ -168,7 +168,7 @@ <h1 class="libtitle">Library Stdlib.Strings.PString</h1>
 </div>
 
 <div class="doc">
-<a id="lab1126"></a><h1 class="section">Properties of string get</h1>
+<a id="lab718"></a><h1 class="section">Properties of string get</h1>
 
 </div>
 <div class="code">
@@ -211,7 +211,7 @@ <h1 class="libtitle">Library Stdlib.Strings.PString</h1>
 </div>
 
 <div class="doc">
-<a id="lab1127"></a><h1 class="section">Properties of string comparison</h1>
+<a id="lab719"></a><h1 class="section">Properties of string comparison</h1>
 
 </div>
 <div class="code">
@@ -292,7 +292,7 @@ <h1 class="libtitle">Library Stdlib.Strings.PString</h1>
 </div>
 
 <div class="doc">
-<a id="lab1128"></a><h1 class="section">Properties of make</h1>
+<a id="lab720"></a><h1 class="section">Properties of make</h1>
 
 </div>
 <div class="code">
@@ -304,7 +304,7 @@ <h1 class="libtitle">Library Stdlib.Strings.PString</h1>
 </div>
 
 <div class="doc">
-<a id="lab1129"></a><h1 class="section">Properties of cat</h1>
+<a id="lab721"></a><h1 class="section">Properties of cat</h1>
 
 </div>
 <div class="code">
@@ -326,7 +326,7 @@ <h1 class="libtitle">Library Stdlib.Strings.PString</h1>
 </div>
 
 <div class="doc">
-<a id="lab1130"></a><h1 class="section">Properties of sub</h1>
+<a id="lab722"></a><h1 class="section">Properties of sub</h1>
 
 </div>
 <div class="code">
@@ -374,7 +374,7 @@ <h1 class="libtitle">Library Stdlib.Strings.PString</h1>
 </div>
 
 <div class="doc">
-<a id="lab1131"></a><h1 class="section">Ordered type</h1>
+<a id="lab723"></a><h1 class="section">Ordered type</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Strings.String.html b/master/stdlib/Stdlib.Strings.String.html
index aed40d6cfc..7aa08bc6d3 100644
--- a/master/stdlib/Stdlib.Strings.String.html
+++ b/master/stdlib/Stdlib.Strings.String.html
@@ -64,7 +64,7 @@ <h1 class="libtitle">Library Stdlib.Strings.String</h1>
 </div>
 
 <div class="doc">
-<a id="lab1132"></a><h3 class="section">Definition of strings</h3>
+<a id="lab709"></a><h3 class="section">Definition of strings</h3>
 
 <div class="paragraph"> </div>
 
@@ -135,7 +135,7 @@ <h1 class="libtitle">Library Stdlib.Strings.String</h1>
 </div>
 
 <div class="doc">
-<a id="lab1133"></a><h3 class="section">Compare strings lexicographically</h3>
+<a id="lab710"></a><h3 class="section">Compare strings lexicographically</h3>
 
 </div>
 <div class="code">
@@ -185,7 +185,7 @@ <h1 class="libtitle">Library Stdlib.Strings.String</h1>
 </div>
 
 <div class="doc">
-<a id="lab1134"></a><h3 class="section">Concatenation of strings</h3>
+<a id="lab711"></a><h3 class="section">Concatenation of strings</h3>
 
 </div>
 <div class="code">
@@ -276,7 +276,7 @@ <h1 class="libtitle">Library Stdlib.Strings.String</h1>
 </div>
 
 <div class="doc">
-<a id="lab1135"></a><h3 class="section">Substrings</h3>
+<a id="lab712"></a><h3 class="section">Substrings</h3>
 
 <div class="paragraph"> </div>
 
@@ -325,7 +325,7 @@ <h1 class="libtitle">Library Stdlib.Strings.String</h1>
 </div>
 
 <div class="doc">
-<a id="lab1136"></a><h3 class="section">Concatenating lists of strings</h3>
+<a id="lab713"></a><h3 class="section">Concatenating lists of strings</h3>
 
 <div class="paragraph"> </div>
 
@@ -346,7 +346,7 @@ <h1 class="libtitle">Library Stdlib.Strings.String</h1>
 </div>
 
 <div class="doc">
-<a id="lab1137"></a><h3 class="section">Test functions</h3>
+<a id="lab714"></a><h3 class="section">Test functions</h3>
 
 <div class="paragraph"> </div>
 
@@ -498,7 +498,7 @@ <h1 class="libtitle">Library Stdlib.Strings.String</h1>
 </div>
 
 <div class="doc">
-<a id="lab1138"></a><h3 class="section">Conversion to/from <span class="inlinecode"><span class="id" title="var">list</span></span> <span class="inlinecode"><span class="id" title="var">ascii</span></span> and <span class="inlinecode"><span class="id" title="var">list</span></span> <span class="inlinecode"><span class="id" title="var">byte</span></span></h3>
+<a id="lab715"></a><h3 class="section">Conversion to/from <span class="inlinecode"><span class="id" title="var">list</span></span> <span class="inlinecode"><span class="id" title="var">ascii</span></span> and <span class="inlinecode"><span class="id" title="var">list</span></span> <span class="inlinecode"><span class="id" title="var">byte</span></span></h3>
 
 </div>
 <div class="code">
@@ -541,7 +541,7 @@ <h1 class="libtitle">Library Stdlib.Strings.String</h1>
 </div>
 
 <div class="doc">
-<a id="lab1139"></a><h3 class="section">Concrete syntax</h3>
+<a id="lab716"></a><h3 class="section">Concrete syntax</h3>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Structures.DecidableType.html b/master/stdlib/Stdlib.Structures.DecidableType.html
index facd0b5e15..ef4184788e 100644
--- a/master/stdlib/Stdlib.Structures.DecidableType.html
+++ b/master/stdlib/Stdlib.Structures.DecidableType.html
@@ -59,7 +59,7 @@ <h1 class="libtitle">Library Stdlib.Structures.DecidableType</h1>
     <span class="inlinecode"><span class="id" title="var">FSets</span></span> and <span class="inlinecode"><span class="id" title="var">FMap</span></span>. Please use <span class="inlinecode"><span class="id" title="var">Structures</span>/<span class="id" title="var">Equalities.v</span></span> directly now. 
 <div class="paragraph"> </div>
 
-<a id="lab661"></a><h1 class="section">Types with Equalities, and nothing more (for subtyping purpose)</h1>
+<a id="lab35"></a><h1 class="section">Types with Equalities, and nothing more (for subtyping purpose)</h1>
 
 </div>
 <div class="code">
@@ -71,7 +71,7 @@ <h1 class="libtitle">Library Stdlib.Structures.DecidableType</h1>
 </div>
 
 <div class="doc">
-<a id="lab662"></a><h1 class="section">Types with decidable Equalities (but no ordering)</h1>
+<a id="lab36"></a><h1 class="section">Types with decidable Equalities (but no ordering)</h1>
 
 </div>
 <div class="code">
@@ -83,7 +83,7 @@ <h1 class="libtitle">Library Stdlib.Structures.DecidableType</h1>
 </div>
 
 <div class="doc">
-<a id="lab663"></a><h1 class="section">Additional notions about keys and datas used in FMap</h1>
+<a id="lab37"></a><h1 class="section">Additional notions about keys and datas used in FMap</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Structures.DecidableTypeEx.html b/master/stdlib/Stdlib.Structures.DecidableTypeEx.html
index 7ea571b4a8..bb6b9b8890 100644
--- a/master/stdlib/Stdlib.Structures.DecidableTypeEx.html
+++ b/master/stdlib/Stdlib.Structures.DecidableTypeEx.html
@@ -56,7 +56,7 @@ <h1 class="libtitle">Library Stdlib.Structures.DecidableTypeEx</h1>
     <span class="inlinecode"><span class="id" title="var">FSets</span></span> and <span class="inlinecode"><span class="id" title="var">FMap</span></span>. Please use <span class="inlinecode"><span class="id" title="var">Structures</span>/<span class="id" title="var">Equalities.v</span></span> directly now. 
 <div class="paragraph"> </div>
 
-<a id="lab674"></a><h1 class="section">Examples of Decidable Type structures.</h1>
+<a id="lab70"></a><h1 class="section">Examples of Decidable Type structures.</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Structures.Equalities.html b/master/stdlib/Stdlib.Structures.Equalities.html
index 3740d4635a..dbfd3b79df 100644
--- a/master/stdlib/Stdlib.Structures.Equalities.html
+++ b/master/stdlib/Stdlib.Structures.Equalities.html
@@ -68,7 +68,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab697"></a><h1 class="section">Structure with just a base type <span class="inlinecode"><span class="id" title="var">t</span></span></h1>
+<a id="lab25"></a><h1 class="section">Structure with just a base type <span class="inlinecode"><span class="id" title="var">t</span></span></h1>
 
 </div>
 <div class="code">
@@ -82,7 +82,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab698"></a><h1 class="section">Structure with an equality relation <span class="inlinecode"><span class="id" title="var">eq</span></span></h1>
+<a id="lab26"></a><h1 class="section">Structure with an equality relation <span class="inlinecode"><span class="id" title="var">eq</span></span></h1>
 
 </div>
 <div class="code">
@@ -108,7 +108,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab699"></a><h1 class="section">Specification of the equality via the <span class="inlinecode"><span class="id" title="var">Equivalence</span></span> type class</h1>
+<a id="lab27"></a><h1 class="section">Specification of the equality via the <span class="inlinecode"><span class="id" title="var">Equivalence</span></span> type class</h1>
 
 </div>
 <div class="code">
@@ -123,7 +123,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab700"></a><h1 class="section">Earlier specification of equality by three separate lemmas.</h1>
+<a id="lab28"></a><h1 class="section">Earlier specification of equality by three separate lemmas.</h1>
 
 </div>
 <div class="code">
@@ -143,7 +143,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab701"></a><h1 class="section">Types with decidable equality</h1>
+<a id="lab29"></a><h1 class="section">Types with decidable equality</h1>
 
 </div>
 <div class="code">
@@ -157,7 +157,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab702"></a><h1 class="section">Boolean Equality</h1>
+<a id="lab30"></a><h1 class="section">Boolean Equality</h1>
 
 <div class="paragraph"> </div>
 
@@ -252,7 +252,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab703"></a><h1 class="section">Compatibility wrapper from/to the old version of</h1>
+<a id="lab31"></a><h1 class="section">Compatibility wrapper from/to the old version of</h1>
 
