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b/master/api/coq-core/Loadpath/index.html index dc04f2dbf8..3b364f1280 100644 --- a/master/api/coq-core/Loadpath/index.html +++ b/master/api/coq-core/Loadpath/index.html @@ -1,2 +1,2 @@ -Loadpath (coq-core.Loadpath)

Module Loadpath

* Load paths.

A load path is a physical path in the file system; to each load path is associated a Coq DirPath.t (the "logical" path of the physical path).

type t

Type of loadpath bindings.

val logical : t -> Names.DirPath.t

Get the logical path (Coq module hierarchy) of a loadpath.

val physical : t -> CUnix.physical_path

Get the physical path of a loadpath

val pp : t -> Pp.t

Print a load path

val get_load_paths : unit -> t list

Get the current loadpath association.

val remove_load_path : CUnix.physical_path -> unit

Remove the current logical path binding associated to a given physical path, if any.

val find_load_path : CUnix.physical_path -> t

Get the binding associated with a physical path. Raises Not_found if there is none.

val find_with_logical_path : Names.DirPath.t -> t list

get the list of load paths that correspond to a given logical path

val find_extra_dep_with_logical_path : ?loc:Loc.t -> from:Names.DirPath.t -> file:string -> unit -> CUnix.physical_path

finds a file rooted in from.

  • raises UserError

    if the file is not found

val locate_file : string -> string

Locate a file among the registered paths. Do not use this function, as it does not respect the visibility of paths.

module Error : sig ... end
val locate_qualified_library : ?root:Names.DirPath.t -> Libnames.qualid -> (Names.DirPath.t * CUnix.physical_path, Error.t) Stdlib.Result.t
val locate_absolute_library : Names.DirPath.t -> (CUnix.physical_path, Error.t) Stdlib.Result.t

Locates a library by implicit name.

  • returns

    LibUnmappedDir if the library is not in the path

  • returns

    LibNotFound if there is no corresponding file in the path

Extending the Load Path
type vo_path = {
unix_path : string;(*

Filesystem path containing vo/ml files

*)
coq_path : Names.DirPath.t;(*

Coq prefix for the path

*)
implicit : bool;(*

implicit = true avoids having to qualify with coq_path true for -R, false for -Q in command line

*)
has_ml : bool;(*

If has_ml is true, the directory will also be added to the ml include path

*)
recursive : bool;(*

recursive will determine whether we explore sub-directories

*)
}

Adds a path to the Coq and ML paths

val add_vo_path : vo_path -> unit
\ No newline at end of file +Loadpath (coq-core.Loadpath)

Module Loadpath

* Load paths.

A load path is a physical path in the file system; to each load path is associated a Coq DirPath.t (the "logical" path of the physical path).

type t

Type of loadpath bindings.

val logical : t -> Names.DirPath.t

Get the logical path (Coq module hierarchy) of a loadpath.

val physical : t -> CUnix.physical_path

Get the physical path of a loadpath

val pp : t -> Pp.t

Print a load path

val get_load_paths : unit -> t list

Get the current loadpath association.

val remove_load_path : CUnix.physical_path -> unit

Remove the current logical path binding associated to a given physical path, if any.

val find_load_path : CUnix.physical_path -> t

Get the binding associated with a physical path. Raises Not_found if there is none.

val find_with_logical_path : Names.DirPath.t -> t list

get the list of load paths that correspond to a given logical path

val find_extra_dep_with_logical_path : ?loc:Loc.t -> from:Names.DirPath.t -> file:string -> unit -> CUnix.physical_path

finds a file rooted in from.

  • raises UserError

    if the file is not found

val locate_file : string -> string

Locate a file among the registered paths. Do not use this function, as it does not respect the visibility of paths.

module Error : sig ... end
val locate_qualified_library : ?root:Names.DirPath.t -> Libnames.qualid -> (Names.DirPath.t * CUnix.physical_path, Error.t) Stdlib.Result.t
val locate_absolute_library : Names.DirPath.t -> (CUnix.physical_path, Error.t) Stdlib.Result.t

Locates a library by implicit name.

  • returns

    LibUnmappedDir if the library is not in the path

  • returns

    LibNotFound if there is no corresponding file in the path

Extending the Load Path
type vo_path = {
unix_path : string;(*

Filesystem path containing vo/ml files

*)
coq_path : Names.DirPath.t;(*

Coq prefix for the path

*)
implicit : bool;(*

implicit = true avoids having to qualify with coq_path true for -R, false for -Q in command line

*)
recursive : bool;(*

recursive will determine whether we explore sub-directories

*)
}

Adds a path to the Coq and ML paths

val add_vo_path : vo_path -> unit
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  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.19
  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
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  • Version 8.8
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  • Version 8.6
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  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.19
  • Version 8.18
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  • Version 8.1
  • Version 8.0
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  • Version 8.1
  • Version 8.0
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  • Version 8.15
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  • Version 8.5
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  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
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  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
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  • Version 8.10
  • Version 8.9
  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
      -
    • Summary of changes
      • +
    • Summary of changes
    • Details of changes in 8.0beta old syntax
    • Details of changes in 8.0beta new syntax
    • Details of changes in 8.0
      • @@ -1264,24 +1264,24 @@

      Unreleased changes

      -

      Kernel

      +

      Kernel

      -

      Notations

      +

      Notations

      • Fixed: spurious warning about incompatible prefixes in presence of as @@ -1389,7 +1389,7 @@

        Notations

      -

      Tactics

      +

      Tactics

      • Changed:

        The reduction tactic hnf becomes insensitive to the @@ -1444,10 +1444,10 @@

        Tactics

      -

      Ltac language

      +

      Ltac language

      -

      Ltac2 language

      +

      Ltac2 language

      • Added: Added Ltac2 bindings for congruence and simpl congruence, it fixes #14289 not entirely but provides Ltac2 bindings for one of the tactics listed there @@ -1484,7 +1484,7 @@

        Ltac2 language -

        SSReflect

        +

        SSReflect

        • Changed: The done tactic now tries to apply sym_equal with four arguments @@ -1499,7 +1499,7 @@

          SSReflect

      -

      Commands and options

      +

      Commands and options

      -

      Extraction

      +

      Extraction

      -

      Miscellaneous

      +

      Miscellaneous

      +
        +

      • Changed: +the current working directory is not implicitly added to the ML search path +(#19834, +by Gaëtan Gilbert).

        • +
      @@ -1898,25 +1904,25 @@

      Summary of changes

      Changes in 8.20.0

      -
      -
      -

      Predecesor/Successor functions

      +

      Predecesor/Successor functions

      @@ -266,7 +266,7 @@

      Library Stdlib.Floats.PrimFloat

      -

      Special values (needed for pretty-printing)

      +

      Special values (needed for pretty-printing)

      @@ -283,7 +283,7 @@

      Library Stdlib.Floats.PrimFloat

      -

      Other special values

      +

      Other special values

      @@ -296,7 +296,7 @@

      Library Stdlib.Floats.PrimFloat

      -

      Predicates and helper functions

      +

      Predicates and helper functions

      diff --git a/master/stdlib/Stdlib.Floats.SpecFloat.html b/master/stdlib/Stdlib.Floats.SpecFloat.html index 7d0684393e..bc0b4d6510 100644 --- a/master/stdlib/Stdlib.Floats.SpecFloat.html +++ b/master/stdlib/Stdlib.Floats.SpecFloat.html @@ -52,7 +52,7 @@

      Library Stdlib.Floats.SpecFloat

      -

      Specification of floating-point arithmetic

      +

      Specification of floating-point arithmetic

      @@ -61,7 +61,7 @@

      Library Stdlib.Floats.SpecFloat

      of the Flocq library (see http://flocq.gforge.inria.fr/)
      -

      Inductive specification of floating-point numbers

      +

      Inductive specification of floating-point numbers

      @@ -79,7 +79,7 @@

      Library Stdlib.Floats.SpecFloat

      -

      Parameterized definitions

      +

      Parameterized definitions

      @@ -242,7 +242,7 @@

      Library Stdlib.Floats.SpecFloat

      -

      Define operations

      +

      Define operations

      diff --git a/master/stdlib/Stdlib.Init.Byte.html b/master/stdlib/Stdlib.Init.Byte.html index a26f61114c..655d20eb74 100644 --- a/master/stdlib/Stdlib.Init.Byte.html +++ b/master/stdlib/Stdlib.Init.Byte.html @@ -49,7 +49,7 @@

      Library Stdlib.Init.Byte

      -

      Bytes

      +

      Bytes

      diff --git a/master/stdlib/Stdlib.Init.Datatypes.html b/master/stdlib/Stdlib.Init.Datatypes.html index 0f4933541d..8ed0316688 100644 --- a/master/stdlib/Stdlib.Init.Datatypes.html +++ b/master/stdlib/Stdlib.Init.Datatypes.html @@ -57,7 +57,7 @@

      Library Stdlib.Init.Datatypes

      -

      Datatypes with zero and one element

      +

      Datatypes with zero and one element

      @@ -91,7 +91,7 @@

      Library Stdlib.Init.Datatypes

      -

      The boolean datatype

      +

      The boolean datatype

      @@ -262,7 +262,7 @@

      Library Stdlib.Init.Datatypes

      -

      Peano natural numbers

      +

      Peano natural numbers

      @@ -297,7 +297,7 @@

      Library Stdlib.Init.Datatypes

      -

      Container datatypes

      +

      Container datatypes

      @@ -502,7 +502,7 @@

      Library Stdlib.Init.Datatypes

      -

      The comparison datatype

      +

      The comparison datatype

      @@ -620,7 +620,7 @@

      Library Stdlib.Init.Datatypes

      -

      Misc Other Datatypes

      +

      Misc Other Datatypes

      diff --git a/master/stdlib/Stdlib.Init.Decimal.html b/master/stdlib/Stdlib.Init.Decimal.html index bd83675d03..2e7b616f96 100644 --- a/master/stdlib/Stdlib.Init.Decimal.html +++ b/master/stdlib/Stdlib.Init.Decimal.html @@ -49,7 +49,7 @@

      Library Stdlib.Init.Decimal

      -

      Decimal numbers

      +

      Decimal numbers

      diff --git a/master/stdlib/Stdlib.Init.Hexadecimal.html b/master/stdlib/Stdlib.Init.Hexadecimal.html index 6da42ae096..d496bf3f65 100644 --- a/master/stdlib/Stdlib.Init.Hexadecimal.html +++ b/master/stdlib/Stdlib.Init.Hexadecimal.html @@ -49,7 +49,7 @@

      Library Stdlib.Init.Hexadecimal

      -

      Hexadecimal numbers

      +

      Hexadecimal numbers

      diff --git a/master/stdlib/Stdlib.Init.Logic.html b/master/stdlib/Stdlib.Init.Logic.html index 40b8a1c995..782aec6b2b 100644 --- a/master/stdlib/Stdlib.Init.Logic.html +++ b/master/stdlib/Stdlib.Init.Logic.html @@ -59,7 +59,7 @@

      Library Stdlib.Init.Logic

      -

      Propositional connectives

      +

      Propositional connectives

      @@ -314,7 +314,7 @@

      Library Stdlib.Init.Logic

      -

      First-order quantifiers

      +

      First-order quantifiers

      @@ -467,7 +467,7 @@

      Library Stdlib.Init.Logic

      -

      Equality

      +

      Equality

      @@ -867,7 +867,7 @@

      Library Stdlib.Init.Logic

      -

      Being inhabited

      +

      Being inhabited

      diff --git a/master/stdlib/Stdlib.Init.Nat.html b/master/stdlib/Stdlib.Init.Nat.html index 533aab3ad3..3f18d6038d 100644 --- a/master/stdlib/Stdlib.Init.Nat.html +++ b/master/stdlib/Stdlib.Init.Nat.html @@ -54,7 +54,7 @@

      Library Stdlib.Init.Nat

      -

      Peano natural numbers, definitions of operations

      +

      Peano natural numbers, definitions of operations

      @@ -71,7 +71,7 @@

      Library Stdlib.Init.Nat

      -

      Constants

      +

      Constants

      @@ -90,7 +90,7 @@

      Library Stdlib.Init.Nat

      -

      Basic operations

      +

      Basic operations

      @@ -159,7 +159,7 @@

      Library Stdlib.Init.Nat

      -

      Comparisons

      +

      Comparisons

      @@ -205,7 +205,7 @@

      Library Stdlib.Init.Nat

      -

      Minimum, maximum

      +

      Minimum, maximum

      @@ -230,7 +230,7 @@

      Library Stdlib.Init.Nat

      -

      Parity tests

      +

      Parity tests

      @@ -250,7 +250,7 @@

      Library Stdlib.Init.Nat

      -

      Power

      +

      Power

      @@ -268,7 +268,7 @@

      Library Stdlib.Init.Nat

      -

      Tail-recursive versions of add and mul

      +

      Tail-recursive versions of add and mul

      @@ -302,7 +302,7 @@

      Library Stdlib.Init.Nat

      -

      Conversion with a decimal representation for printing/parsing

      +

      Conversion with a decimal representation for printing/parsing

      @@ -426,7 +426,7 @@

      Library Stdlib.Init.Nat

      -

      Euclidean division

      +

      Euclidean division

      @@ -469,7 +469,7 @@

      Library Stdlib.Init.Nat

      -

      Greatest common divisor

      +

      Greatest common divisor

      @@ -491,7 +491,7 @@

      Library Stdlib.Init.Nat

      -

      Square

      +

      Square

      @@ -503,7 +503,7 @@

      Library Stdlib.Init.Nat

      -

      Square root

      +

      Square root

      @@ -541,7 +541,7 @@

      Library Stdlib.Init.Nat

      -

      Log2

      +

      Log2

      diff --git a/master/stdlib/Stdlib.Init.Number.html b/master/stdlib/Stdlib.Init.Number.html index e2a933796f..75b2b470d3 100644 --- a/master/stdlib/Stdlib.Init.Number.html +++ b/master/stdlib/Stdlib.Init.Number.html @@ -49,7 +49,7 @@

      Library Stdlib.Init.Number

      -

      Decimal or Hexadecimal numbers

      +

      Decimal or Hexadecimal numbers

      diff --git a/master/stdlib/Stdlib.Init.Tactics.html b/master/stdlib/Stdlib.Init.Tactics.html index 39a57b7e56..f3939c28ef 100644 --- a/master/stdlib/Stdlib.Init.Tactics.html +++ b/master/stdlib/Stdlib.Init.Tactics.html @@ -55,7 +55,7 @@

      Library Stdlib.Init.Tactics

      -

      Useful tactics

      +

      Useful tactics

      @@ -376,7 +376,7 @@

      Library Stdlib.Init.Tactics

      -

      inversion_sigma

      +

      inversion_sigma

      The built-in inversion will frequently leave equalities of dependent pairs. When the first type in the pair is an hProp or otherwise simplifies, inversion_sigma is useful; it will replace diff --git a/master/stdlib/Stdlib.Init.Tauto.html b/master/stdlib/Stdlib.Init.Tauto.html index 84aa2896d2..cfa2336e8d 100644 --- a/master/stdlib/Stdlib.Init.Tauto.html +++ b/master/stdlib/Stdlib.Init.Tauto.html @@ -49,7 +49,7 @@

      Library Stdlib.Init.Tauto

      -

      The tauto and intuition tactics

      +

      The tauto and intuition tactics

      diff --git a/master/stdlib/Stdlib.Init.Wf.html b/master/stdlib/Stdlib.Init.Wf.html index c11b032af2..184dd25edf 100644 --- a/master/stdlib/Stdlib.Init.Wf.html +++ b/master/stdlib/Stdlib.Init.Wf.html @@ -49,7 +49,7 @@

      Library Stdlib.Init.Wf

      -

      This module proves the validity of

      +

      This module proves the validity of

      • well-founded recursion (also known as course of values) diff --git a/master/stdlib/Stdlib.Lists.List.html b/master/stdlib/Stdlib.Lists.List.html index 2a44e57c72..62d24970b6 100644 --- a/master/stdlib/Stdlib.Lists.List.html +++ b/master/stdlib/Stdlib.Lists.List.html @@ -56,7 +56,7 @@