       <span class="inlinecode"><span class="id" title="var">EqualityType</span></span> and <span class="inlinecode"><span class="id" title="var">DecidableType</span></span> 
 </div>
@@ -291,7 +291,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab704"></a><h1 class="section">Having <span class="inlinecode"><span class="id" title="var">eq_dec</span></span> is equivalent to having <span class="inlinecode"><span class="id" title="var">eqb</span></span> and its spec.</h1>
+<a id="lab32"></a><h1 class="section">Having <span class="inlinecode"><span class="id" title="var">eq_dec</span></span> is equivalent to having <span class="inlinecode"><span class="id" title="var">eqb</span></span> and its spec.</h1>
 
 </div>
 <div class="code">
@@ -389,7 +389,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Equalities</h1>
 </div>
 
 <div class="doc">
-<a id="lab705"></a><h1 class="section">UsualDecidableType</h1>
+<a id="lab33"></a><h1 class="section">UsualDecidableType</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Structures.EqualitiesFacts.html b/master/stdlib/Stdlib.Structures.EqualitiesFacts.html
index a38071efe5..914d816b9d 100644
--- a/master/stdlib/Stdlib.Structures.EqualitiesFacts.html
+++ b/master/stdlib/Stdlib.Structures.EqualitiesFacts.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.Structures.EqualitiesFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab672"></a><h1 class="section">Keys and datas used in the future MMaps</h1>
+<a id="lab23"></a><h1 class="section">Keys and datas used in the future MMaps</h1>
 
 </div>
 <div class="code">
@@ -226,7 +226,7 @@ <h1 class="libtitle">Library Stdlib.Structures.EqualitiesFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab673"></a><h1 class="section">PairDecidableType</h1>
+<a id="lab24"></a><h1 class="section">PairDecidableType</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Structures.GenericMinMax.html b/master/stdlib/Stdlib.Structures.GenericMinMax.html
index ed38ce70ef..d6b805110c 100644
--- a/master/stdlib/Stdlib.Structures.GenericMinMax.html
+++ b/master/stdlib/Stdlib.Structures.GenericMinMax.html
@@ -51,11 +51,11 @@ <h1 class="libtitle">Library Stdlib.Structures.GenericMinMax</h1>
 </div>
 
 <div class="doc">
-<a id="lab675"></a><h1 class="section">A Generic construction of min and max</h1>
+<a id="lab38"></a><h1 class="section">A Generic construction of min and max</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab676"></a><h2 class="section">First, an interface for types with <span class="inlinecode"><span class="id" title="var">max</span></span> and/or <span class="inlinecode"><span class="id" title="var">min</span></span></h2>
+<a id="lab39"></a><h2 class="section">First, an interface for types with <span class="inlinecode"><span class="id" title="var">max</span></span> and/or <span class="inlinecode"><span class="id" title="var">min</span></span></h2>
 
 </div>
 <div class="code">
@@ -81,7 +81,7 @@ <h1 class="libtitle">Library Stdlib.Structures.GenericMinMax</h1>
 </div>
 
 <div class="doc">
-<a id="lab677"></a><h2 class="section">Any <span class="inlinecode"><span class="id" title="var">OrderedTypeFull</span></span> can be equipped by <span class="inlinecode"><span class="id" title="var">max</span></span> and <span class="inlinecode"><span class="id" title="var">min</span></span></h2>
+<a id="lab40"></a><h2 class="section">Any <span class="inlinecode"><span class="id" title="var">OrderedTypeFull</span></span> can be equipped by <span class="inlinecode"><span class="id" title="var">max</span></span> and <span class="inlinecode"><span class="id" title="var">min</span></span></h2>
 
     based on the compare function. 
 </div>
@@ -122,7 +122,7 @@ <h1 class="libtitle">Library Stdlib.Structures.GenericMinMax</h1>
 </div>
 
 <div class="doc">
-<a id="lab678"></a><h2 class="section">Consequences of the minimalist interface: facts about <span class="inlinecode"><span class="id" title="var">max</span></span> and <span class="inlinecode"><span class="id" title="var">min</span></span>.</h2>
+<a id="lab41"></a><h2 class="section">Consequences of the minimalist interface: facts about <span class="inlinecode"><span class="id" title="var">max</span></span> and <span class="inlinecode"><span class="id" title="var">min</span></span>.</h2>
 
 </div>
 <div class="code">
@@ -200,7 +200,7 @@ <h1 class="libtitle">Library Stdlib.Structures.GenericMinMax</h1>
 </div>
 
 <div class="doc">
-<a id="lab679"></a><h3 class="section">Semi-lattice algebraic properties of <span class="inlinecode"><span class="id" title="var">max</span></span></h3>
+<a id="lab42"></a><h3 class="section">Semi-lattice algebraic properties of <span class="inlinecode"><span class="id" title="var">max</span></span></h3>
 
 </div>
 <div class="code">
@@ -227,7 +227,7 @@ <h1 class="libtitle">Library Stdlib.Structures.GenericMinMax</h1>
 </div>
 
 <div class="doc">
-<a id="lab680"></a><h3 class="section">Least-upper bound properties of <span class="inlinecode"><span class="id" title="var">max</span></span></h3>
+<a id="lab43"></a><h3 class="section">Least-upper bound properties of <span class="inlinecode"><span class="id" title="var">max</span></span></h3>
 
 </div>
 <div class="code">
@@ -386,7 +386,7 @@ <h1 class="libtitle">Library Stdlib.Structures.GenericMinMax</h1>
 </div>
 
 <div class="doc">
-<a id="lab681"></a><h3 class="section">Combined properties of min and max</h3>
+<a id="lab44"></a><h3 class="section">Combined properties of min and max</h3>
 
 </div>
 <div class="code">
@@ -468,7 +468,7 @@ <h1 class="libtitle">Library Stdlib.Structures.GenericMinMax</h1>
 </div>
 
 <div class="doc">
-<a id="lab682"></a><h2 class="section">Properties requiring a decidable order</h2>
+<a id="lab45"></a><h2 class="section">Properties requiring a decidable order</h2>
 
 </div>
 <div class="code">
@@ -548,7 +548,7 @@ <h1 class="libtitle">Library Stdlib.Structures.GenericMinMax</h1>
 </div>
 
 <div class="doc">
-<a id="lab683"></a><h2 class="section">When the equality is Leibniz, we can skip a few <span class="inlinecode"><span class="id" title="var">Proper</span></span> precondition.</h2>
+<a id="lab46"></a><h2 class="section">When the equality is Leibniz, we can skip a few <span class="inlinecode"><span class="id" title="var">Proper</span></span> precondition.</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Structures.OrderedType.html b/master/stdlib/Stdlib.Structures.OrderedType.html
index 95f39de669..74926ed95a 100644
--- a/master/stdlib/Stdlib.Structures.OrderedType.html
+++ b/master/stdlib/Stdlib.Structures.OrderedType.html
@@ -56,7 +56,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrderedType</h1>
      <span class="inlinecode"><span class="id" title="var">FSets</span></span> and <span class="inlinecode"><span class="id" title="var">FMap</span></span>. Please use <span class="inlinecode"><span class="id" title="var">Structures</span>/<span class="id" title="var">Orders.v</span></span> directly now. 
 <div class="paragraph"> </div>
 
-<a id="lab712"></a><h1 class="section">Ordered types</h1>
+<a id="lab71"></a><h1 class="section">Ordered types</h1>
 
 </div>
 <div class="code">
@@ -137,7 +137,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrderedType</h1>
 </div>
 
 <div class="doc">
-<a id="lab713"></a><h1 class="section">Ordered types properties</h1>
+<a id="lab72"></a><h1 class="section">Ordered types properties</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html b/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html
index 81d65202c8..e6069ae15e 100644
--- a/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html
+++ b/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html
@@ -49,7 +49,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrderedTypeAlt</h1>
 </div>
 
 <div class="doc">
-<a id="lab684"></a><h1 class="section">An alternative (but equivalent) presentation for an Ordered Type</h1>
+<a id="lab34"></a><h1 class="section">An alternative (but equivalent) presentation for an Ordered Type</h1>
 
    inferface. 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Structures.OrderedTypeEx.html b/master/stdlib/Stdlib.Structures.OrderedTypeEx.html
index b2100710e7..e788e3eee9 100644
--- a/master/stdlib/Stdlib.Structures.OrderedTypeEx.html
+++ b/master/stdlib/Stdlib.Structures.OrderedTypeEx.html
@@ -55,7 +55,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrderedTypeEx</h1>
 </div>
 
 <div class="doc">
-<a id="lab660"></a><h1 class="section">Examples of Ordered Type structures.</h1>
+<a id="lab54"></a><h1 class="section">Examples of Ordered Type structures.</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Structures.Orders.html b/master/stdlib/Stdlib.Structures.Orders.html
index 56f72f3ad0..d888863970 100644
--- a/master/stdlib/Stdlib.Structures.Orders.html
+++ b/master/stdlib/Stdlib.Structures.Orders.html
@@ -52,7 +52,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Orders</h1>
 </div>
 
 <div class="doc">
-<a id="lab685"></a><h1 class="section">Ordered types</h1>
+<a id="lab57"></a><h1 class="section">Ordered types</h1>
 
 <div class="paragraph"> </div>
 
@@ -187,7 +187,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Orders</h1>
   <span class="inlinecode"><span class="id" title="var">DecidableType</span></span>. 
 <div class="paragraph"> </div>
 
-<a id="lab686"></a><h1 class="section">Versions with <span class="inlinecode"><span class="id" title="var">eq</span></span> being the usual Leibniz equality of Coq</h1>
+<a id="lab58"></a><h1 class="section">Versions with <span class="inlinecode"><span class="id" title="var">eq</span></span> being the usual Leibniz equality of Coq</h1>
 
 </div>
 <div class="code">
@@ -219,7 +219,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Orders</h1>
 </div>
 
 <div class="doc">
-<a id="lab687"></a><h1 class="section">Purely logical versions</h1>
+<a id="lab59"></a><h1 class="section">Purely logical versions</h1>
 
 </div>
 <div class="code">
@@ -242,7 +242,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Orders</h1>
 </div>
 
 <div class="doc">
-<a id="lab688"></a><h1 class="section">Conversions</h1>
+<a id="lab60"></a><h1 class="section">Conversions</h1>
 
 <div class="paragraph"> </div>
 
@@ -303,7 +303,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Orders</h1>
 </div>
 
 <div class="doc">
-<a id="lab689"></a><h1 class="section">Versions with boolean comparisons</h1>
+<a id="lab61"></a><h1 class="section">Versions with boolean comparisons</h1>
 
 
 <div class="paragraph"> </div>
@@ -405,7 +405,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Orders</h1>
 </div>
 