        Library Stdlib.Lists.List

      -

      Basics: definition of polymorphic lists and some operations

      +

      Basics: definition of polymorphic lists and some operations

      @@ -148,7 +148,7 @@

      Library Stdlib.Lists.List

      -

      Generic facts

      +

      Generic facts

      @@ -183,7 +183,7 @@

      Library Stdlib.Lists.List

      -

      Head and tail

      +

      Head and tail

      @@ -198,7 +198,7 @@

      Library Stdlib.Lists.List

      -

      Facts about app

      +

      Facts about app

      @@ -316,7 +316,7 @@

      Library Stdlib.Lists.List

      -

      Facts about In

      +

      Facts about In

      @@ -403,7 +403,7 @@

      Library Stdlib.Lists.List

      -

      Operations on the elements of a list

      +

      Operations on the elements of a list

      @@ -418,7 +418,7 @@

      Library Stdlib.Lists.List

      -

      Nth element of a list

      +

      Nth element of a list

      @@ -620,7 +620,7 @@

      Library Stdlib.Lists.List

      -

      Last element of a list

      +

      Last element of a list

      @@ -675,7 +675,7 @@

      Library Stdlib.Lists.List

      -

      Remove

      +

      Remove

      @@ -726,7 +726,7 @@

      Library Stdlib.Lists.List

      -

      Counting occurrences of an element

      +

      Counting occurrences of an element

      @@ -789,7 +789,7 @@

      Library Stdlib.Lists.List

      -

      Manipulating whole lists

      +

      Manipulating whole lists

      @@ -804,7 +804,7 @@

      Library Stdlib.Lists.List

      -

      Reverse

      +

      Reverse

      @@ -901,7 +901,7 @@

      Library Stdlib.Lists.List

      -

      Concatenation

      +

      Concatenation

      @@ -930,7 +930,7 @@

      Library Stdlib.Lists.List

      -

      Decidable equality on lists

      +

      Decidable equality on lists

      @@ -951,11 +951,11 @@

      Library Stdlib.Lists.List

      -

      Applying functions to the elements of a list

      +

      Applying functions to the elements of a list

      -

      Map

      +

      Map

      @@ -1046,7 +1046,7 @@

      Library Stdlib.Lists.List

      -

      Flat Map

      +

      Flat Map

      @@ -1228,7 +1228,7 @@

      Library Stdlib.Lists.List

      -

      Boolean operations over lists

      +

      Boolean operations over lists

      @@ -1395,7 +1395,7 @@

      Library Stdlib.Lists.List

      -

      Further filtering facts

      +

      Further filtering facts

      @@ -1489,7 +1489,7 @@

      Library Stdlib.Lists.List

      -

      Operations on lists of pairs or lists of lists

      +

      Operations on lists of pairs or lists of lists

      @@ -1621,11 +1621,11 @@

      Library Stdlib.Lists.List

      -

      Miscellaneous operations on lists

      +

      Miscellaneous operations on lists

      -

      Length order of lists

      +

      Length order of lists

      @@ -1669,7 +1669,7 @@

      Library Stdlib.Lists.List

      -

      Set inclusion on list

      +

      Set inclusion on list

      @@ -1759,7 +1759,7 @@

      Library Stdlib.Lists.List

      -

      Cutting a list at some position

      +

      Cutting a list at some position

      @@ -1938,7 +1938,7 @@

      Library Stdlib.Lists.List

      -

      Combining pairs of lists of possibly-different lengths

      +

      Combining pairs of lists of possibly-different lengths

      @@ -1970,7 +1970,7 @@

      Library Stdlib.Lists.List

      -

      Predicate for List addition/removal (no need for decidability)

      +

      Predicate for List addition/removal (no need for decidability)

      @@ -2014,7 +2014,7 @@

      Library Stdlib.Lists.List

      -

      Lists without redundancy

      +

      Lists without redundancy

      @@ -2166,7 +2166,7 @@

      Library Stdlib.Lists.List

      -

      Sequence of natural numbers

      +

      Sequence of natural numbers

      @@ -2233,7 +2233,7 @@

      Library Stdlib.Lists.List

      -

      List comparison

      +

      List comparison

      @@ -2379,7 +2379,7 @@

      Library Stdlib.Lists.List

      -

      Existential and universal predicates over lists

      +

      Existential and universal predicates over lists

      @@ -2911,7 +2911,7 @@

      Library Stdlib.Lists.List

      -

      Inversion of predicates over lists based on head symbol

      +

      Inversion of predicates over lists based on head symbol

      @@ -2939,7 +2939,7 @@

      Library Stdlib.Lists.List

      -

      Exporting hints and tactics

      +

      Exporting hints and tactics

      diff --git a/master/stdlib/Stdlib.Lists.SetoidList.html b/master/stdlib/Stdlib.Lists.SetoidList.html index f94f29ab18..c28af4cc8b 100644 --- a/master/stdlib/Stdlib.Lists.SetoidList.html +++ b/master/stdlib/Stdlib.Lists.SetoidList.html @@ -53,7 +53,7 @@

      Library Stdlib.Lists.SetoidList

      -

      Logical relations over lists with respect to a setoid equality

      +

      Logical relations over lists with respect to a setoid equality

      or ordering.
      diff --git a/master/stdlib/Stdlib.Lists.StreamMemo.html b/master/stdlib/Stdlib.Lists.StreamMemo.html index 9b9ed1d0aa..4b622656bd 100644 --- a/master/stdlib/Stdlib.Lists.StreamMemo.html +++ b/master/stdlib/Stdlib.Lists.StreamMemo.html @@ -53,7 +53,7 @@

      Library Stdlib.Lists.StreamMemo

      -

      Memoization

      +

      Memoization

      diff --git a/master/stdlib/Stdlib.Logic.ChoiceFacts.html b/master/stdlib/Stdlib.Logic.ChoiceFacts.html index b6cb990dd1..6a07001a8f 100644 --- a/master/stdlib/Stdlib.Logic.ChoiceFacts.html +++ b/master/stdlib/Stdlib.Logic.ChoiceFacts.html @@ -50,7 +50,7 @@

      Library Stdlib.Logic.ChoiceFacts

      Some facts and definitions concerning choice and description in - intuitionistic logic.

      References:

      + intuitionistic logic.

      References:

      @@ -89,7 +89,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Definitions

      +

      Definitions

      @@ -116,7 +116,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Constructive choice and description

      +

      Constructive choice and description

      @@ -346,7 +346,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Weakly classical choice and description

      +

      Weakly classical choice and description

      @@ -625,7 +625,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Table of contents

      +

      Table of contents

      @@ -682,7 +682,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      AC_rel + AC! = AC_fun

      +

      AC_rel + AC! = AC_fun

      @@ -722,7 +722,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Connection between the guarded, non guarded and omniscient choices

      +

      Connection between the guarded, non guarded and omniscient choices

      @@ -733,7 +733,7 @@

      Library Stdlib.Logic.ChoiceFacts

      irrelevance)
      -

      AC_rel + PI -> GAC_rel and AC_rel + IGP -> GAC_rel and GAC_rel = OAC_rel

      +

      AC_rel + PI -> GAC_rel and AC_rel + IGP -> GAC_rel and GAC_rel = OAC_rel

      @@ -771,7 +771,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      AC_fun + IGP = GAC_fun = OAC_fun = AC_fun + Drinker

      +

      AC_fun + IGP = GAC_fun = OAC_fun = AC_fun + Drinker

      @@ -846,7 +846,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      D_iota -> ID_iota and D_epsilon <-> ID_epsilon + Drinker

      +

      D_iota -> ID_iota and D_epsilon <-> ID_epsilon + Drinker

      @@ -890,7 +890,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Derivability of choice for decidable relations with well-ordered codomain

      +

      Derivability of choice for decidable relations with well-ordered codomain

      @@ -923,11 +923,11 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      AC_fun = AC_fun_dep = AC_trunc

      +

      AC_fun = AC_fun_dep = AC_trunc

      -

      Choice on dependent and non dependent function types are equivalent

      +

      Choice on dependent and non dependent function types are equivalent

      @@ -966,7 +966,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Functional choice and truncation choice are equivalent

      +

      Functional choice and truncation choice are equivalent

      @@ -983,7 +983,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Reification of dependent and non dependent functional relation are equivalent

      +

      Reification of dependent and non dependent functional relation are equivalent

      @@ -1018,11 +1018,11 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Non contradiction of constructive descriptions wrt functional axioms of choice

      +

      Non contradiction of constructive descriptions wrt functional axioms of choice

      -

      Non contradiction of indefinite description

      +

      Non contradiction of indefinite description

      @@ -1040,7 +1040,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Non contradiction of definite description

      +

      Non contradiction of definite description

      @@ -1084,7 +1084,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Excluded-middle + definite description => computational excluded-middle

      +

      Excluded-middle + definite description => computational excluded-middle

      @@ -1128,7 +1128,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Choice => Dependent choice => Countable choice

      +

      Choice => Dependent choice => Countable choice

      @@ -1148,7 +1148,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      About the axiom of choice over setoids

      +

      About the axiom of choice over setoids

      @@ -1160,7 +1160,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Consequences of the choice of a representative in an equivalence class

      +

      Consequences of the choice of a representative in an equivalence class

      @@ -1181,7 +1181,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      This is a variant of Diaconescu and Goodman-Myhill theorems

      +

      This is a variant of Diaconescu and Goodman-Myhill theorems

      @@ -1198,7 +1198,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      AC_fun_setoid = AC_fun_setoid_gen = AC_fun_setoid_simple

      +

      AC_fun_setoid = AC_fun_setoid_gen = AC_fun_setoid_simple

      @@ -1231,7 +1231,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      AC_fun_setoid = AC! + AC_fun_repr

      +

      AC_fun_setoid = AC! + AC_fun_repr

      @@ -1267,7 +1267,7 @@

      Library Stdlib.Logic.ChoiceFacts

      functional forms, SetoidFunctionalChoice seems strictly stronger
      -

      AC_fun_setoid = AC_fun + Ext_fun_repr + EM

      +

      AC_fun_setoid = AC_fun + Ext_fun_repr + EM

      @@ -1279,7 +1279,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      This is the main theorem in [Carlström04]

      +

      This is the main theorem in [Carlström04]

      @@ -1303,7 +1303,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      AC_fun_setoid = AC_fun + Ext_pred_repr + PI

      +

      AC_fun_setoid = AC_fun + Ext_pred_repr + PI

      @@ -1327,7 +1327,7 @@

      Library Stdlib.Logic.ChoiceFacts

      -

      Compatibility notations

      +

      Compatibility notations

      diff --git a/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html b/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html index 2c08ea2716..6915086054 100644 --- a/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html +++ b/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html @@ -133,7 +133,7 @@

      Library Stdlib.Logic.ClassicalEpsilon

      -

      Weaker lemmas (compatibility lemmas)

      +

      Weaker lemmas (compatibility lemmas)

      diff --git a/master/stdlib/Stdlib.Logic.ClassicalFacts.html b/master/stdlib/Stdlib.Logic.ClassicalFacts.html index c7676fcc15..353b1ba5e6 100644 --- a/master/stdlib/Stdlib.Logic.ClassicalFacts.html +++ b/master/stdlib/Stdlib.Logic.ClassicalFacts.html @@ -118,7 +118,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      Prop degeneracy = excluded-middle + prop extensionality

      +

      Prop degeneracy = excluded-middle + prop extensionality

      @@ -194,11 +194,11 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      Classical logic and proof-irrelevance

      +

      Classical logic and proof-irrelevance

      -

      CC |- prop ext + A inhabited -> (A = A->A) -> A has fixpoint

      +

      CC |- prop ext + A inhabited -> (A = A->A) -> A has fixpoint

      @@ -251,7 +251,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      CC |- prop_ext /\ dep elim on bool -> proof-irrelevance

      +

      CC |- prop_ext /\ dep elim on bool -> proof-irrelevance

      @@ -348,7 +348,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      CIC |- prop. ext. -> proof-irrelevance

      +

      CIC |- prop. ext. -> proof-irrelevance

      @@ -402,7 +402,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      CC |- excluded-middle + dep elim on bool -> proof-irrelevance

      +

      CC |- excluded-middle + dep elim on bool -> proof-irrelevance

      @@ -574,7 +574,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      CIC |- excluded-middle -> proof-irrelevance

      +

      CIC |- excluded-middle -> proof-irrelevance

      @@ -639,7 +639,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      Weak classical axioms

      +

      Weak classical axioms

      @@ -661,7 +661,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      Weak excluded-middle

      +

      Weak excluded-middle

      @@ -716,7 +716,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      Gödel-Dummett axiom

      +

      Gödel-Dummett axiom

      @@ -787,7 +787,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      Independence of general premises and drinker's paradox

      +

      Independence of general premises and drinker's paradox

      @@ -963,11 +963,11 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      Axioms equivalent to classical logic

      +

      Axioms equivalent to classical logic

      -

      Principle of unrestricted minimization

      +

      Principle of unrestricted minimization

      @@ -1040,7 +1040,7 @@

      Library Stdlib.Logic.ClassicalFacts

      -

      Choice of representatives in a partition of bool

      +

      Choice of representatives in a partition of bool

      diff --git a/master/stdlib/Stdlib.Logic.Diaconescu.html b/master/stdlib/Stdlib.Logic.Diaconescu.html index 19508f0445..d18072b507 100644 --- a/master/stdlib/Stdlib.Logic.Diaconescu.html +++ b/master/stdlib/Stdlib.Logic.Diaconescu.html @@ -108,7 +108,7 @@

      Library Stdlib.Logic.Diaconescu

      -

      Pred. Ext. + Rel. Axiom of Choice -> Excluded-Middle

      +

      Pred. Ext. + Rel. Axiom of Choice -> Excluded-Middle

      @@ -204,7 +204,7 @@

      Library Stdlib.Logic.Diaconescu

      -

      Proof-Irrel. + Rel. Axiom of Choice -> Excl.-Middle for Equality

      +

      Proof-Irrel. + Rel. Axiom of Choice -> Excl.-Middle for Equality

      @@ -311,7 +311,7 @@

      Library Stdlib.Logic.Diaconescu

      -

      Extensional Hilbert's epsilon description operator -> Excluded-Middle

      +

      Extensional Hilbert's epsilon description operator -> Excluded-Middle

      diff --git a/master/stdlib/Stdlib.Logic.EqdepFacts.html b/master/stdlib/Stdlib.Logic.EqdepFacts.html index 6fd1c4ca3a..c0a085cc48 100644 --- a/master/stdlib/Stdlib.Logic.EqdepFacts.html +++ b/master/stdlib/Stdlib.Logic.EqdepFacts.html @@ -116,7 +116,7 @@

      Library Stdlib.Logic.EqdepFacts

      -

      Definition of dependent equality and equivalence with equality of dependent pairs

      +

      Definition of dependent equality and equivalence with equality of dependent pairs

      @@ -284,7 +284,7 @@

      Library Stdlib.Logic.EqdepFacts

      -

      Eq_rect_eq <-> Eq_dep_eq <-> UIP <-> UIP_refl <-> K

      +

      Eq_rect_eq <-> Eq_dep_eq <-> UIP <-> UIP_refl <-> K

      @@ -510,7 +510,7 @@

      Library Stdlib.Logic.EqdepFacts

      -

      Definition of the functor that builds properties of dependent equalities assuming axiom eq_rect_eq

      +

      Definition of the functor that builds properties of dependent equalities assuming axiom eq_rect_eq

      diff --git a/master/stdlib/Stdlib.Logic.Eqdep_dec.html b/master/stdlib/Stdlib.Logic.Eqdep_dec.html index 3916b0221a..17db886ef5 100644 --- a/master/stdlib/Stdlib.Logic.Eqdep_dec.html +++ b/master/stdlib/Stdlib.Logic.Eqdep_dec.html @@ -88,7 +88,7 @@

      Library Stdlib.Logic.Eqdep_dec

      -

      Streicher's K and injectivity of dependent pair hold on decidable types

      +

      Streicher's K and injectivity of dependent pair hold on decidable types

      @@ -246,7 +246,7 @@

      Library Stdlib.Logic.Eqdep_dec

      -

      Definition of the functor that builds properties of dependent equalities on decidable sets in Type

      +

      Definition of the functor that builds properties of dependent equalities on decidable sets in Type

      @@ -370,7 +370,7 @@

      Library Stdlib.Logic.Eqdep_dec

      -

      Definition of the functor that builds properties of dependent equalities on decidable sets in Set

      +

      Definition of the functor that builds properties of dependent equalities on decidable sets in Set

      diff --git a/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html b/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html index 6514b97976..c666ef7a41 100644 --- a/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html +++ b/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html @@ -105,7 +105,7 @@

      Library Stdlib.Logic.ExtensionalityFacts

      -

      Definitions

      +

      Definitions

      @@ -197,7 +197,7 @@

      Library Stdlib.Logic.ExtensionalityFacts

      -

      Functional extensionality <-> Equality of projections from diagonal

      +

      Functional extensionality <-> Equality of projections from diagonal

      @@ -209,7 +209,7 @@

      Library Stdlib.Logic.ExtensionalityFacts

      -

      Functional extensionality <-> Unicity of bijection inverse

      +

      Functional extensionality <-> Unicity of bijection inverse

      @@ -227,7 +227,7 @@

      Library Stdlib.Logic.ExtensionalityFacts

      -

      Functional extensionality <-> Bijectivity of bijective composition

      +

      Functional extensionality <-> Bijectivity of bijective composition

      diff --git a/master/stdlib/Stdlib.Logic.FinFun.html b/master/stdlib/Stdlib.Logic.FinFun.html index 7f81787e9a..1fee886912 100644 --- a/master/stdlib/Stdlib.Logic.FinFun.html +++ b/master/stdlib/Stdlib.Logic.FinFun.html @@ -49,7 +49,7 @@

      Library Stdlib.Logic.FinFun

      -

      Functions on finite domains

      +

      Functions on finite domains

      diff --git a/master/stdlib/Stdlib.Logic.Hurkens.html b/master/stdlib/Stdlib.Logic.Hurkens.html index f85eb49c25..b6211eb5ae 100644 --- a/master/stdlib/Stdlib.Logic.Hurkens.html +++ b/master/stdlib/Stdlib.Logic.Hurkens.html @@ -176,7 +176,7 @@

      Library Stdlib.Logic.Hurkens

      -

      A modular proof of Hurkens's paradox.

      +

      A modular proof of Hurkens's paradox.

      @@ -203,7 +203,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Axiomatisation of impredicative universes in a Martin-Löf style

      +

      Axiomatisation of impredicative universes in a Martin-Löf style

      @@ -214,7 +214,7 @@

      Library Stdlib.Logic.Hurkens

      actual system U-.
      -

      Large universe

      +

      Large universe

      @@ -223,7 +223,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Closure by small product

      +

      Closure by small product

      @@ -239,7 +239,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Closure by large products

      +

      Closure by large products

      U1 only needs to quantify over itself.
      @@ -256,7 +256,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Small universe

      +

      Small universe

      The small universe is an element of the large one.
      @@ -266,7 +266,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Closure by small product

      +

      Closure by small product

      U0 does not need reduction rules
      @@ -280,7 +280,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Closure by large products

      +

      Closure by large products

      @@ -295,7 +295,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Automating the rewrite rules of our encoding.

      +

      Automating the rewrite rules of our encoding.

      @@ -313,7 +313,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Hurkens's paradox.

      +

      Hurkens's paradox.

      @@ -326,7 +326,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Preliminary definitions

      +

      Preliminary definitions

      @@ -355,7 +355,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Proof

      +

      Proof

      @@ -440,7 +440,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Impredicative universes are not retracts.

      +

      Impredicative universes are not retracts.

      @@ -467,7 +467,7 @@

      Library Stdlib.Logic.Hurkens

      -

      U1 is impredicative

      +

      U1 is impredicative

      @@ -494,7 +494,7 @@

      Library Stdlib.Logic.Hurkens

      -

      U0 is a retract of U1

      +

      U0 is a retract of U1

      @@ -507,7 +507,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Paradox

      +

      Paradox

      @@ -571,7 +571,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Modal fragments of Prop are not retracts

      +

      Modal fragments of Prop are not retracts

      @@ -590,7 +590,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Monadic modality

      +

      Monadic modality

      @@ -613,7 +613,7 @@

      Library Stdlib.Logic.Hurkens

      -

      The universe of modal propositions

      +

      The universe of modal propositions

      @@ -643,7 +643,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Retract of the modal fragment of Prop in a small type

      +

      Retract of the modal fragment of Prop in a small type

      @@ -663,7 +663,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Paradox

      +

      Paradox

      @@ -722,7 +722,7 @@

      Library Stdlib.Logic.Hurkens

      -

      The negative fragment of Prop is not a retract

      +

      The negative fragment of Prop is not a retract

      @@ -739,7 +739,7 @@

      Library Stdlib.Logic.Hurkens

      -

      The universe of negative propositions.

      +

      The universe of negative propositions.

      @@ -755,7 +755,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Retract of the negative fragment of Prop in a small type

      +

      Retract of the negative fragment of Prop in a small type

      @@ -775,7 +775,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Paradox

      +

      Paradox

      @@ -806,7 +806,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Prop is not a retract

      +

      Prop is not a retract

      @@ -823,7 +823,7 @@

      Library Stdlib.Logic.Hurkens

      -

      The universe of propositions.

      +

      The universe of propositions.

      @@ -839,7 +839,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Retract of Prop in a small type, using the identity modality.

      +

      Retract of Prop in a small type, using the identity modality.

      @@ -855,7 +855,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Paradox

      +

      Paradox

      @@ -886,7 +886,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Retract of Prop in a small type

      +

      Retract of Prop in a small type

      @@ -904,7 +904,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Paradox

      +

      Paradox

      @@ -931,7 +931,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Large universes are not retracts of Prop.

      +

      Large universes are not retracts of Prop.

      @@ -956,7 +956,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Assumption of a retract from Type into Prop

      +

      Assumption of a retract from Type into Prop

      @@ -970,7 +970,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Paradox

      +

      Paradox

      @@ -1025,7 +1025,7 @@

      Library Stdlib.Logic.Hurkens

      -

      A<>Type

      +

      A<>Type

      @@ -1046,7 +1046,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Universe U is equal to one of its elements.

      +

      Universe U is equal to one of its elements.

      @@ -1060,7 +1060,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Universe U is a retract of A

      +

      Universe U is a retract of A

      @@ -1150,7 +1150,7 @@

      Library Stdlib.Logic.Hurkens

      -

      Prop<>Type.

      +

      Prop<>Type.

      diff --git a/master/stdlib/Stdlib.Logic.PropExtensionalityFacts.html b/master/stdlib/Stdlib.Logic.PropExtensionalityFacts.html index 8f62f70940..65d5520aaa 100644 --- a/master/stdlib/Stdlib.Logic.PropExtensionalityFacts.html +++ b/master/stdlib/Stdlib.Logic.PropExtensionalityFacts.html @@ -117,7 +117,7 @@

      Library Stdlib.Logic.PropExtensionalityFacts

      -

      Definitions

      +

      Definitions

      @@ -181,11 +181,11 @@

      Library Stdlib.Logic.PropExtensionalityFacts

      -

      Propositional and predicate extensionality

      +

      Propositional and predicate extensionality

      -

      Predicate extensionality <-> Propositional extensionality + Propositional functional extensionality

      +

      Predicate extensionality <-> Propositional extensionality + Propositional functional extensionality

      @@ -208,7 +208,7 @@

      Library Stdlib.Logic.PropExtensionalityFacts

      -

      Propositional extensionality and provable proposition extensionality

      +

      Propositional extensionality and provable proposition extensionality

      @@ -220,7 +220,7 @@

      Library Stdlib.Logic.PropExtensionalityFacts

      -

      Propositional extensionality and refutable proposition extensionality

      +

      Propositional extensionality and refutable proposition extensionality

      diff --git a/master/stdlib/Stdlib.Logic.PropFacts.html b/master/stdlib/Stdlib.Logic.PropFacts.html index 23a516d0c5..c79f765906 100644 --- a/master/stdlib/Stdlib.Logic.PropFacts.html +++ b/master/stdlib/Stdlib.Logic.PropFacts.html @@ -49,7 +49,7 @@

      Library Stdlib.Logic.PropFacts

      -

      Basic facts about Prop as a type

      +

      Basic facts about Prop as a type

      diff --git a/master/stdlib/Stdlib.Logic.SetIsType.html b/master/stdlib/Stdlib.Logic.SetIsType.html index bf9cccf737..c6f99d6462 100644 --- a/master/stdlib/Stdlib.Logic.SetIsType.html +++ b/master/stdlib/Stdlib.Logic.SetIsType.html @@ -49,7 +49,7 @@

      Library Stdlib.Logic.SetIsType

      -

      The Set universe seen as a synonym for Type

      +

      The Set universe seen as a synonym for Type

      diff --git a/master/stdlib/Stdlib.MSets.MSetAVL.html b/master/stdlib/Stdlib.MSets.MSetAVL.html index c2b18d34c8..e3a50aea70 100644 --- a/master/stdlib/Stdlib.MSets.MSetAVL.html +++ b/master/stdlib/Stdlib.MSets.MSetAVL.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      MSetAVL : Implementation of MSetInterface via AVL trees

      +

      MSetAVL : Implementation of MSetInterface via AVL trees

      @@ -91,7 +91,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Ops : the pure functions

      +

      Ops : the pure functions

      @@ -105,7 +105,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Generic trees instantiated with integer height

      +

      Generic trees instantiated with integer height

      @@ -125,7 +125,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Height of trees

      +

      Height of trees

      @@ -141,7 +141,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Singleton set

      +

      Singleton set

      @@ -153,7 +153,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Helper functions

      +

      Helper functions

      @@ -216,7 +216,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Insertion

      +

      Insertion

      @@ -236,7 +236,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Join

      +

      Join

      @@ -265,7 +265,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Extraction of minimum element

      +

      Extraction of minimum element

      @@ -289,7 +289,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Merging two trees

      +

      Merging two trees

      @@ -313,7 +313,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Deletion

      +

      Deletion

      @@ -333,7 +333,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Concatenation

      +

      Concatenation

      @@ -357,7 +357,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Splitting

      +

      Splitting

      @@ -397,7 +397,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Intersection

      +

      Intersection

      @@ -416,7 +416,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Difference

      +

      Difference

      @@ -435,7 +435,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Union

      +

      Union

      @@ -466,7 +466,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Filter

      +

      Filter

      @@ -484,7 +484,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Partition

      +

      Partition

      @@ -507,7 +507,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      MakeRaw

      +

      MakeRaw

      @@ -780,7 +780,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Singleton set

      +

      Singleton set

      @@ -796,7 +796,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Helper functions

      +

      Helper functions

      @@ -823,7 +823,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Insertion

      +

      Insertion

      @@ -847,7 +847,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Join

      +

      Join

      @@ -886,7 +886,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Extraction of minimum element

      +

      Extraction of minimum element

      @@ -910,7 +910,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Merging two trees

      +

      Merging two trees

      @@ -929,7 +929,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Deletion

      +

      Deletion

      @@ -946,7 +946,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Concatenation

      +

      Concatenation

      @@ -965,7 +965,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Splitting

      +

      Splitting

      @@ -997,7 +997,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Intersection

      +

      Intersection

      @@ -1027,7 +1027,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Difference

      +

      Difference

      @@ -1048,7 +1048,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Union

      +

      Union

      @@ -1065,7 +1065,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Filter

      +

      Filter

      @@ -1087,7 +1087,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Partition

      +

      Partition

      @@ -1124,7 +1124,7 @@

      Library Stdlib.MSets.MSetAVL

      -

      Encapsulation

      +

      Encapsulation

      diff --git a/master/stdlib/Stdlib.MSets.MSetDecide.html b/master/stdlib/Stdlib.MSets.MSetDecide.html index 355bfa5bca..5e2d30cb76 100644 --- a/master/stdlib/Stdlib.MSets.MSetDecide.html +++ b/master/stdlib/Stdlib.MSets.MSetDecide.html @@ -75,7 +75,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Overview

      +

      Overview

      This functor defines the tactic fsetdec, which will solve any valid goal of the form @@ -181,7 +181,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Facts and Tactics for Propositional Logic

      +

      Facts and Tactics for Propositional Logic

      These lemmas and tactics are in a module so that they do not affect the namespace if you import the enclosing @@ -196,18 +196,18 @@

      Library Stdlib.MSets.MSetDecide

      -

      Lemmas and Tactics About Decidable Propositions

      +

      Lemmas and Tactics About Decidable Propositions

      -

      Propositional Equivalences Involving Negation

      +

      Propositional Equivalences Involving Negation

      These are all written with the unfolded form of negation, since I am not sure if setoid rewriting will always perform conversion.
      -

      Tactics for Negations

      +

      Tactics for Negations

      @@ -458,7 +458,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Auxiliary Tactics

      +

      Auxiliary Tactics

      Again, these lemmas and tactics are in a module so that they do not affect the namespace if you import the @@ -471,7 +471,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Generic Tactics

      +

      Generic Tactics

      We begin by defining a few generic, useful tactics.
      @@ -588,7 +588,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Discarding Irrelevant Hypotheses

      +

      Discarding Irrelevant Hypotheses

      We will want to clear the context of any non-MSet-related hypotheses in order to increase the @@ -668,7 +668,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Turning Set Operators into Propositional Connectives

      +

      Turning Set Operators into Propositional Connectives

      The lemmas from MSetFacts will be used to break down set operations into propositional formulas built over @@ -694,7 +694,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Decidability of MSet Propositions

      +

      Decidability of MSet Propositions

      @@ -729,7 +729,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Normalizing Propositions About Equality

      +

      Normalizing Propositions About Equality

      We have to deal with the fact that E.eq may be convertible with Coq's equality. Thus, we will find the @@ -812,7 +812,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Considering Decidability of Base Propositions

      +

      Considering Decidability of Base Propositions

      This tactic adds assertions about the decidability of E.eq and In to the context. This is necessary for @@ -861,7 +861,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Handling Empty, Subset, and Equal

      +

      Handling Empty, Subset, and Equal

      This tactic instantiates universally quantified hypotheses (which arise from the unfolding of Empty, @@ -909,7 +909,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      The Core fsetdec Auxiliary Tactics

      +

      The Core fsetdec Auxiliary Tactics

      @@ -951,7 +951,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      The fsetdec Tactic

      +

      The fsetdec Tactic

      Here is the top-level tactic (the only one intended for clients of this library). It's specification is given at @@ -1065,7 +1065,7 @@

      Library Stdlib.MSets.MSetDecide

      -

      Examples

      +

      Examples

      diff --git a/master/stdlib/Stdlib.MSets.MSetEqProperties.html b/master/stdlib/Stdlib.MSets.MSetEqProperties.html index b2a1d4a2b3..88296c183d 100644 --- a/master/stdlib/Stdlib.MSets.MSetEqProperties.html +++ b/master/stdlib/Stdlib.MSets.MSetEqProperties.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetEqProperties

      -

      Finite sets library

      +

      Finite sets library

      diff --git a/master/stdlib/Stdlib.MSets.MSetFacts.html b/master/stdlib/Stdlib.MSets.MSetFacts.html index 5fab2005b1..49d132e28a 100644 --- a/master/stdlib/Stdlib.MSets.MSetFacts.html +++ b/master/stdlib/Stdlib.MSets.MSetFacts.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetFacts

      -

      Finite sets library

      +

      Finite sets library

      @@ -88,7 +88,7 @@

      Library Stdlib.MSets.MSetFacts

      -

      Specifications written using implications :

      +

      Specifications written using implications :

      this used to be the default interface.
      @@ -205,7 +205,7 @@

      Library Stdlib.MSets.MSetFacts

      -

      Specifications written using equivalences :

      +

      Specifications written using equivalences :

      this is now provided by the default interface.
      @@ -294,7 +294,7 @@

      Library Stdlib.MSets.MSetFacts

      -

      Specifications written using boolean predicates

      +

      Specifications written using boolean predicates

      @@ -358,7 +358,7 @@

      Library Stdlib.MSets.MSetFacts

      -

      Declarations of morphisms with respects to E.eq and Equal

      +

      Declarations of morphisms with respects to E.eq and Equal

      diff --git a/master/stdlib/Stdlib.MSets.MSetGenTree.html b/master/stdlib/Stdlib.MSets.MSetGenTree.html index f7a4ccaded..c1053bd4ed 100644 --- a/master/stdlib/Stdlib.MSets.MSetGenTree.html +++ b/master/stdlib/Stdlib.MSets.MSetGenTree.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      MSetGenTree : sets via generic trees

      +

      MSetGenTree : sets via generic trees

      @@ -107,7 +107,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Ops : the pure functions

      +

      Ops : the pure functions

      @@ -129,7 +129,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      The empty set and emptyness test

      +

      The empty set and emptyness test

      @@ -148,7 +148,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Membership test

      +

      Membership test

      @@ -173,7 +173,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Minimal, maximal, arbitrary elements

      +

      Minimal, maximal, arbitrary elements

      @@ -201,7 +201,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Iteration on elements

      +

      Iteration on elements

      @@ -258,7 +258,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Testing universal or existential properties.