 <div class="doc">
-<a id="lab690"></a><h1 class="section">From <span class="inlinecode"><span class="id" title="var">OrderedTypeFull</span></span> to <span class="inlinecode"><span class="id" title="var">TotalTransitiveLeBool</span></span></h1>
+<a id="lab62"></a><h1 class="section">From <span class="inlinecode"><span class="id" title="var">OrderedTypeFull</span></span> to <span class="inlinecode"><span class="id" title="var">TotalTransitiveLeBool</span></span></h1>
 
 </div>
 <div class="code">
@@ -436,7 +436,7 @@ <h1 class="libtitle">Library Stdlib.Structures.Orders</h1>
 </div>
 
 <div class="doc">
-<a id="lab691"></a><h1 class="section">From <span class="inlinecode"><span class="id" title="var">TotalTransitiveLeBool</span></span> to <span class="inlinecode"><span class="id" title="var">OrderedTypeFull</span></span></h1>
+<a id="lab63"></a><h1 class="section">From <span class="inlinecode"><span class="id" title="var">TotalTransitiveLeBool</span></span> to <span class="inlinecode"><span class="id" title="var">OrderedTypeFull</span></span></h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Structures.OrdersAlt.html b/master/stdlib/Stdlib.Structures.OrdersAlt.html
index 806b370aa3..5523bf89f6 100644
--- a/master/stdlib/Stdlib.Structures.OrdersAlt.html
+++ b/master/stdlib/Stdlib.Structures.OrdersAlt.html
@@ -54,12 +54,12 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersAlt</h1>
 </div>
 
 <div class="doc">
-<a id="lab706"></a><h1 class="section">Some alternative (but equivalent) presentations for an Ordered Type</h1>
+<a id="lab47"></a><h1 class="section">Some alternative (but equivalent) presentations for an Ordered Type</h1>
 
    inferface. 
 <div class="paragraph"> </div>
 
-<a id="lab707"></a><h2 class="section">The original interface</h2>
+<a id="lab48"></a><h2 class="section">The original interface</h2>
 
 </div>
 <div class="code">
@@ -71,7 +71,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersAlt</h1>
 </div>
 
 <div class="doc">
-<a id="lab708"></a><h2 class="section">An interface based on compare</h2>
+<a id="lab49"></a><h2 class="section">An interface based on compare</h2>
 
 </div>
 <div class="code">
@@ -101,7 +101,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersAlt</h1>
 </div>
 
 <div class="doc">
-<a id="lab709"></a><h2 class="section">From OrderedTypeOrig to OrderedType.</h2>
+<a id="lab50"></a><h2 class="section">From OrderedTypeOrig to OrderedType.</h2>
 
 </div>
 <div class="code">
@@ -140,7 +140,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersAlt</h1>
 </div>
 
 <div class="doc">
-<a id="lab710"></a><h2 class="section">From OrderedType to OrderedTypeOrig.</h2>
+<a id="lab51"></a><h2 class="section">From OrderedType to OrderedTypeOrig.</h2>
 
 </div>
 <div class="code">
@@ -169,7 +169,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersAlt</h1>
 </div>
 
 <div class="doc">
-<a id="lab711"></a><h2 class="section">From OrderedTypeAlt to OrderedType.</h2>
+<a id="lab52"></a><h2 class="section">From OrderedTypeAlt to OrderedType.</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Structures.OrdersEx.html b/master/stdlib/Stdlib.Structures.OrdersEx.html
index 28b2d81752..390e4d4d2a 100644
--- a/master/stdlib/Stdlib.Structures.OrdersEx.html
+++ b/master/stdlib/Stdlib.Structures.OrdersEx.html
@@ -55,7 +55,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersEx</h1>
 </div>
 
 <div class="doc">
-<a id="lab692"></a><h1 class="section">Examples of Ordered Type structures.</h1>
+<a id="lab53"></a><h1 class="section">Examples of Ordered Type structures.</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.Structures.OrdersFacts.html b/master/stdlib/Stdlib.Structures.OrdersFacts.html
index 6f6acce9f4..fd5ce206db 100644
--- a/master/stdlib/Stdlib.Structures.OrdersFacts.html
+++ b/master/stdlib/Stdlib.Structures.OrdersFacts.html
@@ -55,7 +55,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab664"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">compare</span></span></h1>
+<a id="lab64"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">compare</span></span></h1>
 
 </div>
 <div class="code">
@@ -104,7 +104,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab665"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">OrderedTypeFull</span></span></h1>
+<a id="lab65"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">OrderedTypeFull</span></span></h1>
 
 </div>
 <div class="code">
@@ -164,7 +164,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab666"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">OrderedType</span></span></h1>
+<a id="lab66"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">OrderedType</span></span></h1>
 
 </div>
 <div class="code">
@@ -259,7 +259,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab667"></a><h1 class="section">Tests of the order tactic</h1>
+<a id="lab67"></a><h1 class="section">Tests of the order tactic</h1>
 
 
 <div class="paragraph"> </div>
@@ -297,7 +297,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab668"></a><h1 class="section">Reversed OrderedTypeFull.</h1>
+<a id="lab68"></a><h1 class="section">Reversed OrderedTypeFull.</h1>
 
 
 <div class="paragraph"> </div>
@@ -348,7 +348,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersFacts</h1>
 </div>
 
 <div class="doc">
-<a id="lab669"></a><h1 class="section">Order relations derived from a <span class="inlinecode"><span class="id" title="var">compare</span></span> function.</h1>
+<a id="lab69"></a><h1 class="section">Order relations derived from a <span class="inlinecode"><span class="id" title="var">compare</span></span> function.</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.Structures.OrdersLists.html b/master/stdlib/Stdlib.Structures.OrdersLists.html
index bdfe72d8be..2e4c11f051 100644
--- a/master/stdlib/Stdlib.Structures.OrdersLists.html
+++ b/master/stdlib/Stdlib.Structures.OrdersLists.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersLists</h1>
 </div>
 
 <div class="doc">
-<a id="lab670"></a><h1 class="section">Specialization of results about lists modulo.</h1>
+<a id="lab55"></a><h1 class="section">Specialization of results about lists modulo.</h1>
 
 </div>
 <div class="code">
@@ -109,7 +109,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersLists</h1>
 </div>
 
 <div class="doc">
-<a id="lab671"></a><h1 class="section">Results about keys and data as manipulated in the future MMaps.</h1>
+<a id="lab56"></a><h1 class="section">Results about keys and data as manipulated in the future MMaps.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Structures.OrdersTac.html b/master/stdlib/Stdlib.Structures.OrdersTac.html
index 52d9d57a3b..0ac460b400 100644
--- a/master/stdlib/Stdlib.Structures.OrdersTac.html
+++ b/master/stdlib/Stdlib.Structures.OrdersTac.html
@@ -52,7 +52,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersTac</h1>
 </div>
 
 <div class="doc">
-<a id="lab693"></a><h1 class="section">The order tactic</h1>
+<a id="lab19"></a><h1 class="section">The order tactic</h1>
 
 <div class="paragraph"> </div>
 
@@ -91,7 +91,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersTac</h1>
 </div>
 
 <div class="doc">
-<a id="lab694"></a><h2 class="section">The tactic requirements : a total order</h2>
+<a id="lab20"></a><h2 class="section">The tactic requirements : a total order</h2>
 
 
 <div class="paragraph"> </div>
@@ -127,7 +127,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersTac</h1>
 </div>
 
 <div class="doc">
-<a id="lab695"></a><h2 class="section">Properties that will be used by the <span class="inlinecode"><span class="id" title="var">order</span></span> tactic</h2>
+<a id="lab21"></a><h2 class="section">Properties that will be used by the <span class="inlinecode"><span class="id" title="var">order</span></span> tactic</h2>
 
 </div>
 <div class="code">
@@ -237,7 +237,7 @@ <h1 class="libtitle">Library Stdlib.Structures.OrdersTac</h1>
 </div>
 
 <div class="doc">
-<a id="lab696"></a><h2 class="section"><span class="inlinecode"><span class="id" title="var">MakeOrderTac</span></span> : The functor providing the order tactic.</h2>
+<a id="lab22"></a><h2 class="section"><span class="inlinecode"><span class="id" title="var">MakeOrderTac</span></span> : The functor providing the order tactic.</h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Vectors.VectorDef.html b/master/stdlib/Stdlib.Vectors.VectorDef.html
index 1ef65b6297..b8ae7ef3c0 100644
--- a/master/stdlib/Stdlib.Vectors.VectorDef.html
+++ b/master/stdlib/Stdlib.Vectors.VectorDef.html
@@ -436,7 +436,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab1143"></a><h1 class="section">Here are special non dependent useful instantiation of induction schemes</h1>
+<a id="lab567"></a><h1 class="section">Here are special non dependent useful instantiation of induction schemes</h1>
 
 <div class="paragraph"> </div>
 
@@ -563,7 +563,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab1144"></a><h1 class="section">vector &lt;=&gt; list functions</h1>
+<a id="lab568"></a><h1 class="section">vector &lt;=&gt; list functions</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.Vectors.VectorSpec.html b/master/stdlib/Stdlib.Vectors.VectorSpec.html
index 794ca029e8..d786487996 100644
--- a/master/stdlib/Stdlib.Vectors.VectorSpec.html
+++ b/master/stdlib/Stdlib.Vectors.VectorSpec.html
@@ -94,7 +94,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 is true for the one that use <span class="inlinecode"><span class="id" title="var">lt</span></span> 
 <div class="paragraph"> </div>
 
-<a id="lab1145"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">nth</span></span> and <span class="inlinecode"><span class="id" title="var">nth_order</span></span></h2>
+<a id="lab555"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">nth</span></span> and <span class="inlinecode"><span class="id" title="var">nth_order</span></span></h2>
 
 </div>
 <div class="code">
@@ -135,7 +135,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1146"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="tactic">replace</span></span></h2>
+<a id="lab556"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="tactic">replace</span></span></h2>
 
 </div>
 <div class="code">
@@ -181,7 +181,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1147"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">const</span></span></h2>
+<a id="lab557"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">const</span></span></h2>
 
 </div>
 <div class="code">
@@ -196,7 +196,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1148"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">map</span></span></h2>
+<a id="lab558"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">map</span></span></h2>
 
 </div>
 <div class="code">
@@ -237,7 +237,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1149"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">fold_left</span></span></h2>
+<a id="lab559"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">fold_left</span></span></h2>
 
 </div>
 <div class="code">
@@ -251,7 +251,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1150"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">take</span></span></h2>
+<a id="lab560"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">take</span></span></h2>
 
 </div>
 <div class="code">
@@ -273,7 +273,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1151"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">uncons</span></span> and <span class="inlinecode"><span class="id" title="var">splitat</span></span></h2>
+<a id="lab561"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">uncons</span></span> and <span class="inlinecode"><span class="id" title="var">splitat</span></span></h2>
 
 </div>
 <div class="code">
@@ -304,7 +304,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1152"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">In</span></span></h2>
+<a id="lab562"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">In</span></span></h2>
 
 </div>
 <div class="code">
@@ -317,7 +317,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1153"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">Forall</span></span> and <span class="inlinecode"><span class="id" title="var">Forall2</span></span></h2>
+<a id="lab563"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">Forall</span></span> and <span class="inlinecode"><span class="id" title="var">Forall2</span></span></h2>
 
 </div>
 <div class="code">
@@ -371,7 +371,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1154"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">shiftin</span></span> and <span class="inlinecode"><span class="id" title="var">shiftrepeat</span></span></h2>
+<a id="lab564"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">shiftin</span></span> and <span class="inlinecode"><span class="id" title="var">shiftrepeat</span></span></h2>
 
 </div>
 <div class="code">
@@ -410,7 +410,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1155"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">rev</span></span></h2>
+<a id="lab565"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">rev</span></span></h2>
 
 </div>
 <div class="code">
@@ -448,7 +448,7 @@ <h1 class="libtitle">Library Stdlib.Vectors.VectorSpec</h1>
 </div>
 
 <div class="doc">
-<a id="lab1156"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">to_list</span></span></h2>
+<a id="lab566"></a><h2 class="section">Properties of <span class="inlinecode"><span class="id" title="var">to_list</span></span></h2>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.BinInt.html b/master/stdlib/Stdlib.ZArith.BinInt.html
index 1b72f9eab7..acbac4b671 100644
--- a/master/stdlib/Stdlib.ZArith.BinInt.html
+++ b/master/stdlib/Stdlib.ZArith.BinInt.html
@@ -54,7 +54,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab846"></a><h1 class="section">Binary Integers</h1>
+<a id="lab441"></a><h1 class="section">Binary Integers</h1>
 
 <div class="paragraph"> </div>
 
@@ -89,7 +89,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab847"></a><h1 class="section">Definitions of operations, now in a separate file</h1>
+<a id="lab442"></a><h1 class="section">Definitions of operations, now in a separate file</h1>
 
 </div>
 <div class="code">
@@ -121,7 +121,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab848"></a><h1 class="section">Logic Predicates</h1>
+<a id="lab443"></a><h1 class="section">Logic Predicates</h1>
 
 </div>
 <div class="code">
@@ -159,7 +159,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab849"></a><h1 class="section">Decidability of equality.</h1>
+<a id="lab444"></a><h1 class="section">Decidability of equality.</h1>
 
 </div>
 <div class="code">
@@ -171,7 +171,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab850"></a><h1 class="section">Proofs of morphisms, obvious since eq is Leibniz</h1>
+<a id="lab445"></a><h1 class="section">Proofs of morphisms, obvious since eq is Leibniz</h1>
 
 </div>
 <div class="code">
@@ -196,7 +196,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab851"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">pos_sub</span></span></h1>
+<a id="lab446"></a><h1 class="section">Properties of <span class="inlinecode"><span class="id" title="var">pos_sub</span></span></h1>
 
 <div class="paragraph"> </div>
 
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab852"></a><h2 class="section">Operations and constants</h2>
+<a id="lab447"></a><h2 class="section">Operations and constants</h2>
 
 </div>
 <div class="code">
@@ -285,7 +285,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab853"></a><h2 class="section">Addition is commutative</h2>
+<a id="lab448"></a><h2 class="section">Addition is commutative</h2>
 
 </div>
 <div class="code">
@@ -297,7 +297,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab854"></a><h2 class="section">Opposite distributes over addition</h2>
+<a id="lab449"></a><h2 class="section">Opposite distributes over addition</h2>
 
 </div>
 <div class="code">
@@ -309,7 +309,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab855"></a><h2 class="section">Opposite is injective</h2>
+<a id="lab450"></a><h2 class="section">Opposite is injective</h2>
 
 </div>
 <div class="code">
@@ -321,7 +321,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab856"></a><h2 class="section">Addition is associative</h2>
+<a id="lab451"></a><h2 class="section">Addition is associative</h2>
 
 </div>
 <div class="code">
@@ -343,7 +343,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab857"></a><h2 class="section">Opposite is inverse for addition</h2>
+<a id="lab452"></a><h2 class="section">Opposite is inverse for addition</h2>
 
 </div>
 <div class="code">
@@ -355,7 +355,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab858"></a><h2 class="section">Multiplication and Opposite</h2>
+<a id="lab453"></a><h2 class="section">Multiplication and Opposite</h2>
 
 </div>
 <div class="code">
@@ -367,7 +367,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab859"></a><h2 class="section">Distributivity of multiplication over addition</h2>
+<a id="lab454"></a><h2 class="section">Distributivity of multiplication over addition</h2>
 
 </div>
 <div class="code">
@@ -386,11 +386,11 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab860"></a><h1 class="section">Proofs of specifications</h1>
+<a id="lab455"></a><h1 class="section">Proofs of specifications</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab861"></a><h2 class="section">Specification of constants</h2>
+<a id="lab456"></a><h2 class="section">Specification of constants</h2>
 
 </div>
 <div class="code">
@@ -405,7 +405,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab862"></a><h2 class="section">Specification of addition</h2>
+<a id="lab457"></a><h2 class="section">Specification of addition</h2>
 
 </div>
 <div class="code">
@@ -420,7 +420,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab863"></a><h2 class="section">Specification of opposite</h2>
+<a id="lab458"></a><h2 class="section">Specification of opposite</h2>
 
 </div>
 <div class="code">
@@ -435,7 +435,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab864"></a><h2 class="section">Specification of successor and predecessor</h2>
+<a id="lab459"></a><h2 class="section">Specification of successor and predecessor</h2>
 
 </div>
 <div class="code">
@@ -453,7 +453,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab865"></a><h2 class="section">Specification of subtraction</h2>
+<a id="lab460"></a><h2 class="section">Specification of subtraction</h2>
 
 </div>
 <div class="code">
@@ -468,7 +468,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab866"></a><h2 class="section">Specification of multiplication</h2>
+<a id="lab461"></a><h2 class="section">Specification of multiplication</h2>
 
 </div>
 <div class="code">
@@ -483,7 +483,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab867"></a><h2 class="section">Specification of comparisons and order</h2>
+<a id="lab462"></a><h2 class="section">Specification of comparisons and order</h2>
 
 </div>
 <div class="code">
@@ -575,7 +575,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab868"></a><h2 class="section">Specification of minimum and maximum</h2>
+<a id="lab463"></a><h2 class="section">Specification of minimum and maximum</h2>
 
 </div>
 <div class="code">
@@ -596,7 +596,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab869"></a><h2 class="section">Induction principles based on successor / predecessor</h2>
+<a id="lab464"></a><h2 class="section">Induction principles based on successor / predecessor</h2>
 
 </div>
 <div class="code">
@@ -637,7 +637,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab870"></a><h2 class="section">Specification of absolute value</h2>
+<a id="lab465"></a><h2 class="section">Specification of absolute value</h2>
 
 </div>
 <div class="code">
@@ -652,7 +652,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab871"></a><h2 class="section">Specification of sign</h2>
+<a id="lab466"></a><h2 class="section">Specification of sign</h2>
 
 </div>
 <div class="code">
@@ -670,7 +670,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab872"></a><h2 class="section">Specification of power</h2>
+<a id="lab467"></a><h2 class="section">Specification of power</h2>
 
 </div>
 <div class="code">
@@ -699,7 +699,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab873"></a><h2 class="section">Specification of square</h2>
+<a id="lab468"></a><h2 class="section">Specification of square</h2>
 
 </div>
 <div class="code">
@@ -711,7 +711,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab874"></a><h2 class="section">Specification of square root</h2>
+<a id="lab469"></a><h2 class="section">Specification of square root</h2>
 
 </div>
 <div class="code">
@@ -734,7 +734,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab875"></a><h2 class="section">Specification of logarithm</h2>
+<a id="lab470"></a><h2 class="section">Specification of logarithm</h2>
 
 </div>
 <div class="code">
@@ -763,7 +763,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab876"></a><h2 class="section">Multiplication and Doubling</h2>
+<a id="lab471"></a><h2 class="section">Multiplication and Doubling</h2>
 
 </div>
 <div class="code">
@@ -781,7 +781,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab877"></a><h2 class="section">Correctness proofs for Trunc division</h2>
+<a id="lab472"></a><h2 class="section">Correctness proofs for Trunc division</h2>
 
 </div>
 <div class="code">
@@ -813,7 +813,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab878"></a><h2 class="section">Correctness proofs for Floor division</h2>
+<a id="lab473"></a><h2 class="section">Correctness proofs for Floor division</h2>
 
 </div>
 <div class="code">
@@ -846,7 +846,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab879"></a><h2 class="section">Extra properties about <span class="inlinecode"><span class="id" title="var">divide</span></span></h2>
+<a id="lab474"></a><h2 class="section">Extra properties about <span class="inlinecode"><span class="id" title="var">divide</span></span></h2>
 
 </div>
 <div class="code">
@@ -864,7 +864,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab880"></a><h2 class="section">Correctness proofs for gcd</h2>
+<a id="lab475"></a><h2 class="section">Correctness proofs for gcd</h2>
 
 </div>
 <div class="code">
@@ -905,7 +905,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab881"></a><h2 class="section">Extra properties about <span class="inlinecode"><span class="id" title="var">testbit</span></span></h2>
+<a id="lab476"></a><h2 class="section">Extra properties about <span class="inlinecode"><span class="id" title="var">testbit</span></span></h2>
 
 </div>
 <div class="code">
@@ -930,7 +930,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab882"></a><h2 class="section">Proofs of specifications for bitwise operations</h2>
+<a id="lab477"></a><h2 class="section">Proofs of specifications for bitwise operations</h2>
 
 </div>
 <div class="code">
@@ -1109,7 +1109,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab883"></a><h1 class="section">Comparison and opposite</h1>
+<a id="lab478"></a><h1 class="section">Comparison and opposite</h1>
 
 </div>
 <div class="code">
@@ -1121,7 +1121,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab884"></a><h1 class="section">Comparison and addition</h1>
+<a id="lab479"></a><h1 class="section">Comparison and addition</h1>
 