      +

      Testing universal or existential properties.

      @@ -283,7 +283,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Comparison of trees

      +

      Comparison of trees

      @@ -390,7 +390,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Subset test

      +

      Subset test

      @@ -449,7 +449,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Props : correctness proofs of these generic operations

      +

      Props : correctness proofs of these generic operations

      @@ -461,7 +461,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Occurrence in a tree

      +

      Occurrence in a tree

      @@ -479,7 +479,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Some shortcuts

      +

      Some shortcuts

      @@ -495,7 +495,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Binary search trees

      +

      Binary search trees

      @@ -573,7 +573,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Known facts about ordered types

      +

      Known facts about ordered types

      @@ -585,7 +585,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Automation and dedicated tactics

      +

      Automation and dedicated tactics

      @@ -692,7 +692,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Basic results about In

      +

      Basic results about In

      @@ -790,7 +790,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Empty set

      +

      Empty set

      @@ -806,7 +806,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Emptyness test

      +

      Emptyness test

      @@ -818,7 +818,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Membership

      +

      Membership

      @@ -830,7 +830,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Minimal and maximal elements

      +

      Minimal and maximal elements

      @@ -870,7 +870,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Elements

      +

      Elements

      @@ -946,7 +946,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      for_all and exists

      +

      for_all and exists

      @@ -963,7 +963,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Fold

      +

      Fold

      @@ -980,7 +980,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Subset

      +

      Subset

      @@ -1005,7 +1005,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Comparison

      +

      Comparison

      @@ -1107,7 +1107,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      Equality test

      +

      Equality test

      @@ -1120,7 +1120,7 @@

      Library Stdlib.MSets.MSetGenTree

      -

      A few results about mindepth and maxdepth

      +

      A few results about mindepth and maxdepth

      diff --git a/master/stdlib/Stdlib.MSets.MSetInterface.html b/master/stdlib/Stdlib.MSets.MSetInterface.html index a2884baca6..e33ce07b90 100644 --- a/master/stdlib/Stdlib.MSets.MSetInterface.html +++ b/master/stdlib/Stdlib.MSets.MSetInterface.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetInterface

      -

      Finite set library

      +

      Finite set library

      @@ -318,7 +318,7 @@

      Library Stdlib.MSets.MSetInterface

      -

      Functorial signature for weak sets

      +

      Functorial signature for weak sets

      @@ -432,7 +432,7 @@

      Library Stdlib.MSets.MSetInterface

      -

      Static signature for weak sets

      +

      Static signature for weak sets

      @@ -452,7 +452,7 @@

      Library Stdlib.MSets.MSetInterface

      -

      Functorial signature for sets on ordered elements

      +

      Functorial signature for sets on ordered elements

      @@ -564,7 +564,7 @@

      Library Stdlib.MSets.MSetInterface

      -

      Static signature for sets on ordered elements

      +

      Static signature for sets on ordered elements

      @@ -587,7 +587,7 @@

      Library Stdlib.MSets.MSetInterface

      -

      Some subtyping tests

      +

      Some subtyping tests

       WSetsOn ---> WSets
@@ -604,7 +604,7 @@ 
      Library Stdlib.MSets.MSetInterface
      
 
 
       
      
 
-
      Signatures for set representations with ill-formed values.
      
+
      Signatures for set representations with ill-formed values.
      
 
 
 
       
      
diff --git a/master/stdlib/Stdlib.MSets.MSetList.html b/master/stdlib/Stdlib.MSets.MSetList.html
index ad08167355..1f7b9d6159 100644
--- a/master/stdlib/Stdlib.MSets.MSetList.html
+++ b/master/stdlib/Stdlib.MSets.MSetList.html
@@ -49,7 +49,7 @@ 
      Library Stdlib.MSets.MSetList
      -

      Finite sets library

      +

      Finite sets library

      @@ -66,7 +66,7 @@

      Library Stdlib.MSets.MSetList

      -

      Functions over lists

      +

      Functions over lists

      @@ -94,7 +94,7 @@

      Library Stdlib.MSets.MSetList

      -

      The set operations.

      +

      The set operations.

      @@ -302,7 +302,7 @@

      Library Stdlib.MSets.MSetList

      -

      Proofs of set operation specifications.

      +

      Proofs of set operation specifications.

      @@ -643,7 +643,7 @@

      Library Stdlib.MSets.MSetList

      -

      Encapsulation

      +

      Encapsulation

      diff --git a/master/stdlib/Stdlib.MSets.MSetProperties.html b/master/stdlib/Stdlib.MSets.MSetProperties.html index 27032bb5ea..79a7a99062 100644 --- a/master/stdlib/Stdlib.MSets.MSetProperties.html +++ b/master/stdlib/Stdlib.MSets.MSetProperties.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Finite sets library

      +

      Finite sets library

      @@ -342,7 +342,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Properties of elements

      +

      Properties of elements

      @@ -357,7 +357,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Conversions between lists and sets

      +

      Conversions between lists and sets

      @@ -381,7 +381,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Fold

      +

      Fold

      @@ -409,7 +409,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Induction principles for fold (contributed by S. Lescuyer)

      +

      Induction principles for fold (contributed by S. Lescuyer)

      @@ -515,7 +515,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Alternative (weaker) specifications for fold

      +

      Alternative (weaker) specifications for fold

      @@ -587,7 +587,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Fold is a morphism

      +

      Fold is a morphism

      @@ -604,7 +604,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Fold and other set operators

      +

      Fold and other set operators

      @@ -656,11 +656,11 @@

      Library Stdlib.MSets.MSetProperties

      -

      Cardinal

      +

      Cardinal

      -

      Characterization of cardinal in terms of fold

      +

      Characterization of cardinal in terms of fold

      @@ -672,7 +672,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Old specifications for cardinal.

      +

      Old specifications for cardinal.

      @@ -695,7 +695,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Cardinal and (non-)emptiness

      +

      Cardinal and (non-)emptiness

      @@ -720,7 +720,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Cardinal is a morphism

      +

      Cardinal is a morphism

      @@ -740,7 +740,7 @@

      Library Stdlib.MSets.MSetProperties

      -

      Cardinal and set operators

      +

      Cardinal and set operators

      diff --git a/master/stdlib/Stdlib.MSets.MSetRBT.html b/master/stdlib/Stdlib.MSets.MSetRBT.html index b4ac959df4..4173cb9942 100644 --- a/master/stdlib/Stdlib.MSets.MSetRBT.html +++ b/master/stdlib/Stdlib.MSets.MSetRBT.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      MSetRBT : Implementation of MSetInterface via Red-Black trees

      +

      MSetRBT : Implementation of MSetInterface via Red-Black trees

      @@ -153,7 +153,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Ops : the pure functions

      +

      Ops : the pure functions

      @@ -165,7 +165,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Generic trees instantiated with color

      +

      Generic trees instantiated with color

      @@ -187,7 +187,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Basic tree

      +

      Basic tree

      @@ -199,7 +199,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Changing root color

      +

      Changing root color

      @@ -222,7 +222,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Balancing

      +

      Balancing

      @@ -303,7 +303,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Insertion

      +

      Insertion

      @@ -335,7 +335,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Deletion

      +

      Deletion

      @@ -395,7 +395,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Removing minimal element

      +

      Removing minimal element

      @@ -425,7 +425,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Tree-ification

      +

      Tree-ification

      @@ -488,7 +488,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Filtering

      +

      Filtering

      @@ -526,7 +526,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Union, intersection, difference

      +

      Union, intersection, difference

      @@ -686,7 +686,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      MakeRaw : the pure functions and their specifications

      +

      MakeRaw : the pure functions and their specifications

      @@ -724,7 +724,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Singleton set

      +

      Singleton set

      @@ -740,7 +740,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      makeBlack, MakeRed

      +

      makeBlack, MakeRed

      @@ -763,7 +763,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Generic handling for red-matching and red-red-matching

      +

      Generic handling for red-matching and red-red-matching

      @@ -888,7 +888,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Balancing for insertion

      +

      Balancing for insertion

      @@ -934,7 +934,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Insertion

      +

      Insertion

      @@ -967,7 +967,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Balancing for deletion

      +

      Balancing for deletion

      @@ -997,7 +997,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Append for deletion

      +

      Append for deletion

      @@ -1050,7 +1050,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Deletion

      +

      Deletion

      @@ -1081,7 +1081,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Removing the minimal element

      +

      Removing the minimal element

      @@ -1110,7 +1110,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Treeify

      +

      Treeify

      @@ -1162,7 +1162,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Filter

      +

      Filter

      @@ -1188,7 +1188,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Partition

      +

      Partition

      @@ -1224,7 +1224,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      An invariant for binary list functions with accumulator.

      +

      An invariant for binary list functions with accumulator.

      @@ -1271,7 +1271,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      union

      +

      union

      @@ -1319,7 +1319,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      inter

      +

      inter

      @@ -1360,7 +1360,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      difference

      +

      difference

      @@ -1409,7 +1409,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Balancing properties

      +

      Balancing properties

      @@ -1432,7 +1432,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Red-Black invariants

      +

      Red-Black invariants

      @@ -1503,7 +1503,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Basic tactics and results about red-black

      +

      Basic tactics and results about red-black

      @@ -1538,7 +1538,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      A Red-Black tree has indeed a logarithmic depth

      +

      A Red-Black tree has indeed a logarithmic depth

      @@ -1564,7 +1564,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Singleton

      +

      Singleton

      @@ -1576,7 +1576,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      makeBlack and makeRed

      +

      makeBlack and makeRed

      @@ -1592,7 +1592,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Balancing

      +

      Balancing

      @@ -1629,7 +1629,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Insertion

      +

      Insertion

      @@ -1662,7 +1662,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Deletion

      +

      Deletion

      @@ -1693,7 +1693,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Treeify

      +

      Treeify

      @@ -1740,7 +1740,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Filtering

      +

      Filtering

      @@ -1761,7 +1761,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Union, intersection, difference

      +

      Union, intersection, difference

      @@ -1790,7 +1790,7 @@

      Library Stdlib.MSets.MSetRBT

      -

      Final Encapsulation

      +

      Final Encapsulation

      diff --git a/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html b/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html index cd48f225c0..0c72e4d3d9 100644 --- a/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html +++ b/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetToFiniteSet

      -

      Finite sets library : conversion to old Finite_sets

      +

      Finite sets library : conversion to old Finite_sets

      @@ -62,7 +62,7 @@

      Library Stdlib.MSets.MSetToFiniteSet

      -

      Going from MSets with usual Leibniz equality

      +

      Going from MSets with usual Leibniz equality

      to the good old Ensembles and Finite_sets theory.
      diff --git a/master/stdlib/Stdlib.MSets.MSetWeakList.html b/master/stdlib/Stdlib.MSets.MSetWeakList.html index 4f1dab4dc0..d5f131b161 100644 --- a/master/stdlib/Stdlib.MSets.MSetWeakList.html +++ b/master/stdlib/Stdlib.MSets.MSetWeakList.html @@ -49,7 +49,7 @@

      Library Stdlib.MSets.MSetWeakList

      -

      Finite sets library

      +

      Finite sets library

      @@ -69,7 +69,7 @@

      Library Stdlib.MSets.MSetWeakList

      -

      Functions over lists

      +

      Functions over lists

      @@ -79,7 +79,7 @@

      Library Stdlib.MSets.MSetWeakList

      And the functions returning sets are proved to preserve this invariant.
      -

      The set operations.

      +

      The set operations.

      @@ -194,7 +194,7 @@

      Library Stdlib.MSets.MSetWeakList

      -

      Proofs of set operation specifications.

      +

      Proofs of set operation specifications.

      @@ -426,7 +426,7 @@

      Library Stdlib.MSets.MSetWeakList

      -

      Encapsulation

      +

      Encapsulation

      diff --git a/master/stdlib/Stdlib.NArith.BinNat.html b/master/stdlib/Stdlib.NArith.BinNat.html index d8997a416f..3bab6637c4 100644 --- a/master/stdlib/Stdlib.NArith.BinNat.html +++ b/master/stdlib/Stdlib.NArith.BinNat.html @@ -55,7 +55,7 @@

      Library Stdlib.NArith.BinNat

      -

      Binary natural numbers, operations and properties

      +

      Binary natural numbers, operations and properties

      @@ -895,7 +895,7 @@

      Library Stdlib.NArith.BinNat

      -

      Properties of iter

      +

      Properties of iter

      diff --git a/master/stdlib/Stdlib.NArith.BinNatDef.html b/master/stdlib/Stdlib.NArith.BinNatDef.html index b44d869065..ad9c79c018 100644 --- a/master/stdlib/Stdlib.NArith.BinNatDef.html +++ b/master/stdlib/Stdlib.NArith.BinNatDef.html @@ -61,7 +61,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      Binary natural numbers, definitions of operations

      +

      Binary natural numbers, definitions of operations

      @@ -76,7 +76,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      Nicer name N.pos for constructor Npos

      +

      Nicer name N.pos for constructor Npos

      @@ -88,7 +88,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      Constants

      +

      Constants

      @@ -102,7 +102,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      Operation x -> 2*x+1

      +

      Operation x -> 2*x+1

      @@ -118,7 +118,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      Operation x -> 2*x

      +

      Operation x -> 2*x

      @@ -134,7 +134,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      Successor

      +

      Successor

      @@ -150,7 +150,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      Predecessor

      +

      Predecessor

      @@ -166,7 +166,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      The successor of a N can be seen as a positive

      +

      The successor of a N can be seen as a positive

      @@ -182,7 +182,7 @@

      Library Stdlib.NArith.BinNatDef

      -

      Addition

      +

      Addition

      diff --git a/master/stdlib/Stdlib.NArith.Nnat.html b/master/stdlib/Stdlib.NArith.Nnat.html index a2de6719c2..41306b37b7 100644 --- a/master/stdlib/Stdlib.NArith.Nnat.html +++ b/master/stdlib/Stdlib.NArith.Nnat.html @@ -52,7 +52,7 @@

      Library Stdlib.NArith.Nnat

      -

      Conversions from N to nat

      +

      Conversions from N to nat

      @@ -168,7 +168,7 @@

      Library Stdlib.NArith.Nnat

      -

      Conversions from nat to N

      +

      Conversions from nat to N

      diff --git a/master/stdlib/Stdlib.Numbers.AltBinNotations.html b/master/stdlib/Stdlib.Numbers.AltBinNotations.html index e3c98c0f4a..f1cb1ba923 100644 --- a/master/stdlib/Stdlib.Numbers.AltBinNotations.html +++ b/master/stdlib/Stdlib.Numbers.AltBinNotations.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.AltBinNotations

      -

      Alternative Binary Number Notations

      +

      Alternative Binary Number Notations

      diff --git a/master/stdlib/Stdlib.Numbers.BinNums.html b/master/stdlib/Stdlib.Numbers.BinNums.html index 5e5e75c91a..dd16781cbf 100644 --- a/master/stdlib/Stdlib.Numbers.BinNums.html +++ b/master/stdlib/Stdlib.Numbers.BinNums.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.BinNums

      -

      Binary Numerical Datatypes

      +

      Binary Numerical Datatypes

      diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html index b96b997827..eeb1269e85 100644 --- a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html +++ b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms

      -

      Signature and specification of bounded integers

      +

      Signature and specification of bounded integers

      diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html index 5baa74861d..26dd77fadd 100644 --- a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html +++ b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html @@ -57,7 +57,7 @@

      Library Stdlib.Numbers.Cyclic.Abstract.NZCyclic

      -

      From CyclicType to NZAxiomsSig

      +

      From CyclicType to NZAxiomsSig

      diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html index 310ed80dad..fb368ee825 100644 --- a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html +++ b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.Cyclic.Int63.Cyclic63

      -

      Uint63 numbers defines indeed a cyclic structure : Z/(2^63)Z

      +

      Uint63 numbers defines indeed a cyclic structure : Z/(2^63)Z

      diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html index dc0a1b79d1..cd60778c65 100644 --- a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html +++ b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.Cyclic.Int63.Ring63

      -

      Uint63 numbers defines Z/(2^63)Z, and can hence be equipped

      +

      Uint63 numbers defines Z/(2^63)Z, and can hence be equipped

      with a ring structure and a ring tactic
      diff --git a/master/stdlib/Stdlib.Numbers.DecimalFacts.html b/master/stdlib/Stdlib.Numbers.DecimalFacts.html index 29494c0d0d..1ecabfc6bd 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalFacts.html +++ b/master/stdlib/Stdlib.Numbers.DecimalFacts.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.DecimalFacts

      -

      DecimalFacts : some facts about Decimal numbers

      +

      DecimalFacts : some facts about Decimal numbers

      diff --git a/master/stdlib/Stdlib.Numbers.DecimalN.html b/master/stdlib/Stdlib.Numbers.DecimalN.html index 59970e4ea7..d253f8e7cc 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalN.html +++ b/master/stdlib/Stdlib.Numbers.DecimalN.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.DecimalN

      -

      DecimalN

      +

      DecimalN

      diff --git a/master/stdlib/Stdlib.Numbers.DecimalNat.html b/master/stdlib/Stdlib.Numbers.DecimalNat.html index 3699bd06ca..10ebf28372 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalNat.html +++ b/master/stdlib/Stdlib.Numbers.DecimalNat.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.DecimalNat

      -

      DecimalNat

      +

      DecimalNat

      diff --git a/master/stdlib/Stdlib.Numbers.DecimalPos.html b/master/stdlib/Stdlib.Numbers.DecimalPos.html index 2fbd4d29d1..e02bb16195 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalPos.html +++ b/master/stdlib/Stdlib.Numbers.DecimalPos.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.DecimalPos

      -

      DecimalPos

      +

      DecimalPos

      diff --git a/master/stdlib/Stdlib.Numbers.DecimalQ.html b/master/stdlib/Stdlib.Numbers.DecimalQ.html index 9265d56a71..57dd0d7aeb 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalQ.html +++ b/master/stdlib/Stdlib.Numbers.DecimalQ.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.DecimalQ

      -

      DecimalQ

      +

      DecimalQ

      diff --git a/master/stdlib/Stdlib.Numbers.DecimalR.html b/master/stdlib/Stdlib.Numbers.DecimalR.html index 463c170630..cb91aaebf2 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalR.html +++ b/master/stdlib/Stdlib.Numbers.DecimalR.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.DecimalR

      -

      DecimalR

      +

      DecimalR

      diff --git a/master/stdlib/Stdlib.Numbers.DecimalString.html b/master/stdlib/Stdlib.Numbers.DecimalString.html index 09737be4fc..8b8a343250 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalString.html +++ b/master/stdlib/Stdlib.Numbers.DecimalString.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.DecimalString

      -

      Conversion between decimal numbers and Coq strings

      +

      Conversion between decimal numbers and Coq strings

      diff --git a/master/stdlib/Stdlib.Numbers.DecimalZ.html b/master/stdlib/Stdlib.Numbers.DecimalZ.html index 8627e98e1b..520a6c3011 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalZ.html +++ b/master/stdlib/Stdlib.Numbers.DecimalZ.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.DecimalZ

      -

      DecimalZ

      +

      DecimalZ

      diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html b/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html index 282555022b..de885036e6 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.HexadecimalFacts

      -

      HexadecimalFacts : some facts about Hexadecimal numbers

      +

      HexadecimalFacts : some facts about Hexadecimal numbers

      diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalN.html b/master/stdlib/Stdlib.Numbers.HexadecimalN.html index 8c0e22a598..4fe08075a9 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalN.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalN.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.HexadecimalN

      -

      HexadecimalN

      +

      HexadecimalN

      diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalNat.html b/master/stdlib/Stdlib.Numbers.HexadecimalNat.html index 6b11b8285f..4d78a09134 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalNat.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalNat.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.HexadecimalNat

      -

      HexadecimalNat

      +

      HexadecimalNat

      diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalPos.html b/master/stdlib/Stdlib.Numbers.HexadecimalPos.html index b9e68eb550..0a7fdffac7 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalPos.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalPos.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.HexadecimalPos

      -

      HexadecimalPos

      +

      HexadecimalPos

      diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalQ.html b/master/stdlib/Stdlib.Numbers.HexadecimalQ.html index b2d0145f52..5ae7290d8b 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalQ.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalQ.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.HexadecimalQ

      -

      HexadecimalQ

      +

      HexadecimalQ

      diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalR.html b/master/stdlib/Stdlib.Numbers.HexadecimalR.html index 576dceb416..bfb77f5e39 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalR.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalR.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.HexadecimalR

      -

      HexadecimalR

      +

      HexadecimalR

      diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalString.html b/master/stdlib/Stdlib.Numbers.HexadecimalString.html index f6b055210a..3cf7e19266 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalString.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalString.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.HexadecimalString

      -

      Conversion between hexadecimal numbers and Coq strings

      +

      Conversion between hexadecimal numbers and Coq strings

      diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalZ.html b/master/stdlib/Stdlib.Numbers.HexadecimalZ.html index 20405d0126..4a3a781c6e 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalZ.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalZ.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.HexadecimalZ

      -

      HexadecimalZ

      +

      HexadecimalZ

      diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html index 6b00ac576a..6078209f1b 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html @@ -473,7 +473,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZBits

      -

      Properties of shifts

      +

      Properties of shifts

      diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html index 8b54469a61..1018bac41c 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html @@ -55,7 +55,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivEucl

      -

      Euclidean Division for integers, Euclid convention

      +

      Euclidean Division for integers, Euclid convention

      @@ -246,7 +246,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivEucl

      -

      Basic values of divisions and modulo.

      +

      Basic values of divisions and modulo.

      @@ -282,7 +282,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivEucl

      -

      Order results about mod and div

      +

      Order results about mod and div

      @@ -411,7 +411,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivEucl

      -

      Relations between usual operations and mod and div

      +

      Relations between usual operations and mod and div

      diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html index 814892d6ab..c946bd0287 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivFloor

      -

      Euclidean Division for integers (Floor convention)

      +

      Euclidean Division for integers (Floor convention)

      @@ -284,7 +284,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivFloor

      -

      Basic values of divisions and modulo.

      +

      Basic values of divisions and modulo.

      @@ -320,7 +320,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivFloor

      -

      Order results about mod and div

      +

      Order results about mod and div

      @@ -457,7 +457,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivFloor

      -

      Relations between usual operations and mod and div

      +

      Relations between usual operations and mod and div

      diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html index 8ba22306cc..fe9533bea1 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc

      -

      Euclidean Division for integers (Trunc convention)

      +

      Euclidean Division for integers (Trunc convention)

      @@ -209,7 +209,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc

      -

      Basic values of divisions and modulo.

      +

      Basic values of divisions and modulo.

      @@ -307,7 +307,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc

      -

      Order results about rem and quot

      +

      Order results about rem and quot

      @@ -442,7 +442,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc

      -

      Relations between usual operations and rem and quot

      +

      Relations between usual operations and rem and quot

      diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html index 82204b0465..9a6cea1c89 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZLcm

      -

      Least Common Multiple

      +

      Least Common Multiple

      diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html index 085d6411e3..46ad4e691c 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.Integer.Abstract.ZMaxMin

      -

      Properties of minimum and maximum specific to integer numbers

      +

      Properties of minimum and maximum specific to integer numbers

      diff --git a/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html b/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html index 7b6e2d5b2f..a12ee75c55 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html @@ -71,7 +71,7 @@

      Library Stdlib.Numbers.Integer.Binary.ZBinary

      -

      An order tactic for integers

      +

      An order tactic for integers

      diff --git a/master/stdlib/Stdlib.Numbers.NaryFunctions.html b/master/stdlib/Stdlib.Numbers.NaryFunctions.html index d484ef430a..3e05cb270b 100644 --- a/master/stdlib/Stdlib.Numbers.NaryFunctions.html +++ b/master/stdlib/Stdlib.Numbers.NaryFunctions.html @@ -57,7 +57,7 @@

      Library Stdlib.Numbers.NaryFunctions

      -

      Generic dependently-typed operators about n-ary functions

      +

      Generic dependently-typed operators about n-ary functions

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html index 91155d2b01..6910b457d0 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.NatInt.NZAdd

      -

      Some properties of the addition for modules implementing NZBasicFunsSig'

      +

      Some properties of the addition for modules implementing NZBasicFunsSig'

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html index 4bcf0e8171..aab95e4c0d 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.NatInt.NZAddOrder

      -

      Properties of orders and addition for modules implementing NZOrdAxiomsSig'

      +

      Properties of orders and addition for modules implementing NZOrdAxiomsSig'

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html index 341796ad50..2071dc5e04 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.NatInt.NZAxioms

      Initial Author : Evgeny Makarov, INRIA, 2007
      -

      Axioms for a domain with zero, succ, pred.

      +

      Axioms for a domain with zero, succ, pred.

      @@ -145,7 +145,7 @@

      Library Stdlib.Numbers.NatInt.NZAxioms

      -

      Axiomatization of a domain with zero, succ, pred and a bi-directional induction principle.

      +

      Axiomatization of a domain with zero, succ, pred and a bi-directional induction principle.

      @@ -227,7 +227,7 @@

      Library Stdlib.Numbers.NatInt.NZAxioms

      -

      Axiomatization of some more constants

      +

      Axiomatization of some more constants

      @@ -284,7 +284,7 @@

      Library Stdlib.Numbers.NatInt.NZAxioms

      -

      Axiomatization of basic operations : + - *

      +

      Axiomatization of basic operations : + - *

      @@ -340,7 +340,7 @@

      Library Stdlib.Numbers.NatInt.NZAxioms

      -

      Axiomatization of order

      +

      Axiomatization of order

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html b/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html index f90069c1b9..bb1b588790 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.NatInt.NZBase

      -

      Basic lemmas about modules implementing NZDomainSig'

      +

      Basic lemmas about modules implementing NZDomainSig'

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html b/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html index dfec64027d..8beddeb790 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html @@ -190,7 +190,7 @@

      Library Stdlib.Numbers.NatInt.NZDiv

      -

      Basic values of divisions and modulo.

      +

      Basic values of divisions and modulo.

      @@ -223,7 +223,7 @@

      Library Stdlib.Numbers.NatInt.NZDiv

      -

      Order results about mod and div

      +

      Order results about mod and div

      @@ -335,7 +335,7 @@

      Library Stdlib.Numbers.NatInt.NZDiv

      -

      Relations between usual operations and mod and div

      +

      Relations between usual operations and mod and div

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html b/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html index 307d761474..266a5fde7a 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html @@ -78,7 +78,7 @@

      Library Stdlib.Numbers.NatInt.NZDomain

      -

      Relationship between points thanks to succ and pred.

      +

      Relationship between points thanks to succ and pred.

      @@ -129,7 +129,7 @@

      Library Stdlib.Numbers.NatInt.NZDomain

      -

      Study of initial point w.r.t. succ (if any).

      +

      Study of initial point w.r.t. succ (if any).

      @@ -253,7 +253,7 @@

      Library Stdlib.Numbers.NatInt.NZDomain

      -

      An alternative induction principle using S and P.

      +

      An alternative induction principle using S and P.

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html b/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html index 2d180f6f9c..37a0e638f5 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html @@ -418,7 +418,7 @@

      Library Stdlib.Numbers.NatInt.NZLog

      -

      log2_up : a binary logarithm that rounds up instead of down

      +

      log2_up : a binary logarithm that rounds up instead of down

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html b/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html index 9ceaa4f79e..7d05539c3f 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.NatInt.NZMul

      -

      Some properties of the multiplication for modules implementing NZBasicFunsSig'

      +

      Some properties of the multiplication for modules implementing NZBasicFunsSig'

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html index 0e2851f37e..e5ac929473 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.NatInt.NZMulOrder

      -

      Properties of orders and multiplication for modules implementing NZOrdAxiomsSig'

      +

      Properties of orders and multiplication for modules implementing NZOrdAxiomsSig'

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html index 3abfe32f19..9b91b16972 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html @@ -49,7 +49,7 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      Lemmas about orders for modules implementing NZOrdSig'

      +

      Lemmas about orders for modules implementing NZOrdSig'

      @@ -105,11 +105,11 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      Basic facts about le, lt, eq and succ

      +

      Basic facts about le, lt, eq and succ

      -

      Direct consequences of the specifications of lt and le

      +

      Direct consequences of the specifications of lt and le

      @@ -167,7 +167,7 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      Asymmetry and transitivity.

      +

      Asymmetry and transitivity.

      @@ -188,7 +188,7 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      Some type classes about order

      +

      Some type classes about order

      @@ -209,7 +209,7 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      Making the generic order tactic

      +

      Making the generic order tactic

      @@ -236,7 +236,7 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      Some direct consequences of order

      +

      Some direct consequences of order

      @@ -281,7 +281,7 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      More properties of < and <= with respect to S and 0

      +

      More properties of < and <= with respect to S and 0

      @@ -337,7 +337,7 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      More Trichotomy, decidability and double negation elimination

      +

      More Trichotomy, decidability and double negation elimination

      @@ -448,7 +448,7 @@

      Library Stdlib.Numbers.NatInt.NZOrder

      -

      Order-based induction principles

      +

      Order-based induction principles

      diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html b/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html index 074d18b8b5..24f1ecb096 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html @@ -348,7 +348,7 @@

      Library Stdlib.Numbers.NatInt.NZSqrt

      -

      sqrt_up : a square root that rounds up instead of down

      +

      sqrt_up : a square root that rounds up instead of down

      diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html index fa37600d25..051fecdc51 100644 --- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html +++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html @@ -158,7 +158,7 @@

      Library Stdlib.Numbers.Natural.Abstract.NDiv

      -

      Basic values of divisions and modulo.

      +

      Basic values of divisions and modulo.