 </div>
 <div class="code">
@@ -1133,7 +1133,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab885"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">testbit</span></span> in terms of comparison.</h1>
+<a id="lab480"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">testbit</span></span> in terms of comparison.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.BinIntDef.html b/master/stdlib/Stdlib.ZArith.BinIntDef.html
index d9408b689a..dc3b2084f0 100644
--- a/master/stdlib/Stdlib.ZArith.BinIntDef.html
+++ b/master/stdlib/Stdlib.ZArith.BinIntDef.html
@@ -61,7 +61,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab924"></a><h1 class="section">Binary Integers, Definitions of Operations</h1>
+<a id="lab537"></a><h1 class="section">Binary Integers, Definitions of Operations</h1>
 
 <div class="paragraph"> </div>
 
@@ -82,7 +82,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab925"></a><h2 class="section">Nicer names <span class="inlinecode"><span class="id" title="var">Z.pos</span></span> and <span class="inlinecode"><span class="id" title="var">Z.neg</span></span> for constructors</h2>
+<a id="lab538"></a><h2 class="section">Nicer names <span class="inlinecode"><span class="id" title="var">Z.pos</span></span> and <span class="inlinecode"><span class="id" title="var">Z.neg</span></span> for constructors</h2>
 
 </div>
 <div class="code">
@@ -95,7 +95,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab926"></a><h2 class="section">Constants</h2>
+<a id="lab539"></a><h2 class="section">Constants</h2>
 
 </div>
 <div class="code">
@@ -109,7 +109,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab927"></a><h2 class="section">Successor</h2>
+<a id="lab540"></a><h2 class="section">Successor</h2>
 
 </div>
 <div class="code">
@@ -121,7 +121,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab928"></a><h2 class="section">Predecessor</h2>
+<a id="lab541"></a><h2 class="section">Predecessor</h2>
 
 </div>
 <div class="code">
@@ -133,7 +133,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab929"></a><h2 class="section">Square</h2>
+<a id="lab542"></a><h2 class="section">Square</h2>
 
 </div>
 <div class="code">
@@ -150,7 +150,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab930"></a><h2 class="section">Sign function</h2>
+<a id="lab543"></a><h2 class="section">Sign function</h2>
 
 </div>
 <div class="code">
@@ -201,7 +201,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab931"></a><h2 class="section">Absolute value</h2>
+<a id="lab544"></a><h2 class="section">Absolute value</h2>
 
 </div>
 <div class="code">
@@ -218,7 +218,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab932"></a><h2 class="section">Conversions</h2>
+<a id="lab545"></a><h2 class="section">Conversions</h2>
 
 <div class="paragraph"> </div>
 
@@ -333,7 +333,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab933"></a><h2 class="section">Iteration of a function</h2>
+<a id="lab546"></a><h2 class="section">Iteration of a function</h2>
 
 
 <div class="paragraph"> </div>
@@ -358,7 +358,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab934"></a><h2 class="section">Parity functions</h2>
+<a id="lab547"></a><h2 class="section">Parity functions</h2>
 
 </div>
 <div class="code">
@@ -376,7 +376,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab935"></a><h2 class="section">Division by two</h2>
+<a id="lab548"></a><h2 class="section">Division by two</h2>
 
 <div class="paragraph"> </div>
 
@@ -403,7 +403,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 NB: <span class="inlinecode"><span class="id" title="var">Z.quot2</span></span> used to be named <span class="inlinecode"><span class="id" title="var">Z.div2</span></span> in Coq &lt;= 8.3 
 <div class="paragraph"> </div>
 
-<a id="lab936"></a><h1 class="section">Base-2 logarithm</h1>
+<a id="lab549"></a><h1 class="section">Base-2 logarithm</h1>
 
 </div>
 <div class="code">
@@ -420,7 +420,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab937"></a><h2 class="section">Square root</h2>
+<a id="lab550"></a><h2 class="section">Square root</h2>
 
 </div>
 <div class="code">
@@ -436,7 +436,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab938"></a><h2 class="section">Greatest Common Divisor</h2>
+<a id="lab551"></a><h2 class="section">Greatest Common Divisor</h2>
 
 </div>
 <div class="code">
@@ -479,7 +479,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.BinIntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab939"></a><h2 class="section">Bitwise functions</h2>
+<a id="lab552"></a><h2 class="section">Bitwise functions</h2>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.ZArith.Int.html b/master/stdlib/Stdlib.ZArith.Int.html
index e80a0c735f..4a5c6d9f3c 100644
--- a/master/stdlib/Stdlib.ZArith.Int.html
+++ b/master/stdlib/Stdlib.ZArith.Int.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Int</h1>
 </div>
 
 <div class="doc">
-<a id="lab824"></a><h1 class="section">An light axiomatization of integers (used in MSetAVL).</h1>
+<a id="lab487"></a><h1 class="section">An light axiomatization of integers (used in MSetAVL).</h1>
 
 <div class="paragraph"> </div>
 
@@ -73,7 +73,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Int</h1>
 </div>
 
 <div class="doc">
-<a id="lab825"></a><h1 class="section">A specification of integers</h1>
+<a id="lab488"></a><h1 class="section">A specification of integers</h1>
 
 </div>
 <div class="code">
@@ -209,7 +209,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Int</h1>
 </div>
 
 <div class="doc">
-<a id="lab826"></a><h1 class="section">Facts and  tactics using <span class="inlinecode"><span class="id" title="var">Int</span></span></h1>
+<a id="lab489"></a><h1 class="section">Facts and  tactics using <span class="inlinecode"><span class="id" title="var">Int</span></span></h1>
 
 </div>
 <div class="code">
@@ -563,7 +563,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Int</h1>
 </div>
 
 <div class="doc">
-<a id="lab827"></a><h1 class="section">An implementation of <span class="inlinecode"><span class="id" title="var">Int</span></span></h1>
+<a id="lab490"></a><h1 class="section">An implementation of <span class="inlinecode"><span class="id" title="var">Int</span></span></h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.ZArith.ZArith_dec.html b/master/stdlib/Stdlib.ZArith.ZArith_dec.html
index 72ba59b5f9..01786099a8 100644
--- a/master/stdlib/Stdlib.ZArith.ZArith_dec.html
+++ b/master/stdlib/Stdlib.ZArith.ZArith_dec.html
@@ -73,7 +73,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.ZArith_dec</h1>
 </div>
 
 <div class="doc">
-<a id="lab911"></a><h1 class="section">Decidability of order on binary integers</h1>
+<a id="lab481"></a><h1 class="section">Decidability of order on binary integers</h1>
 
 </div>
 <div class="code">
@@ -115,7 +115,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.ZArith_dec</h1>
 </div>
 
 <div class="doc">
-<a id="lab912"></a><h1 class="section">Cotransitivity of order on binary integers</h1>
+<a id="lab482"></a><h1 class="section">Cotransitivity of order on binary integers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zabs.html b/master/stdlib/Stdlib.ZArith.Zabs.html
index 4a0d5e7619..0ba735874b 100644
--- a/master/stdlib/Stdlib.ZArith.Zabs.html
+++ b/master/stdlib/Stdlib.ZArith.Zabs.html
@@ -73,7 +73,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zabs</h1>
 </div>
 
 <div class="doc">
-<a id="lab908"></a><h1 class="section">Properties of absolute value</h1>
+<a id="lab534"></a><h1 class="section">Properties of absolute value</h1>
 
 </div>
 <div class="code">
@@ -91,7 +91,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zabs</h1>
 </div>
 
 <div class="doc">
-<a id="lab909"></a><h1 class="section">Proving a property of the absolute value by cases</h1>
+<a id="lab535"></a><h1 class="section">Proving a property of the absolute value by cases</h1>
 
 </div>
 <div class="code">
@@ -116,7 +116,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zabs</h1>
 </div>
 
 <div class="doc">
-<a id="lab910"></a><h1 class="section">Some results about the sign function.</h1>
+<a id="lab536"></a><h1 class="section">Some results about the sign function.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zbitwise.html b/master/stdlib/Stdlib.ZArith.Zbitwise.html
index 1f1fcf5ad6..ea87c6a8a0 100644
--- a/master/stdlib/Stdlib.ZArith.Zbitwise.html
+++ b/master/stdlib/Stdlib.ZArith.Zbitwise.html
@@ -151,13 +151,13 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zbitwise</h1>
 
 <div class="doc">
 Explicit formulas for carry bits during addition. Conceptually, the theory
-<a id="lab915"></a><h1 class="section">here matches the bitblasting rules for integers. However, the vector of</h1>
+<a id="lab483"></a><h1 class="section">here matches the bitblasting rules for integers. However, the vector of</h1>
 
-<a id="lab916"></a><h1 class="section">carry bits is represented as a <span class="inlinecode"><span class="id" title="var">Z</span></span> so it can be used in bitwise operations.</h1>
+<a id="lab484"></a><h1 class="section">carry bits is represented as a <span class="inlinecode"><span class="id" title="var">Z</span></span> so it can be used in bitwise operations.</h1>
 
-<a id="lab917"></a><h1 class="section">The last three lemmas about <span class="inlinecode"><span class="id" title="var">addcarries</span></span> are the main interface, but the</h1>
+<a id="lab485"></a><h1 class="section">The last three lemmas about <span class="inlinecode"><span class="id" title="var">addcarries</span></span> are the main interface, but the</h1>
 
-<a id="lab918"></a><h1 class="section">generalization <span class="inlinecode"><span class="id" title="var">adccarries</span></span> is provided as the same theory applies.</h1>
+<a id="lab486"></a><h1 class="section">generalization <span class="inlinecode"><span class="id" title="var">adccarries</span></span> is provided as the same theory applies.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zbool.html b/master/stdlib/Stdlib.ZArith.Zbool.html
index 28f8522e6f..adc3d6ae90 100644
--- a/master/stdlib/Stdlib.ZArith.Zbool.html
+++ b/master/stdlib/Stdlib.ZArith.Zbool.html
@@ -59,7 +59,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zbool</h1>
 </div>
 
 <div class="doc">
-<a id="lab828"></a><h1 class="section">Boolean operations from decidability of order</h1>
+<a id="lab531"></a><h1 class="section">Boolean operations from decidability of order</h1>
  The decidability of equality and order relations over
     type <span class="inlinecode"><span class="id" title="var">Z</span></span> gives some boolean functions with the adequate specification. 
 </div>
@@ -84,7 +84,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zbool</h1>
 </div>
 