      @@ -191,7 +191,7 @@

      Library Stdlib.Numbers.Natural.Abstract.NDiv

      -

      Order results about mod and div

      +

      Order results about mod and div

      @@ -289,7 +289,7 @@

      Library Stdlib.Numbers.Natural.Abstract.NDiv

      -

      Relations between usual operations and mod and div

      +

      Relations between usual operations and mod and div

      diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html index 8e3dd171d5..9f9ec15a51 100644 --- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html +++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.Natural.Abstract.NLcm

      -

      Least Common Multiple

      +

      Least Common Multiple

      diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html index dae4481cc2..ba18664e81 100644 --- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html +++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html @@ -52,7 +52,7 @@

      Library Stdlib.Numbers.Natural.Abstract.NMaxMin

      -

      Properties of minimum and maximum specific to natural numbers

      +

      Properties of minimum and maximum specific to natural numbers

      diff --git a/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html b/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html index ff88884113..14ccab9e43 100644 --- a/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html +++ b/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html @@ -59,7 +59,7 @@

      Library Stdlib.Numbers.Natural.Binary.NBinary

      -

      BinNat.N already implements NAxiomSig

      +

      BinNat.N already implements NAxiomSig

      diff --git a/master/stdlib/Stdlib.PArith.BinPos.html b/master/stdlib/Stdlib.PArith.BinPos.html index 71a14980e3..0667072005 100644 --- a/master/stdlib/Stdlib.PArith.BinPos.html +++ b/master/stdlib/Stdlib.PArith.BinPos.html @@ -57,7 +57,7 @@

      Library Stdlib.PArith.BinPos

      -

      Binary positive numbers, operations and properties

      +

      Binary positive numbers, operations and properties

      @@ -91,7 +91,7 @@

      Library Stdlib.PArith.BinPos

      -

      Definitions of operations, now in a separate file

      +

      Definitions of operations, now in a separate file

      @@ -113,7 +113,7 @@

      Library Stdlib.PArith.BinPos

      -

      Logical Predicates

      +

      Logical Predicates

      @@ -145,11 +145,11 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of operations over positive numbers

      +

      Properties of operations over positive numbers

      -

      Decidability of equality on binary positive numbers

      +

      Decidability of equality on binary positive numbers

      @@ -161,11 +161,11 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of successor on binary positive numbers

      +

      Properties of successor on binary positive numbers

      -

      Specification of xI in term of succ and xO

      +

      Specification of xI in term of succ and xO

      @@ -180,7 +180,7 @@

      Library Stdlib.PArith.BinPos

      -

      Successor and double

      +

      Successor and double

      @@ -204,7 +204,7 @@

      Library Stdlib.PArith.BinPos

      -

      Successor and predecessor

      +

      Successor and predecessor

      @@ -225,7 +225,7 @@

      Library Stdlib.PArith.BinPos

      -

      Injectivity of successor

      +

      Injectivity of successor

      @@ -237,7 +237,7 @@

      Library Stdlib.PArith.BinPos

      -

      Predecessor to N

      +

      Predecessor to N

      @@ -249,11 +249,11 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of addition on binary positive numbers

      +

      Properties of addition on binary positive numbers

      -

      Specification of succ in term of add

      +

      Specification of succ in term of add

      @@ -268,7 +268,7 @@

      Library Stdlib.PArith.BinPos

      -

      Specification of add_carry

      +

      Specification of add_carry

      @@ -280,7 +280,7 @@

      Library Stdlib.PArith.BinPos

      -

      Commutativity

      +

      Commutativity

      @@ -292,7 +292,7 @@

      Library Stdlib.PArith.BinPos

      -

      Permutation of add and succ

      +

      Permutation of add and succ

      @@ -307,7 +307,7 @@

      Library Stdlib.PArith.BinPos

      -

      No neutral elements for addition

      +

      No neutral elements for addition

      @@ -317,7 +317,7 @@

      Library Stdlib.PArith.BinPos

      -

      Simplification

      +

      Simplification

      @@ -350,7 +350,7 @@

      Library Stdlib.PArith.BinPos

      -

      Addition is associative

      +

      Addition is associative

      @@ -362,7 +362,7 @@

      Library Stdlib.PArith.BinPos

      -

      Commutation of addition and double

      +

      Commutation of addition and double

      @@ -382,7 +382,7 @@

      Library Stdlib.PArith.BinPos

      -

      Miscellaneous

      +

      Miscellaneous

      @@ -394,7 +394,7 @@

      Library Stdlib.PArith.BinPos

      -

      Peano induction and recursion on binary positive positive numbers

      +

      Peano induction and recursion on binary positive positive numbers

      @@ -512,11 +512,11 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of multiplication on binary positive numbers

      +

      Properties of multiplication on binary positive numbers

      -

      One is neutral for multiplication

      +

      One is neutral for multiplication

      @@ -531,7 +531,7 @@

      Library Stdlib.PArith.BinPos

      -

      Right reduction properties for multiplication

      +

      Right reduction properties for multiplication

      @@ -546,7 +546,7 @@

      Library Stdlib.PArith.BinPos

      -

      Commutativity of multiplication

      +

      Commutativity of multiplication

      @@ -558,7 +558,7 @@

      Library Stdlib.PArith.BinPos

      -

      Distributivity of multiplication over addition

      +

      Distributivity of multiplication over addition

      @@ -575,7 +575,7 @@

      Library Stdlib.PArith.BinPos

      -

      Associativity of multiplication

      +

      Associativity of multiplication

      @@ -587,7 +587,7 @@

      Library Stdlib.PArith.BinPos

      -

      Successor and multiplication

      +

      Successor and multiplication

      @@ -602,7 +602,7 @@

      Library Stdlib.PArith.BinPos

      -

      Parity properties of multiplication

      +

      Parity properties of multiplication

      @@ -617,7 +617,7 @@

      Library Stdlib.PArith.BinPos

      -

      Simplification properties of multiplication

      +

      Simplification properties of multiplication

      @@ -638,7 +638,7 @@

      Library Stdlib.PArith.BinPos

      -

      Inversion of multiplication

      +

      Inversion of multiplication

      @@ -656,7 +656,7 @@

      Library Stdlib.PArith.BinPos

      -

      Square

      +

      Square

      @@ -671,7 +671,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of iter

      +

      Properties of iter

      @@ -717,7 +717,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of power

      +

      Properties of power

      @@ -732,7 +732,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of square

      +

      Properties of square

      @@ -744,7 +744,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of sub_mask

      +

      Properties of sub_mask

      @@ -791,7 +791,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of boolean comparisons

      +

      Properties of boolean comparisons

      @@ -820,7 +820,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of comparison on binary positive numbers

      +

      Properties of comparison on binary positive numbers

      @@ -1014,7 +1014,7 @@

      Library Stdlib.PArith.BinPos

      -

      Facts about gt and ge

      +

      Facts about gt and ge

      @@ -1047,7 +1047,7 @@

      Library Stdlib.PArith.BinPos

      -

      Comparison and the successor

      +

      Comparison and the successor

      @@ -1073,7 +1073,7 @@

      Library Stdlib.PArith.BinPos

      -

      1 is the least positive number

      +

      1 is the least positive number

      @@ -1091,7 +1091,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of the order

      +

      Properties of the order

      @@ -1164,7 +1164,7 @@

      Library Stdlib.PArith.BinPos

      -

      Comparison and addition

      +

      Comparison and addition

      @@ -1179,7 +1179,7 @@

      Library Stdlib.PArith.BinPos

      -

      Order and addition

      +

      Order and addition

      @@ -1209,7 +1209,7 @@

      Library Stdlib.PArith.BinPos

      -

      Comparison and multiplication

      +

      Comparison and multiplication

      @@ -1224,7 +1224,7 @@

      Library Stdlib.PArith.BinPos

      -

      Order and multiplication

      +

      Order and multiplication

      @@ -1260,7 +1260,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of subtraction on binary positive numbers

      +

      Properties of subtraction on binary positive numbers

      @@ -1278,7 +1278,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of subtraction without underflow

      +

      Properties of subtraction without underflow

      @@ -1376,7 +1376,7 @@

      Library Stdlib.PArith.BinPos

      -

      Results concerning size and size_nat

      +

      Results concerning size and size_nat

      @@ -1394,7 +1394,7 @@

      Library Stdlib.PArith.BinPos

      -

      Properties of min and max

      +

      Properties of min and max

      @@ -1490,7 +1490,7 @@

      Library Stdlib.PArith.BinPos

      -

      Results concerning iter_op

      +

      Results concerning iter_op

      @@ -1511,7 +1511,7 @@

      Library Stdlib.PArith.BinPos

      -

      Results about of_nat and of_succ_nat

      +

      Results about of_nat and of_succ_nat

      @@ -1529,7 +1529,7 @@

      Library Stdlib.PArith.BinPos

      -

      Correctness proofs for the square root function

      +

      Correctness proofs for the square root function

      @@ -1555,7 +1555,7 @@

      Library Stdlib.PArith.BinPos

      -

      Correctness proofs for the gcd function

      +

      Correctness proofs for the gcd function

      diff --git a/master/stdlib/Stdlib.PArith.BinPosDef.html b/master/stdlib/Stdlib.PArith.BinPosDef.html index 0313f5b18c..29b25cf694 100644 --- a/master/stdlib/Stdlib.PArith.BinPosDef.html +++ b/master/stdlib/Stdlib.PArith.BinPosDef.html @@ -49,7 +49,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Binary positive numbers, operations

      +

      Binary positive numbers, operations

      @@ -98,11 +98,11 @@

      Library Stdlib.PArith.BinPosDef

      -

      Operations over positive numbers

      +

      Operations over positive numbers

      -

      Successor

      +

      Successor

      @@ -119,7 +119,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Addition

      +

      Addition

      @@ -158,7 +158,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Operation x -> 2*x-1

      +

      Operation x -> 2*x-1

      @@ -175,7 +175,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Predecessor

      +

      Predecessor

      @@ -192,7 +192,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      The predecessor of a positive number can be seen as a N

      +

      The predecessor of a positive number can be seen as a N

      @@ -209,7 +209,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      An auxiliary type for subtraction

      +

      An auxiliary type for subtraction

      @@ -224,7 +224,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Operation x -> 2*x+1

      +

      Operation x -> 2*x+1

      @@ -241,7 +241,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Operation x -> 2*x

      +

      Operation x -> 2*x

      @@ -258,7 +258,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Operation x -> 2*x-2

      +

      Operation x -> 2*x-2

      @@ -275,7 +275,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Predecessor with mask

      +

      Predecessor with mask

      @@ -293,7 +293,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Subtraction, result as a mask

      +

      Subtraction, result as a mask

      @@ -326,7 +326,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Subtraction, result as a positive, returning 1 if x<=y

      +

      Subtraction, result as a positive, returning 1 if x<=y

      @@ -345,7 +345,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Multiplication

      +

      Multiplication

      @@ -365,7 +365,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Iteration over a positive number

      +

      Iteration over a positive number

      @@ -382,7 +382,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Power

      +

      Power

      @@ -397,7 +397,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Square

      +

      Square

      @@ -414,7 +414,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Division by 2 rounded below but for 1

      +

      Division by 2 rounded below but for 1

      @@ -447,7 +447,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Number of digits in a positive number

      +

      Number of digits in a positive number

      @@ -480,7 +480,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Comparison on binary positive numbers

      +

      Comparison on binary positive numbers

      @@ -523,7 +523,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Boolean equality and comparisons

      +

      Boolean equality and comparisons

      @@ -554,7 +554,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      A Square Root function for positive numbers

      +

      A Square Root function for positive numbers

      @@ -600,7 +600,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Greatest Common Divisor

      +

      Greatest Common Divisor

      @@ -875,7 +875,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      From binary positive numbers to Peano natural numbers

      +

      From binary positive numbers to Peano natural numbers

      @@ -895,7 +895,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      From Peano natural numbers to binary positive numbers

      +

      From Peano natural numbers to binary positive numbers

      @@ -924,7 +924,7 @@

      Library Stdlib.PArith.BinPosDef

      -

      Conversion with a decimal representation for printing/parsing

      +

      Conversion with a decimal representation for printing/parsing

      diff --git a/master/stdlib/Stdlib.PArith.POrderedType.html b/master/stdlib/Stdlib.PArith.POrderedType.html index 5338870a8c..5874ca5486 100644 --- a/master/stdlib/Stdlib.PArith.POrderedType.html +++ b/master/stdlib/Stdlib.PArith.POrderedType.html @@ -55,7 +55,7 @@

      Library Stdlib.PArith.POrderedType

      -

      DecidableType structure for positive numbers

      +

      DecidableType structure for positive numbers

      @@ -71,7 +71,7 @@

      Library Stdlib.PArith.POrderedType

      interfaces, such as DecidableType or EqualityType.
      -

      OrderedType structure for positive numbers

      +

      OrderedType structure for positive numbers

      @@ -87,7 +87,7 @@

      Library Stdlib.PArith.POrderedType

      and a OrderedType (and also as a DecidableType).
      -

      An order tactic for positive numbers

      +

      An order tactic for positive numbers

      diff --git a/master/stdlib/Stdlib.Program.Combinators.html b/master/stdlib/Stdlib.Program.Combinators.html index a695635214..42b4c52b36 100644 --- a/master/stdlib/Stdlib.Program.Combinators.html +++ b/master/stdlib/Stdlib.Program.Combinators.html @@ -47,7 +47,7 @@

      Library Stdlib.Program.Combinators

      -

      Proofs about standard combinators, exports functional extensionality.

      +

      Proofs about standard combinators, exports functional extensionality.

      diff --git a/master/stdlib/Stdlib.QArith.QArith_base.html b/master/stdlib/Stdlib.QArith.QArith_base.html index a0e6ef3167..85956aa496 100644 --- a/master/stdlib/Stdlib.QArith.QArith_base.html +++ b/master/stdlib/Stdlib.QArith.QArith_base.html @@ -55,7 +55,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Definition of Q and basic properties

      +

      Definition of Q and basic properties

      @@ -198,7 +198,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Properties of equality.

      +

      Properties of equality.

      @@ -290,7 +290,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Addition, multiplication and opposite

      +

      Addition, multiplication and opposite

      @@ -557,7 +557,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Setoid compatibility results

      +

      Setoid compatibility results

      @@ -631,7 +631,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Properties of Qadd

      +

      Properties of Qadd

      @@ -671,7 +671,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Properties of Qopp

      +

      Properties of Qopp

      @@ -702,7 +702,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Properties of Qmult

      +

      Properties of Qmult

      @@ -784,7 +784,7 @@

      Library Stdlib.QArith.QArith_base

      -

      inject_Z is a ring homomorphism:

      +

      inject_Z is a ring homomorphism:

      @@ -802,7 +802,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Inverse and division.

      +

      Inverse and division.

      @@ -854,11 +854,11 @@

      Library Stdlib.QArith.QArith_base

      -

      Reduction and construction of Q

      +

      Reduction and construction of Q

      -

      Removal/introduction of common factor in both numerator and denominator.

      +

      Removal/introduction of common factor in both numerator and denominator.

      @@ -903,7 +903,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Construction of a new rational by multiplication with an integer or pure fraction

      +

      Construction of a new rational by multiplication with an integer or pure fraction

      @@ -929,7 +929,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Properties of order upon Q.

      +

      Properties of order upon Q.

      @@ -1043,7 +1043,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Some decidability results about orders.

      +

      Some decidability results about orders.

      @@ -1061,7 +1061,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Compatibility of addition with order

      +

      Compatibility of addition with order

      @@ -1114,7 +1114,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Compatibility of multiplication with order.

      +

      Compatibility of multiplication with order.

      @@ -1173,7 +1173,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Compatibility of inversion and division with order

      +

      Compatibility of inversion and division with order

      @@ -1224,7 +1224,7 @@

      Library Stdlib.QArith.QArith_base

      -

      Rational to the n-th power

      +

      Rational to the n-th power

      diff --git a/master/stdlib/Stdlib.QArith.QOrderedType.html b/master/stdlib/Stdlib.QArith.QOrderedType.html index d36465f9ed..c12a2e1adf 100644 --- a/master/stdlib/Stdlib.QArith.QOrderedType.html +++ b/master/stdlib/Stdlib.QArith.QOrderedType.html @@ -55,7 +55,7 @@

      Library Stdlib.QArith.QOrderedType

      -

      DecidableType structure for rational numbers

      +

      DecidableType structure for rational numbers

      @@ -93,7 +93,7 @@

      Library Stdlib.QArith.QOrderedType

      interfaces, such as DecidableType or EqualityType.
      -

      OrderedType structure for rational numbers

      +

      OrderedType structure for rational numbers

      @@ -124,7 +124,7 @@

      Library Stdlib.QArith.QOrderedType

      -

      An order tactic for Q numbers

      +

      An order tactic for Q numbers

      diff --git a/master/stdlib/Stdlib.QArith.Qcabs.html b/master/stdlib/Stdlib.QArith.Qcabs.html index df3ccd8289..d37b33e5e1 100644 --- a/master/stdlib/Stdlib.QArith.Qcabs.html +++ b/master/stdlib/Stdlib.QArith.Qcabs.html @@ -49,7 +49,7 @@

      Library Stdlib.QArith.Qcabs

      -

      An absolute value for normalized rational numbers.

      +

      An absolute value for normalized rational numbers.

      diff --git a/master/stdlib/Stdlib.QArith.Qfield.html b/master/stdlib/Stdlib.QArith.Qfield.html index 32ce7122bb..7015f115dd 100644 --- a/master/stdlib/Stdlib.QArith.Qfield.html +++ b/master/stdlib/Stdlib.QArith.Qfield.html @@ -54,7 +54,7 @@

      Library Stdlib.QArith.Qfield

      -

      field and ring tactics for rational numbers

      +

      field and ring tactics for rational numbers

      diff --git a/master/stdlib/Stdlib.QArith.Qminmax.html b/master/stdlib/Stdlib.QArith.Qminmax.html index 0367fbc8e7..4ed0d14b1c 100644 --- a/master/stdlib/Stdlib.QArith.Qminmax.html +++ b/master/stdlib/Stdlib.QArith.Qminmax.html @@ -52,7 +52,7 @@

      Library Stdlib.QArith.Qminmax

      -

      Maximum and Minimum of two rational numbers

      +

      Maximum and Minimum of two rational numbers

      @@ -101,7 +101,7 @@

      Library Stdlib.QArith.Qminmax

      -

      Properties specific to the Q domain

      +

      Properties specific to the Q domain

      diff --git a/master/stdlib/Stdlib.QArith.Qpower.html b/master/stdlib/Stdlib.QArith.Qpower.html index 9580fb2b26..871eed9887 100644 --- a/master/stdlib/Stdlib.QArith.Qpower.html +++ b/master/stdlib/Stdlib.QArith.Qpower.html @@ -52,11 +52,11 @@

      Library Stdlib.QArith.Qpower

      -

      Properties of Qpower_positive

      +

      Properties of Qpower_positive

      -

      Values of Qpower_positive for specific arguments

      +

      Values of Qpower_positive for specific arguments

      @@ -71,7 +71,7 @@

      Library Stdlib.QArith.Qpower

      -

      Relation of Qpower_positive to zero

      +

      Relation of Qpower_positive to zero

      @@ -86,7 +86,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower_positive and multiplication, exponent subtraction

      +

      Qpower_positive and multiplication, exponent subtraction

      @@ -101,7 +101,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower_positive and inversion, division, exponent subtraction

      +

      Qpower_positive and inversion, division, exponent subtraction

      @@ -118,7 +118,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower and exponent multiplication

      +

      Qpower and exponent multiplication

      @@ -131,7 +131,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower_positive decomposition

      +

      Qpower_positive decomposition

      @@ -147,11 +147,11 @@

      Library Stdlib.QArith.Qpower

      -

      Properties of Qpower

      +

      Properties of Qpower

      -

      Values of Qpower for specific arguments

      +

      Values of Qpower for specific arguments

      @@ -174,7 +174,7 @@

      Library Stdlib.QArith.Qpower

      -

      Relation of Qpower to zero

      +

      Relation of Qpower to zero

      @@ -196,7 +196,7 @@

      Library Stdlib.QArith.Qpower

      -

      Relation of Qpower to 1

      +

      Relation of Qpower to 1

      @@ -221,7 +221,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower and multiplication, exponent addition

      +

      Qpower and multiplication, exponent addition

      @@ -239,7 +239,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower and inversion, division, exponent subtraction

      +

      Qpower and inversion, division, exponent subtraction

      @@ -272,7 +272,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower and exponent multiplication

      +

      Qpower and exponent multiplication

      @@ -284,7 +284,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower decomposition

      +

      Qpower decomposition

      @@ -305,7 +305,7 @@

      Library Stdlib.QArith.Qpower

      -

      Compatibility of Qpower with relational operators

      +

      Compatibility of Qpower with relational operators

      @@ -330,7 +330,7 @@

      Library Stdlib.QArith.Qpower

      -

      Qpower and inject_Z

      +

      Qpower and inject_Z

      @@ -342,7 +342,7 @@

      Library Stdlib.QArith.Qpower

      -

      Square

      +

      Square

      @@ -354,7 +354,7 @@

      Library Stdlib.QArith.Qpower

      -

      Power of 2 positive upper bound

      +

      Power of 2 positive upper bound

      diff --git a/master/stdlib/Stdlib.Reals.AltSeries.html b/master/stdlib/Stdlib.Reals.AltSeries.html index 0a720f3ae0..fbb048ab8a 100644 --- a/master/stdlib/Stdlib.Reals.AltSeries.html +++ b/master/stdlib/Stdlib.Reals.AltSeries.html @@ -58,7 +58,7 @@

      Library Stdlib.Reals.AltSeries

      -

      Formalization of alternated series

      +

      Formalization of alternated series

      @@ -121,7 +121,7 @@

      Library Stdlib.Reals.AltSeries

      -

      Convergence of alternated series

      +

      Convergence of alternated series

      @@ -143,7 +143,7 @@

      Library Stdlib.Reals.AltSeries

      -

      Application : construction of PI

      +

      Application : construction of PI

      diff --git a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html index 98d0af24e6..23b5300982 100644 --- a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html +++ b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html @@ -408,7 +408,7 @@

      Library Stdlib.Reals.Cauchy.ConstructiveCauchyReals

      -

      Algebraic operations

      +

      Algebraic operations

      diff --git a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html index 9adacf42a8..930172e60a 100644 --- a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html +++ b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html @@ -296,7 +296,7 @@

      Library Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult

      -

      Field

      +

      Field

      diff --git a/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html b/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html index b26af1b041..66aefb9e64 100644 --- a/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html +++ b/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html @@ -55,7 +55,7 @@

      Library Stdlib.Reals.Cauchy.QExtra

      -

      Power of 2 open and closed upper and lower bounds for q : Q

      +

      Power of 2 open and closed upper and lower bounds for q : Q

      @@ -96,7 +96,7 @@

      Library Stdlib.Reals.Cauchy.QExtra

      -

      Power of two closed upper bound q <= 2^z

      +

      Power of two closed upper bound q <= 2^z

      @@ -125,7 +125,7 @@

      Library Stdlib.Reals.Cauchy.QExtra

      -

      Power of two open upper bound q < 2^z and Qabs q < 2^z

      +

      Power of two open upper bound q < 2^z and Qabs q < 2^z

      @@ -171,7 +171,7 @@

      Library Stdlib.Reals.Cauchy.QExtra

      -

      Power of 2 open lower bounds for 2^z < q and 2^z < Qabs q

      +

      Power of 2 open lower bounds for 2^z < q and 2^z < Qabs q

      @@ -202,7 +202,7 @@

      Library Stdlib.Reals.Cauchy.QExtra

      -

      Existential formulations of power of 2 lower and upper bounds

      +

      Existential formulations of power of 2 lower and upper bounds

      diff --git a/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html b/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html index ce0c844c1c..938d51a66c 100644 --- a/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html +++ b/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html @@ -63,7 +63,7 @@

      Library Stdlib.Reals.ClassicalDedekindReals

      -

      Q Auxiliary Lemmas

      +

      Q Auxiliary Lemmas

      @@ -86,11 +86,11 @@

      Library Stdlib.Reals.ClassicalDedekindReals

      -

      Dedekind cuts

      +

      Dedekind cuts

      -

      Definition

      +

      Definition

      @@ -132,7 +132,7 @@

      Library Stdlib.Reals.ClassicalDedekindReals

      -

      Properties

      +

      Properties

      @@ -164,11 +164,11 @@

      Library Stdlib.Reals.ClassicalDedekindReals

      -

      Classical Dedekind reals

      +

      Classical Dedekind reals

      -

      Definition

      +

      Definition

      @@ -181,7 +181,7 @@

      Library Stdlib.Reals.ClassicalDedekindReals

      -

      Induction principle

      +

      Induction principle

      @@ -195,11 +195,11 @@

      Library Stdlib.Reals.ClassicalDedekindReals

      -

      Conversion to and from constructive Cauchy real CReal

      +

      Conversion to and from constructive Cauchy real CReal

      -

      Conversion from CReal to DReal

      +

      Conversion from CReal to DReal

      @@ -218,7 +218,7 @@

      Library Stdlib.Reals.ClassicalDedekindReals

      -

      Conversion from DReal to CReal

      +

      Conversion from DReal to CReal

      @@ -269,7 +269,7 @@

      Library Stdlib.Reals.ClassicalDedekindReals

      -

      Order for DReal

      +

      Order for DReal

      diff --git a/master/stdlib/Stdlib.Reals.RIneq.html b/master/stdlib/Stdlib.Reals.RIneq.html index a02f54c848..c8069d71eb 100644 --- a/master/stdlib/Stdlib.Reals.RIneq.html +++ b/master/stdlib/Stdlib.Reals.RIneq.html @@ -49,7 +49,7 @@

      Library Stdlib.Reals.RIneq

      -

      Basic lemmas for the classical real numbers

      +

      Basic lemmas for the classical real numbers

      @@ -137,7 +137,7 @@

      Library Stdlib.Reals.RIneq

      -

      Relation between orders and equality

      +

      Relation between orders and equality

      @@ -227,7 +227,7 @@

      Library Stdlib.Reals.RIneq

      -

      Strong decidable equality

      +

      Strong decidable equality

      @@ -239,11 +239,11 @@

      Library Stdlib.Reals.RIneq

      -

      Relating <, >, <= and >=

      +

      Relating <, >, <= and >=

      -

      Relating strict and large orders

      +

      Relating strict and large orders

      @@ -348,7 +348,7 @@

      Library Stdlib.Reals.RIneq

      -

      Asymmetry

      +

      Asymmetry

      @@ -369,7 +369,7 @@

      Library Stdlib.Reals.RIneq

      -

      Antisymmetry

      +

      Antisymmetry

      @@ -398,7 +398,7 @@

      Library Stdlib.Reals.RIneq

      -

      Compatibility with equality

      +

      Compatibility with equality

      @@ -415,7 +415,7 @@

      Library Stdlib.Reals.RIneq

      -

      Transitivity

      +

      Transitivity

      @@ -458,7 +458,7 @@

      Library Stdlib.Reals.RIneq

      -

      (Classical) decidability with sumbool types

      +

      (Classical) decidability with sumbool types

      @@ -509,7 +509,7 @@

      Library Stdlib.Reals.RIneq

      -

      Same theorems with disjunctions instead of sumbools

      +

      Same theorems with disjunctions instead of sumbools

      @@ -563,7 +563,7 @@

      Library Stdlib.Reals.RIneq

      -

      Addition

      +

      Addition

      @@ -637,7 +637,7 @@

      Library Stdlib.Reals.RIneq

      -

      Opposite

      +

      Opposite

      @@ -679,7 +679,7 @@

      Library Stdlib.Reals.RIneq

      -

      Multiplication

      +

      Multiplication

      @@ -795,7 +795,7 @@

      Library Stdlib.Reals.RIneq

      -

      Opposite and multiplication

      +

      Opposite and multiplication

      @@ -823,7 +823,7 @@

      Library Stdlib.Reals.RIneq

      -

      Subtraction

      +

      Subtraction

      @@ -935,7 +935,7 @@

      Library Stdlib.Reals.RIneq

      -

      Inverse

      +

      Inverse

      @@ -989,7 +989,7 @@

      Library Stdlib.Reals.RIneq

      -

      Square function

      +

      Square function

      @@ -1011,11 +1011,11 @@

      Library Stdlib.Reals.RIneq

      -

      Order and addition

      +

      Order and addition

      -

      Compatibility

      +

      Compatibility

      @@ -1116,7 +1116,7 @@

      Library Stdlib.Reals.RIneq

      -

      Cancellation

      +

      Cancellation

      @@ -1168,7 +1168,7 @@

      Library Stdlib.Reals.RIneq

      -

      Comparison of addition with left operand

      +

      Comparison of addition with left operand

      @@ -1189,7 +1189,7 @@

      Library Stdlib.Reals.RIneq

      -

      Sign of addition

      +

      Sign of addition

      @@ -1222,11 +1222,11 @@

      Library Stdlib.Reals.RIneq

      -

      Order and opposite

      +

      Order and opposite

      -

      Contravariant compatibility

      +

      Contravariant compatibility

      @@ -1302,7 +1302,7 @@

      Library Stdlib.Reals.RIneq

      -

      Cancellation

      +

      Cancellation

      @@ -1327,7 +1327,7 @@

      Library Stdlib.Reals.RIneq

      -

      Sign of opposite

      +

      Sign of opposite

      @@ -1342,14 +1342,14 @@

      Library Stdlib.Reals.RIneq

      -

      Order and multiplication

      +

      Order and multiplication

      Remark: Rmult_lt_compat_l is in Raxioms.v
      -

      Covariant compatibility

      +

      Covariant compatibility

      @@ -1420,7 +1420,7 @@

      Library Stdlib.Reals.RIneq

      -

      Contravariant compatibility

      +

      Contravariant compatibility

      @@ -1445,7 +1445,7 @@

      Library Stdlib.Reals.RIneq

      -

      Sign of multiplication

      +

      Sign of multiplication

      @@ -1480,7 +1480,7 @@

      Library Stdlib.Reals.RIneq

      -

      Order and square function

      +

      Order and square function

      @@ -1501,7 +1501,7 @@

      Library Stdlib.Reals.RIneq

      -

      Zero is less than one

      +

      Zero is less than one

      @@ -1518,7 +1518,7 @@

      Library Stdlib.Reals.RIneq

      -

      Sign of inverse

      +

      Sign of inverse

      @@ -1537,7 +1537,7 @@

      Library Stdlib.Reals.RIneq

      -

      Cancellation in inequalities of products

      +

      Cancellation in inequalities of products

      @@ -1564,7 +1564,7 @@

      Library Stdlib.Reals.RIneq

      -

      Order and inverse

      +

      Order and inverse

      @@ -1595,7 +1595,7 @@

      Library Stdlib.Reals.RIneq

      -

      Sign of inverse

      +

      Sign of inverse

      @@ -1610,7 +1610,7 @@

      Library Stdlib.Reals.RIneq

      -

      Order and subtraction

      +

      Order and subtraction

      @@ -1654,7 +1654,7 @@

      Library Stdlib.Reals.RIneq

      -

      Division

      +

      Division

      @@ -1754,7 +1754,7 @@

      Library Stdlib.Reals.RIneq

      -

      Sign of division

      +

      Sign of division

      @@ -1779,7 +1779,7 @@

      Library Stdlib.Reals.RIneq

      -

      Miscellaneous

      +

      Miscellaneous

      @@ -1833,7 +1833,7 @@

      Library Stdlib.Reals.RIneq

      -

      Injection from nat to R

      +

      Injection from nat to R

      @@ -1932,7 +1932,7 @@

      Library Stdlib.Reals.RIneq

      -

      Injection from positive to R

      +

      Injection from positive to R

      @@ -2013,7 +2013,7 @@

      Library Stdlib.Reals.RIneq

      -

      Injection from Z to R

      +

      Injection from Z to R

      @@ -2150,7 +2150,7 @@

      Library Stdlib.Reals.RIneq

      -

      Definitions of new types

      +

      Definitions of new types

      @@ -2177,7 +2177,7 @@

      Library Stdlib.Reals.RIneq

      -

      A few common instances

      +

      A few common instances

      @@ -2193,7 +2193,7 @@

      Library Stdlib.Reals.RIneq

      -

      Compatibility

      +

      Compatibility

      diff --git a/master/stdlib/Stdlib.Reals.ROrderedType.html b/master/stdlib/Stdlib.Reals.ROrderedType.html index fae8722458..6565c93fe0 100644 --- a/master/stdlib/Stdlib.Reals.ROrderedType.html +++ b/master/stdlib/Stdlib.Reals.ROrderedType.html @@ -55,7 +55,7 @@