 <div class="doc">
-<a id="lab829"></a><h1 class="section">Boolean comparisons of binary integers</h1>
+<a id="lab532"></a><h1 class="section">Boolean comparisons of binary integers</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zcompare.html b/master/stdlib/Stdlib.ZArith.Zcompare.html
index ad1219c78b..bee743e411 100644
--- a/master/stdlib/Stdlib.ZArith.Zcompare.html
+++ b/master/stdlib/Stdlib.ZArith.Zcompare.html
@@ -67,7 +67,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zcompare</h1>
 </div>
 
 <div class="doc">
-<a id="lab886"></a><h1 class="section">Comparison on integers</h1>
+<a id="lab491"></a><h1 class="section">Comparison on integers</h1>
 
 </div>
 <div class="code">
@@ -82,7 +82,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zcompare</h1>
 </div>
 
 <div class="doc">
-<a id="lab887"></a><h1 class="section">Transitivity of comparison</h1>
+<a id="lab492"></a><h1 class="section">Transitivity of comparison</h1>
 
 </div>
 <div class="code">
@@ -99,7 +99,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zcompare</h1>
 </div>
 
 <div class="doc">
-<a id="lab888"></a><h1 class="section">Comparison and opposite</h1>
+<a id="lab493"></a><h1 class="section">Comparison and opposite</h1>
 
 </div>
 <div class="code">
@@ -111,7 +111,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zcompare</h1>
 </div>
 
 <div class="doc">
-<a id="lab889"></a><h1 class="section">Comparison first-order specification</h1>
+<a id="lab494"></a><h1 class="section">Comparison first-order specification</h1>
 
 </div>
 <div class="code">
@@ -123,7 +123,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zcompare</h1>
 </div>
 
 <div class="doc">
-<a id="lab890"></a><h1 class="section">Comparison and addition</h1>
+<a id="lab495"></a><h1 class="section">Comparison and addition</h1>
 
 </div>
 <div class="code">
@@ -145,7 +145,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zcompare</h1>
 </div>
 
 <div class="doc">
-<a id="lab891"></a><h1 class="section">Successor and comparison</h1>
+<a id="lab496"></a><h1 class="section">Successor and comparison</h1>
 
 </div>
 <div class="code">
@@ -157,7 +157,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zcompare</h1>
 </div>
 
 <div class="doc">
-<a id="lab892"></a><h1 class="section">Multiplication and comparison</h1>
+<a id="lab497"></a><h1 class="section">Multiplication and comparison</h1>
 
 </div>
 <div class="code">
@@ -178,7 +178,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zcompare</h1>
 </div>
 
 <div class="doc">
-<a id="lab893"></a><h1 class="section">Relating <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">?=</span> <span class="inlinecode"><span class="id" title="var">y</span></span> to <span class="inlinecode">=</span>, <span class="inlinecode">&lt;=</span>, <span class="inlinecode">&lt;</span>, <span class="inlinecode">&gt;=</span> or <span class="inlinecode">&gt;</span></h1>
+<a id="lab498"></a><h1 class="section">Relating <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">?=</span> <span class="inlinecode"><span class="id" title="var">y</span></span> to <span class="inlinecode">=</span>, <span class="inlinecode">&lt;=</span>, <span class="inlinecode">&lt;</span>, <span class="inlinecode">&gt;=</span> or <span class="inlinecode">&gt;</span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zdiv.html b/master/stdlib/Stdlib.ZArith.Zdiv.html
index c4490bc531..3102aeecad 100644
--- a/master/stdlib/Stdlib.ZArith.Zdiv.html
+++ b/master/stdlib/Stdlib.ZArith.Zdiv.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zdiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab899"></a><h1 class="section">Euclidean Division</h1>
+<a id="lab507"></a><h1 class="section">Euclidean Division</h1>
 
 <div class="paragraph"> </div>
 
@@ -88,7 +88,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zdiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab900"></a><h1 class="section">Main division theorems</h1>
+<a id="lab508"></a><h1 class="section">Main division theorems</h1>
 
 <div class="paragraph"> </div>
 
@@ -237,7 +237,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zdiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab901"></a><h1 class="section">Basic values of divisions and modulo.</h1>
+<a id="lab509"></a><h1 class="section">Basic values of divisions and modulo.</h1>
 
 </div>
 <div class="code">
@@ -293,7 +293,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zdiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab902"></a><h1 class="section">Order results about Z.modulo and Z.div</h1>
+<a id="lab510"></a><h1 class="section">Order results about Z.modulo and Z.div</h1>
 
 </div>
 <div class="code">
@@ -451,7 +451,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zdiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab903"></a><h1 class="section">Relations between usual operations and Z.modulo and Z.div</h1>
+<a id="lab511"></a><h1 class="section">Relations between usual operations and Z.modulo and Z.div</h1>
 
 </div>
 <div class="code">
@@ -690,7 +690,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zdiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab904"></a><h1 class="section">Compatibility</h1>
+<a id="lab512"></a><h1 class="section">Compatibility</h1>
 
 <div class="paragraph"> </div>
 
@@ -726,7 +726,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zdiv</h1>
 </div>
 
 <div class="doc">
-<a id="lab905"></a><h1 class="section">A direct way to compute Z.modulo</h1>
+<a id="lab513"></a><h1 class="section">A direct way to compute Z.modulo</h1>
 
 </div>
 <div class="code">
@@ -778,9 +778,9 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zdiv</h1>
 
 <div class="doc">
 Another convention is possible for division by negative numbers:
-<a id="lab906"></a><h1 class="section">quotient is always the biggest integer smaller than or equal to a/b</h1>
+<a id="lab514"></a><h1 class="section">quotient is always the biggest integer smaller than or equal to a/b</h1>
 
-<a id="lab907"></a><h1 class="section">remainder is hence always positive or null.</h1>
+<a id="lab515"></a><h1 class="section">remainder is hence always positive or null.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zeuclid.html b/master/stdlib/Stdlib.ZArith.Zeuclid.html
index d364a0b5a7..ddb18057b9 100644
--- a/master/stdlib/Stdlib.ZArith.Zeuclid.html
+++ b/master/stdlib/Stdlib.ZArith.Zeuclid.html
@@ -62,7 +62,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zeuclid</h1>
 </div>
 
 <div class="doc">
-<a id="lab823"></a><h1 class="section">Definitions of division for binary integers, Euclid convention.</h1>
+<a id="lab516"></a><h1 class="section">Definitions of division for binary integers, Euclid convention.</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.ZArith.Zeven.html b/master/stdlib/Stdlib.ZArith.Zeven.html
index cfeb0a6ed7..238e591834 100644
--- a/master/stdlib/Stdlib.ZArith.Zeven.html
+++ b/master/stdlib/Stdlib.ZArith.Zeven.html
@@ -175,7 +175,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zeven</h1>
 </div>
 
 <div class="doc">
-<a id="lab845"></a><h1 class="section">Definition of <span class="inlinecode"><span class="id" title="var">Z.quot2</span></span>, <span class="inlinecode"><span class="id" title="var">Z.div2</span></span> and properties wrt <span class="inlinecode"><span class="id" title="var">Zeven</span></span></h1>
+<a id="lab438"></a><h1 class="section">Definition of <span class="inlinecode"><span class="id" title="var">Z.quot2</span></span>, <span class="inlinecode"><span class="id" title="var">Z.div2</span></span> and properties wrt <span class="inlinecode"><span class="id" title="var">Zeven</span></span></h1>
 
   and <span class="inlinecode"><span class="id" title="var">Zodd</span></span> 
 <div class="paragraph"> </div>
diff --git a/master/stdlib/Stdlib.ZArith.Zgcd_alt.html b/master/stdlib/Stdlib.ZArith.Zgcd_alt.html
index 507aa967fd..7c8326a078 100644
--- a/master/stdlib/Stdlib.ZArith.Zgcd_alt.html
+++ b/master/stdlib/Stdlib.ZArith.Zgcd_alt.html
@@ -48,7 +48,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zgcd_alt</h1>
 </div>
 
 <div class="doc">
-<a id="lab914"></a><h1 class="section">Zgcd_alt : an alternate version of Z.gcd, based on Euclid's algorithm</h1>
+<a id="lab517"></a><h1 class="section">Zgcd_alt : an alternate version of Z.gcd, based on Euclid's algorithm</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.ZArith.Zhints.html b/master/stdlib/Stdlib.ZArith.Zhints.html
index 3a8c0040b0..c945802113 100644
--- a/master/stdlib/Stdlib.ZArith.Zhints.html
+++ b/master/stdlib/Stdlib.ZArith.Zhints.html
@@ -101,7 +101,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zhints</h1>
 </div>
 
 <div class="doc">
-<a id="lab820"></a><h1 class="section">Simplification lemmas</h1>
+<a id="lab528"></a><h1 class="section">Simplification lemmas</h1>
 
 <div class="paragraph"> </div>
 
@@ -115,7 +115,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zhints</h1>
 &nbsp;&nbsp;</div>
 
 <div class="doc">
-<a id="lab821"></a><h2 class="section">Reversible simplification lemmas (no loss of information)</h2>
+<a id="lab529"></a><h2 class="section">Reversible simplification lemmas (no loss of information)</h2>
  Should clearly be declared as hints                               
 <div class="paragraph"> </div>
 
@@ -170,7 +170,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zhints</h1>
 &nbsp;&nbsp;</div>
 
 <div class="doc">
-<a id="lab822"></a><h2 class="section">Irreversible simplification lemmas</h2>
+<a id="lab530"></a><h2 class="section">Irreversible simplification lemmas</h2>
  Probably to be declared as hints, when no other simplification is possible 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.ZArith.Znat.html b/master/stdlib/Stdlib.ZArith.Znat.html
index 1684188834..537e633a75 100644
--- a/master/stdlib/Stdlib.ZArith.Znat.html
+++ b/master/stdlib/Stdlib.ZArith.Znat.html
@@ -94,7 +94,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Znat</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab817"></a><h1 class="section">Chains of conversions</h1>
+<a id="lab430"></a><h1 class="section">Chains of conversions</h1>
 
 <div class="paragraph"> </div>
 
@@ -147,7 +147,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Znat</h1>
 </div>
 
 <div class="doc">
-<a id="lab818"></a><h1 class="section">Conversions between <span class="inlinecode"><span class="id" title="var">Z</span></span> and <span class="inlinecode"><span class="id" title="var">N</span></span></h1>
+<a id="lab431"></a><h1 class="section">Conversions between <span class="inlinecode"><span class="id" title="var">Z</span></span> and <span class="inlinecode"><span class="id" title="var">N</span></span></h1>
 
 </div>
 <div class="code">
@@ -551,7 +551,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Znat</h1>
 </div>
 
 <div class="doc">
-<a id="lab819"></a><h1 class="section">Conversions between <span class="inlinecode"><span class="id" title="var">Z</span></span> and <span class="inlinecode"><span class="id" title="var">nat</span></span></h1>
+<a id="lab432"></a><h1 class="section">Conversions between <span class="inlinecode"><span class="id" title="var">Z</span></span> and <span class="inlinecode"><span class="id" title="var">nat</span></span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Znumtheory.html b/master/stdlib/Stdlib.ZArith.Znumtheory.html
index 521d9e2bff..a001d52dfb 100644
--- a/master/stdlib/Stdlib.ZArith.Znumtheory.html
+++ b/master/stdlib/Stdlib.ZArith.Znumtheory.html
@@ -244,7 +244,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Znumtheory</h1>
 </div>
 
 <div class="doc">
-<a id="lab830"></a><h1 class="section">Greatest common divisor (gcd).</h1>
+<a id="lab433"></a><h1 class="section">Greatest common divisor (gcd).</h1>
 
 <div class="paragraph"> </div>
 
@@ -306,7 +306,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Znumtheory</h1>
 </div>
 
 <div class="doc">
-<a id="lab831"></a><h1 class="section">Extended Euclid algorithm.</h1>
+<a id="lab434"></a><h1 class="section">Extended Euclid algorithm.</h1>
 
 </div>
 <div class="code">
@@ -394,7 +394,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Znumtheory</h1>
 </div>
 
 <div class="doc">
-<a id="lab832"></a><h1 class="section">Bezout's coefficients</h1>
+<a id="lab435"></a><h1 class="section">Bezout's coefficients</h1>
 
 </div>
 <div class="code">
@@ -430,7 +430,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Znumtheory</h1>
 </div>
 
 <div class="doc">
-<a id="lab833"></a><h1 class="section">Relative primality</h1>
+<a id="lab436"></a><h1 class="section">Relative primality</h1>
 
 </div>
 <div class="code">
@@ -524,7 +524,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Znumtheory</h1>
 </div>
 
 <div class="doc">
-<a id="lab834"></a><h1 class="section">Primality</h1>
+<a id="lab437"></a><h1 class="section">Primality</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zorder.html b/master/stdlib/Stdlib.ZArith.Zorder.html
index 388d50dfa3..6422b4fcaa 100644
--- a/master/stdlib/Stdlib.ZArith.Zorder.html
+++ b/master/stdlib/Stdlib.ZArith.Zorder.html
@@ -70,7 +70,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 Properties of the order relations on binary integers 
 <div class="paragraph"> </div>
 
-<a id="lab835"></a><h1 class="section">Trichotomy</h1>
+<a id="lab518"></a><h1 class="section">Trichotomy</h1>
 
 </div>
 <div class="code">
@@ -85,7 +85,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 </div>
 
 <div class="doc">
-<a id="lab836"></a><h1 class="section">Decidability of equality and order on Z</h1>
+<a id="lab519"></a><h1 class="section">Decidability of equality and order on Z</h1>
 
 </div>
 <div class="code">
@@ -111,7 +111,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 </div>
 
 <div class="doc">
-<a id="lab837"></a><h1 class="section">Relating strict and large orders</h1>
+<a id="lab520"></a><h1 class="section">Relating strict and large orders</h1>
 
 </div>
 <div class="code">
@@ -151,7 +151,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 </div>
 
 <div class="doc">
-<a id="lab838"></a><h1 class="section">Equivalence and order properties</h1>
+<a id="lab521"></a><h1 class="section">Equivalence and order properties</h1>
 
 <div class="paragraph"> </div>
 
@@ -275,11 +275,11 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 </div>
 
 <div class="doc">
-<a id="lab839"></a><h1 class="section">Compatibility of order and operations on Z</h1>
+<a id="lab522"></a><h1 class="section">Compatibility of order and operations on Z</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab840"></a><h2 class="section">Successor</h2>
+<a id="lab523"></a><h2 class="section">Successor</h2>
 
 <div class="paragraph"> </div>
 
@@ -457,7 +457,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 </div>
 
 <div class="doc">
-<a id="lab841"></a><h2 class="section">Addition</h2>
+<a id="lab524"></a><h2 class="section">Addition</h2>
  Compatibility of addition wrt to order 
 </div>
 <div class="code">
@@ -527,7 +527,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 </div>
 
 <div class="doc">
-<a id="lab842"></a><h2 class="section">Multiplication</h2>
+<a id="lab525"></a><h2 class="section">Multiplication</h2>
  Compatibility of multiplication by a positive wrt to order 
 </div>
 <div class="code">
@@ -655,7 +655,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 </div>
 
 <div class="doc">
-<a id="lab843"></a><h2 class="section">Square</h2>
+<a id="lab526"></a><h2 class="section">Square</h2>
  Simplification of square wrt order 
 </div>
 <div class="code">
@@ -670,7 +670,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zorder</h1>
 </div>
 
 <div class="doc">
-<a id="lab844"></a><h1 class="section">Equivalence between inequalities</h1>
+<a id="lab527"></a><h1 class="section">Equivalence between inequalities</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zpow_def.html b/master/stdlib/Stdlib.ZArith.Zpow_def.html
index 3a85da4ec6..ec3a49ef61 100644
--- a/master/stdlib/Stdlib.ZArith.Zpow_def.html
+++ b/master/stdlib/Stdlib.ZArith.Zpow_def.html
@@ -52,7 +52,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zpow_def</h1>
 </div>
 
 <div class="doc">
-<a id="lab913"></a><h1 class="section">Power functions over <span class="inlinecode"><span class="id" title="var">Z</span></span></h1>
+<a id="lab533"></a><h1 class="section">Power functions over <span class="inlinecode"><span class="id" title="var">Z</span></span></h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.ZArith.Zpow_facts.html b/master/stdlib/Stdlib.ZArith.Zpow_facts.html
index c87a9b738b..6df4dae659 100644
--- a/master/stdlib/Stdlib.ZArith.Zpow_facts.html
+++ b/master/stdlib/Stdlib.ZArith.Zpow_facts.html
@@ -131,7 +131,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zpow_facts</h1>
 </div>
 
 <div class="doc">
-<a id="lab897"></a><h1 class="section">Z.pow and modulo</h1>
+<a id="lab439"></a><h1 class="section">Z.pow and modulo</h1>
 
 </div>
 <div class="code">
@@ -207,7 +207,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zpow_facts</h1>
 </div>
 
 <div class="doc">
-<a id="lab898"></a><h1 class="section">Z.square: a direct definition of <span class="inlinecode"><span class="id" title="var">z</span>^2</span></h1>
+<a id="lab440"></a><h1 class="section">Z.square: a direct definition of <span class="inlinecode"><span class="id" title="var">z</span>^2</span></h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.ZArith.Zpower.html b/master/stdlib/Stdlib.ZArith.Zpower.html
index cd49717034..4aad63666e 100644
--- a/master/stdlib/Stdlib.ZArith.Zpower.html
+++ b/master/stdlib/Stdlib.ZArith.Zpower.html
@@ -53,7 +53,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab894"></a><h1 class="section">Power functions over <span class="inlinecode"><span class="id" title="var">Z</span></span></h1>
+<a id="lab499"></a><h1 class="section">Power functions over <span class="inlinecode"><span class="id" title="var">Z</span></span></h1>
 
 <div class="paragraph"> </div>
 
@@ -153,7 +153,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab895"></a><h1 class="section">Powers of 2</h1>
+<a id="lab500"></a><h1 class="section">Powers of 2</h1>
 
 <div class="paragraph"> </div>
 
@@ -282,7 +282,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zpower</h1>
 </div>
 
 <div class="doc">
-<a id="lab896"></a><h1 class="section">Division by a power of two.</h1>
+<a id="lab501"></a><h1 class="section">Division by a power of two.</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.ZArith.Zquot.html b/master/stdlib/Stdlib.ZArith.Zquot.html
index 3aa6799027..0aa672140d 100644
--- a/master/stdlib/Stdlib.ZArith.Zquot.html
+++ b/master/stdlib/Stdlib.ZArith.Zquot.html
@@ -152,7 +152,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zquot</h1>
 </div>
 
 <div class="doc">
-<a id="lab919"></a><h1 class="section">Division and Opposite</h1>
+<a id="lab502"></a><h1 class="section">Division and Opposite</h1>
 
 </div>
 <div class="code">
@@ -231,7 +231,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zquot</h1>
 </div>
 
 <div class="doc">
-<a id="lab920"></a><h1 class="section">Unicity results</h1>
+<a id="lab503"></a><h1 class="section">Unicity results</h1>
 
 </div>
 <div class="code">
@@ -264,7 +264,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zquot</h1>
 </div>
 
 <div class="doc">
-<a id="lab921"></a><h1 class="section">Order results about Zrem and Zquot</h1>
+<a id="lab504"></a><h1 class="section">Order results about Zrem and Zquot</h1>
 
 </div>
 <div class="code">
@@ -362,7 +362,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zquot</h1>
 </div>
 
 <div class="doc">
-<a id="lab922"></a><h1 class="section">Relations between usual operations and Z.modulo and Z.div</h1>
+<a id="lab505"></a><h1 class="section">Relations between usual operations and Z.modulo and Z.div</h1>
 
 <div class="paragraph"> </div>
 
@@ -526,7 +526,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.Zquot</h1>
 </div>
 
 <div class="doc">
-<a id="lab923"></a><h1 class="section">Interaction with "historic" Zdiv</h1>
+<a id="lab506"></a><h1 class="section">Interaction with "historic" Zdiv</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/stdlib/Stdlib.ZArith.auxiliary.html b/master/stdlib/Stdlib.ZArith.auxiliary.html
index 5e13cb7d42..dc8ca0e5b5 100644
--- a/master/stdlib/Stdlib.ZArith.auxiliary.html
+++ b/master/stdlib/Stdlib.ZArith.auxiliary.html
@@ -67,7 +67,7 @@ <h1 class="libtitle">Library Stdlib.ZArith.auxiliary</h1>
 </div>
 
 <div class="doc">
-<a id="lab940"></a><h1 class="section">Moving terms from one side to the other of an inequality</h1>
+<a id="lab553"></a><h1 class="section">Moving terms from one side to the other of an inequality</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.btauto.Algebra.html b/master/stdlib/Stdlib.btauto.Algebra.html
index 753f72f38e..d1335346a1 100644
--- a/master/stdlib/Stdlib.btauto.Algebra.html
+++ b/master/stdlib/Stdlib.btauto.Algebra.html
@@ -143,7 +143,7 @@ <h1 class="libtitle">Library Stdlib.btauto.Algebra</h1>
 </div>
 
 <div class="doc">
-<a id="lab52"></a><h1 class="section">Global, inductive definitions.</h1>
+<a id="lab325"></a><h1 class="section">Global, inductive definitions.</h1>
 
 <div class="paragraph"> </div>
 
@@ -216,7 +216,7 @@ <h1 class="libtitle">Library Stdlib.btauto.Algebra</h1>
 </div>
 
 <div class="doc">
-<a id="lab53"></a><h1 class="section">The core reflexive part.</h1>
+<a id="lab326"></a><h1 class="section">The core reflexive part.</h1>
 
 </div>
 <div class="code">
diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html
index bd54a1d16b..67c669cb7b 100644
--- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html
+++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html
@@ -61,11 +61,11 @@ <h1 class="libtitle">Library Stdlib.extraction.ExtrHaskellNatInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab377"></a><h1 class="section">Disclaimer: trying to obtain efficient certified programs</h1>
+<a id="lab303"></a><h1 class="section">Disclaimer: trying to obtain efficient certified programs</h1>
 
-<a id="lab378"></a><h1 class="section">by extracting <span class="inlinecode"><span class="id" title="var">nat</span></span> into <span class="inlinecode"><span class="id" title="var">Int</span></span> is definitively *not* a good idea.</h1>
+<a id="lab304"></a><h1 class="section">by extracting <span class="inlinecode"><span class="id" title="var">nat</span></span> into <span class="inlinecode"><span class="id" title="var">Int</span></span> is definitively *not* a good idea.</h1>
 
-<a id="lab379"></a><h1 class="section">See comments in <span class="inlinecode"><span class="id" title="var">ExtrOcamlNatInt.v</span></span>.</h1>
+<a id="lab305"></a><h1 class="section">See comments in <span class="inlinecode"><span class="id" title="var">ExtrOcamlNatInt.v</span></span>.</h1>
 
  
 </div>
diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html
index 086e03cba0..b552e42281 100644
--- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html
+++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html
@@ -61,11 +61,11 @@ <h1 class="libtitle">Library Stdlib.extraction.ExtrHaskellNatInteger</h1>
 </div>
 
 <div class="doc">
-<a id="lab385"></a><h1 class="section">Disclaimer: trying to obtain efficient certified programs</h1>
+<a id="lab322"></a><h1 class="section">Disclaimer: trying to obtain efficient certified programs</h1>
 
-<a id="lab386"></a><h1 class="section">by extracting <span class="inlinecode"><span class="id" title="var">nat</span></span> into <span class="inlinecode"><span class="id" title="var">Integer</span></span> isn't necessarily a good idea.</h1>
+<a id="lab323"></a><h1 class="section">by extracting <span class="inlinecode"><span class="id" title="var">nat</span></span> into <span class="inlinecode"><span class="id" title="var">Integer</span></span> isn't necessarily a good idea.</h1>
 
-<a id="lab387"></a><h1 class="section">See comments in <span class="inlinecode"><span class="id" title="var">ExtrOcamlNatInt.v</span></span>.</h1>
+<a id="lab324"></a><h1 class="section">See comments in <span class="inlinecode"><span class="id" title="var">ExtrOcamlNatInt.v</span></span>.</h1>
 
 
 </div>
diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html
index 16919627ec..cbe1e33eec 100644
--- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html
+++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html
@@ -46,15 +46,15 @@ <h1 class="libtitle">Library Stdlib.extraction.ExtrHaskellNatNum</h1>
 </div>
 
 <div class="doc">
-<a id="lab372"></a><h1 class="section">Efficient (but uncertified) extraction of usual <span class="inlinecode"><span class="id" title="var">nat</span></span> functions</h1>
+<a id="lab317"></a><h1 class="section">Efficient (but uncertified) extraction of usual <span class="inlinecode"><span class="id" title="var">nat</span></span> functions</h1>
 
-<a id="lab373"></a><h1 class="section">into equivalent versions in Haskell's Prelude that are defined</h1>
+<a id="lab318"></a><h1 class="section">into equivalent versions in Haskell's Prelude that are defined</h1>
 
-<a id="lab374"></a><h1 class="section">for any <span class="inlinecode"><span class="id" title="var">Num</span></span> typeclass instances.  Useful in combination with</h1>
+<a id="lab319"></a><h1 class="section">for any <span class="inlinecode"><span class="id" title="var">Num</span></span> typeclass instances.  Useful in combination with</h1>
 
-<a id="lab375"></a><h1 class="section"><span class="inlinecode"><span class="id" title="keyword">Extract</span></span> <span class="inlinecode"><span class="id" title="keyword">Inductive</span></span> <span class="inlinecode"><span class="id" title="var">nat</span></span> that maps <span class="inlinecode"><span class="id" title="var">nat</span></span> onto a Haskell type that</h1>
+<a id="lab320"></a><h1 class="section"><span class="inlinecode"><span class="id" title="keyword">Extract</span></span> <span class="inlinecode"><span class="id" title="keyword">Inductive</span></span> <span class="inlinecode"><span class="id" title="var">nat</span></span> that maps <span class="inlinecode"><span class="id" title="var">nat</span></span> onto a Haskell type that</h1>
 
-<a id="lab376"></a><h1 class="section">implements <span class="inlinecode"><span class="id" title="var">Num</span></span>.</h1>
+<a id="lab321"></a><h1 class="section">implements <span class="inlinecode"><span class="id" title="var">Num</span></span>.</h1>
 
  
 </div>
diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellString.html b/master/stdlib/Stdlib.extraction.ExtrHaskellString.html
index 4f5af891bb..cea7818ee7 100644
--- a/master/stdlib/Stdlib.extraction.ExtrHaskellString.html
+++ b/master/stdlib/Stdlib.extraction.ExtrHaskellString.html
@@ -46,7 +46,7 @@ <h1 class="libtitle">Library Stdlib.extraction.ExtrHaskellString</h1>
 </div>
 
 <div class="doc">
-<a id="lab363"></a><h1 class="section">Special handling of ascii and strings for extraction to Haskell.</h1>
+<a id="lab311"></a><h1 class="section">Special handling of ascii and strings for extraction to Haskell.</h1>
 
  
 </div>
@@ -67,16 +67,16 @@ <h1 class="libtitle">Library Stdlib.extraction.ExtrHaskellString</h1>
 </div>
 
 <div class="doc">
-<a id="lab364"></a><h1 class="section">At the moment, Coq's extraction has no way to add extra import</h1>
+<a id="lab312"></a><h1 class="section">At the moment, Coq's extraction has no way to add extra import</h1>
 
-<a id="lab365"></a><h1 class="section">statements to the extracted Haskell code.  You will have to</h1>
+<a id="lab313"></a><h1 class="section">statements to the extracted Haskell code.  You will have to</h1>
 
-<a id="lab366"></a><h1 class="section">manually add:</h1>
+<a id="lab314"></a><h1 class="section">manually add:</h1>
 
  *
-<a id="lab367"></a><h1 class="section">import qualified Data.Bits</h1>
+<a id="lab315"></a><h1 class="section">import qualified Data.Bits</h1>
 
-<a id="lab368"></a><h1 class="section">import qualified Data.Char</h1>
+<a id="lab316"></a><h1 class="section">import qualified Data.Char</h1>
 
  
 </div>
diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html b/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html
index f3d1b74104..27dfc2f349 100644
--- a/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html
+++ b/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html
@@ -61,11 +61,11 @@ <h1 class="libtitle">Library Stdlib.extraction.ExtrHaskellZInt</h1>
 </div>
 
 <div class="doc">
-<a id="lab369"></a><h1 class="section">Disclaimer: trying to obtain efficient certified programs</h1>
+<a id="lab300"></a><h1 class="section">Disclaimer: trying to obtain efficient certified programs</h1>
 
-<a id="lab370"></a><h1 class="section">by extracting <span class="inlinecode"><span class="id" title="var">Z</span></span> into <span class="inlinecode"><span class="id" title="var">Int</span></span> is definitively *not* a good idea.</h1>
+<a id="lab301"></a><h1 class="section">by extracting <span class="inlinecode"><span class="id" title="var">Z</span></span> into <span class="inlinecode"><span class="id" title="var">Int</span></span> is definitively *not* a good idea.</h1>
 
-<a id="lab371"></a><h1 class="section">See comments in <span class="inlinecode"><span class="id" title="var">ExtrOcamlNatInt.v</span></span>.</h1>
+<a id="lab302"></a><h1 class="section">See comments in <span class="inlinecode"><span class="id" title="var">ExtrOcamlNatInt.v</span></span>.</h1>
 
  
 </div>
diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html b/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html
index cc005038ab..094b6c1860 100644
--- a/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html
+++ b/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html
@@ -46,15 +46,15 @@ <h1 class="libtitle">Library Stdlib.extraction.ExtrHaskellZNum</h1>
 </div>
 
 <div class="doc">
-<a id="lab380"></a><h1 class="section">Efficient (but uncertified) extraction of usual <span class="inlinecode"><span class="id" title="var">Z</span></span> functions</h1>
+<a id="lab306"></a><h1 class="section">Efficient (but uncertified) extraction of usual <span class="inlinecode"><span class="id" title="var">Z</span></span> functions</h1>
 
-<a id="lab381"></a><h1 class="section">into equivalent versions in Haskell's Prelude that are defined</h1>
+<a id="lab307"></a><h1 class="section">into equivalent versions in Haskell's Prelude that are defined</h1>
 
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diff --git a/master/stdlib/Stdlib.omega.PreOmega.html b/master/stdlib/Stdlib.omega.PreOmega.html
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--- a/master/stdlib/Stdlib.omega.PreOmega.html
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index ce5339c1c9..e6e6d26231 100644
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index fe9683e6b4..e0d658c7c0 100644
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 <a href="Stdlib.Init.Tauto.html">Tauto</a> [library]<br/>
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diff --git a/master/stdlib/index_global_W.html b/master/stdlib/index_global_W.html
index 781a53a79b..9851a11be1 100644
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@@ -928,8 +928,8 @@
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index 194e9b98fe..20d0401f48 100644
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 <a href="Stdlib.Init.Byte.html">Byte</a> <br/>
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diff --git a/master/stdlib/index_library_T.html b/master/stdlib/index_library_T.html
index 43fd622372..1da147be24 100644
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-<a href="Stdlib.micromega.Tauto.html">Tauto</a> <br/>
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 <a href="Stdlib.Init.Tauto.html">Tauto</a> <br/>
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index 0c3bc6fbeb..a61b43f052 100644
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@@ -526,8 +526,8 @@
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