      Library Stdlib.Reals.ROrderedType

      -

      DecidableType structure for real numbers

      +

      DecidableType structure for real numbers

      @@ -90,7 +90,7 @@

      Library Stdlib.Reals.ROrderedType

      and a DecidableTypeOrig.
      -

      OrderedType structure for binary integers

      +

      OrderedType structure for binary integers

      @@ -138,7 +138,7 @@

      Library Stdlib.Reals.ROrderedType

      and a OrderedType (and also as a DecidableType).
      -

      An order tactic for real numbers

      +

      An order tactic for real numbers

      diff --git a/master/stdlib/Stdlib.Reals.R_Ifp.html b/master/stdlib/Stdlib.Reals.R_Ifp.html index 248decf66f..8ac6190863 100644 --- a/master/stdlib/Stdlib.Reals.R_Ifp.html +++ b/master/stdlib/Stdlib.Reals.R_Ifp.html @@ -62,7 +62,7 @@

      Library Stdlib.Reals.R_Ifp

      -

      Fractional part

      +

      Fractional part

      @@ -97,7 +97,7 @@

      Library Stdlib.Reals.R_Ifp

      -

      Properties

      +

      Properties

      diff --git a/master/stdlib/Stdlib.Reals.R_sqrt.html b/master/stdlib/Stdlib.Reals.R_sqrt.html index 17ea2a5c07..bae828fb9c 100644 --- a/master/stdlib/Stdlib.Reals.R_sqrt.html +++ b/master/stdlib/Stdlib.Reals.R_sqrt.html @@ -55,7 +55,7 @@

      Library Stdlib.Reals.R_sqrt

      -

      Continuous extension of Rsqrt on R

      +

      Continuous extension of Rsqrt on R

      @@ -196,7 +196,7 @@

      Library Stdlib.Reals.R_sqrt

      -

      Resolution of a*X^2+b*X+c=0

      +

      Resolution of a*X^2+b*X+c=0

      diff --git a/master/stdlib/Stdlib.Reals.Ranalysis1.html b/master/stdlib/Stdlib.Reals.Ranalysis1.html index bae77dc39e..cee8374289 100644 --- a/master/stdlib/Stdlib.Reals.Ranalysis1.html +++ b/master/stdlib/Stdlib.Reals.Ranalysis1.html @@ -57,7 +57,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Basic operations on functions

      +

      Basic operations on functions

      @@ -106,7 +106,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Variations of functions

      +

      Variations of functions

      @@ -127,7 +127,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Definition of continuity as a limit

      +

      Definition of continuity as a limit

      @@ -231,7 +231,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Derivative's definition using Landau's kernel

      +

      Derivative's definition using Landau's kernel

      @@ -271,7 +271,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Class of differential functions

      +

      Class of differential functions

      @@ -327,7 +327,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Equivalence of this definition with the one using limit concept

      +

      Equivalence of this definition with the one using limit concept

      @@ -358,7 +358,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      derivability -> continuity

      +

      derivability -> continuity

      @@ -376,11 +376,11 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Main rules

      +

      Main rules

      -

      Rules for derivable_pt_lim (value of the derivative at a point)

      +

      Rules for derivable_pt_lim (value of the derivative at a point)

      @@ -458,7 +458,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Rules for derivable_pt (derivability at a point)

      +

      Rules for derivable_pt (derivability at a point)

      @@ -524,7 +524,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Rules for derivable (derivability on whole domain)

      +

      Rules for derivable (derivability on whole domain)

      @@ -568,7 +568,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Rules for derive_pt (derivative function on whole domain)

      +

      Rules for derive_pt (derivative function on whole domain)

      @@ -638,7 +638,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Definition and derivative of power function with natural number exponent

      +

      Definition and derivative of power function with natural number exponent

      @@ -672,7 +672,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Irrelevance of derivability proof for derivative

      +

      Irrelevance of derivability proof for derivative

      @@ -700,7 +700,7 @@

      Library Stdlib.Reals.Ranalysis1

      -

      Local extremum's condition

      +

      Local extremum's condition

      diff --git a/master/stdlib/Stdlib.Reals.Ranalysis5.html b/master/stdlib/Stdlib.Reals.Ranalysis5.html index 7b880659ab..2c35bbbb45 100644 --- a/master/stdlib/Stdlib.Reals.Ranalysis5.html +++ b/master/stdlib/Stdlib.Reals.Ranalysis5.html @@ -63,7 +63,7 @@

      Library Stdlib.Reals.Ranalysis5

      -

      Preliminaries lemmas

      +

      Preliminaries lemmas

      @@ -139,11 +139,11 @@

      Library Stdlib.Reals.Ranalysis5

      -

      The derivative of a reciprocal function

      +

      The derivative of a reciprocal function

      -

      Continuity of the reciprocal function

      +

      Continuity of the reciprocal function

      @@ -171,7 +171,7 @@

      Library Stdlib.Reals.Ranalysis5

      -

      Derivability of the reciprocal function

      +

      Derivability of the reciprocal function

      @@ -245,7 +245,7 @@

      Library Stdlib.Reals.Ranalysis5

      -

      Value of the derivative of the reciprocal function

      +

      Value of the derivative of the reciprocal function

      @@ -321,7 +321,7 @@

      Library Stdlib.Reals.Ranalysis5

      -

      Existence of the derivative of a function which is the limit of a sequence of functions

      +

      Existence of the derivative of a function which is the limit of a sequence of functions

      diff --git a/master/stdlib/Stdlib.Reals.Ratan.html b/master/stdlib/Stdlib.Reals.Ratan.html index 53ed4d3ce6..f569a2ced3 100644 --- a/master/stdlib/Stdlib.Reals.Ratan.html +++ b/master/stdlib/Stdlib.Reals.Ratan.html @@ -69,11 +69,11 @@

      Library Stdlib.Reals.Ratan

      -

      Preliminaries

      +

      Preliminaries

      -

      Various generic lemmas which probably should go somewhere else

      +

      Various generic lemmas which probably should go somewhere else

      @@ -121,11 +121,11 @@

      Library Stdlib.Reals.Ratan

      -

      Properties of tangent

      +

      Properties of tangent

      -

      Derivative of tangent

      +

      Derivative of tangent

      @@ -143,7 +143,7 @@

      Library Stdlib.Reals.Ratan

      -

      Proof that tangent is a bijection

      +

      Proof that tangent is a bijection

      @@ -193,11 +193,11 @@

      Library Stdlib.Reals.Ratan

      -

      Definition of arctangent

      +

      Definition of arctangent

      -

      Definition of arctangent as the reciprocal function of tangent and proof of this status

      +

      Definition of arctangent as the reciprocal function of tangent and proof of this status

      @@ -270,7 +270,7 @@

      Library Stdlib.Reals.Ratan

      -

      Derivative of arctangent

      +

      Derivative of arctangent

      @@ -287,7 +287,7 @@

      Library Stdlib.Reals.Ratan

      -

      Definition of the arctangent function as the sum of the arctan power series

      +

      Definition of the arctangent function as the sum of the arctan power series

      @@ -335,7 +335,7 @@

      Library Stdlib.Reals.Ratan

      -

      Proof of the equivalence of the two definitions between -1 and 1

      +

      Proof of the equivalence of the two definitions between -1 and 1

      @@ -474,7 +474,7 @@

      Library Stdlib.Reals.Ratan

      -

      Relation between arctangent and sine and cosine

      +

      Relation between arctangent and sine and cosine

      @@ -491,7 +491,7 @@

      Library Stdlib.Reals.Ratan

      -

      Definition of arcsine based on arctangent

      +

      Definition of arcsine based on arctangent

      @@ -509,7 +509,7 @@

      Library Stdlib.Reals.Ratan

      -

      Relation between arcsin and arctangent

      +

      Relation between arcsin and arctangent

      @@ -522,7 +522,7 @@

      Library Stdlib.Reals.Ratan

      -

      arcsine of specific values

      +

      arcsine of specific values

      @@ -544,7 +544,7 @@

      Library Stdlib.Reals.Ratan

      -

      Bounds of arcsine

      +

      Bounds of arcsine

      @@ -561,7 +561,7 @@

      Library Stdlib.Reals.Ratan

      -

      arcsine is the left and right inverse of sine

      +

      arcsine is the left and right inverse of sine

      @@ -578,7 +578,7 @@

      Library Stdlib.Reals.Ratan

      -

      Relation between arcsin, cosine and tangent

      +

      Relation between arcsin, cosine and tangent

      @@ -595,7 +595,7 @@

      Library Stdlib.Reals.Ratan

      -

      Derivative of arcsine

      +

      Derivative of arcsine

      @@ -612,7 +612,7 @@

      Library Stdlib.Reals.Ratan

      -

      Definition of arccosine based on arctangent

      +

      Definition of arccosine based on arctangent

      @@ -630,7 +630,7 @@

      Library Stdlib.Reals.Ratan

      -

      Relation between arccosine, arcsine and arctangent

      +

      Relation between arccosine, arcsine and arctangent

      @@ -651,7 +651,7 @@

      Library Stdlib.Reals.Ratan

      -

      arccosine of specific values

      +

      arccosine of specific values

      @@ -673,7 +673,7 @@

      Library Stdlib.Reals.Ratan

      -

      Bounds of arccosine

      +

      Bounds of arccosine

      @@ -690,7 +690,7 @@

      Library Stdlib.Reals.Ratan

      -

      arccosine is the left and right inverse of cosine

      +

      arccosine is the left and right inverse of cosine

      @@ -707,7 +707,7 @@

      Library Stdlib.Reals.Ratan

      -

      Relation between arccosine, sine and tangent

      +

      Relation between arccosine, sine and tangent

      @@ -724,7 +724,7 @@

      Library Stdlib.Reals.Ratan

      -

      Derivative of arccosine

      +

      Derivative of arccosine

      diff --git a/master/stdlib/Stdlib.Reals.Raxioms.html b/master/stdlib/Stdlib.Reals.Raxioms.html index 358036efd8..03f8646546 100644 --- a/master/stdlib/Stdlib.Reals.Raxioms.html +++ b/master/stdlib/Stdlib.Reals.Raxioms.html @@ -69,11 +69,11 @@

      Library Stdlib.Reals.Raxioms

      -

      Field operations

      +

      Field operations

      -

      Addition

      +

      Addition

      @@ -141,7 +141,7 @@

      Library Stdlib.Reals.Raxioms

      -

      Multiplication

      +

      Multiplication

      @@ -176,7 +176,7 @@

      Library Stdlib.Reals.Raxioms

      -

      Distributivity

      +

      Distributivity

      @@ -192,11 +192,11 @@

      Library Stdlib.Reals.Raxioms

      -

      Order

      +

      Order

      -

      Lower

      +

      Lower

      @@ -222,7 +222,7 @@

      Library Stdlib.Reals.Raxioms

      -

      Injection from N to R

      +

      Injection from N to R

      @@ -241,7 +241,7 @@

      Library Stdlib.Reals.Raxioms

      -

      R Archimedean

      +

      R Archimedean

      @@ -269,7 +269,7 @@

      Library Stdlib.Reals.Raxioms

      -

      R Complete

      +

      R Complete

      diff --git a/master/stdlib/Stdlib.Reals.Rbasic_fun.html b/master/stdlib/Stdlib.Reals.Rbasic_fun.html index 407e5a4529..ab97d34f28 100644 --- a/master/stdlib/Stdlib.Reals.Rbasic_fun.html +++ b/master/stdlib/Stdlib.Reals.Rbasic_fun.html @@ -65,7 +65,7 @@

      Library Stdlib.Reals.Rbasic_fun

      -

      Rmin

      +

      Rmin

      @@ -131,7 +131,7 @@

      Library Stdlib.Reals.Rbasic_fun

      -

      Rmax

      +

      Rmax

      @@ -203,7 +203,7 @@

      Library Stdlib.Reals.Rbasic_fun

      -

      Rabsolu

      +

      Rabsolu

      diff --git a/master/stdlib/Stdlib.Reals.Rdefinitions.html b/master/stdlib/Stdlib.Reals.Rdefinitions.html index 06eb721a93..5cb4d86db2 100644 --- a/master/stdlib/Stdlib.Reals.Rdefinitions.html +++ b/master/stdlib/Stdlib.Reals.Rdefinitions.html @@ -178,7 +178,7 @@

      Library Stdlib.Reals.Rdefinitions

      -

      Injection from Z to R

      +

      Injection from Z to R

      @@ -266,7 +266,7 @@

      Library Stdlib.Reals.Rdefinitions

      -

      Number notation for constants

      +

      Number notation for constants

      diff --git a/master/stdlib/Stdlib.Reals.Rfunctions.html b/master/stdlib/Stdlib.Reals.Rfunctions.html index 9a35a8c812..ad67ac74fa 100644 --- a/master/stdlib/Stdlib.Reals.Rfunctions.html +++ b/master/stdlib/Stdlib.Reals.Rfunctions.html @@ -74,7 +74,7 @@

      Library Stdlib.Reals.Rfunctions

      -

      Lemmas about factorial

      +

      Lemmas about factorial

      @@ -91,7 +91,7 @@

      Library Stdlib.Reals.Rfunctions

      -

      Power

      +

      Power

      @@ -230,7 +230,7 @@

      Library Stdlib.Reals.Rfunctions

      -

      PowerRZ

      +

      PowerRZ

      @@ -379,7 +379,7 @@

      Library Stdlib.Reals.Rfunctions

      -

      Sum of n first naturals

      +

      Sum of n first naturals

      @@ -403,7 +403,7 @@

      Library Stdlib.Reals.Rfunctions

      -

      Sum

      +

      Sum

      @@ -431,7 +431,7 @@

      Library Stdlib.Reals.Rfunctions

      -

      Distance in R

      +

      Distance in R

      @@ -477,7 +477,7 @@

      Library Stdlib.Reals.Rfunctions

      -

      Infinite Sum

      +

      Infinite Sum

      diff --git a/master/stdlib/Stdlib.Reals.Rgeom.html b/master/stdlib/Stdlib.Reals.Rgeom.html index 9974ab5335..a1c396a1a6 100644 --- a/master/stdlib/Stdlib.Reals.Rgeom.html +++ b/master/stdlib/Stdlib.Reals.Rgeom.html @@ -57,7 +57,7 @@

      Library Stdlib.Reals.Rgeom

      -

      Distance

      +

      Distance

      @@ -91,7 +91,7 @@

      Library Stdlib.Reals.Rgeom

      -

      Translation

      +

      Translation

      @@ -113,7 +113,7 @@

      Library Stdlib.Reals.Rgeom

      -

      Rotation

      +

      Rotation

      @@ -147,7 +147,7 @@

      Library Stdlib.Reals.Rgeom

      -

      Similarity

      +

      Similarity

      diff --git a/master/stdlib/Stdlib.Reals.RiemannInt_SF.html b/master/stdlib/Stdlib.Reals.RiemannInt_SF.html index 7592f542a8..632d78de0b 100644 --- a/master/stdlib/Stdlib.Reals.RiemannInt_SF.html +++ b/master/stdlib/Stdlib.Reals.RiemannInt_SF.html @@ -62,7 +62,7 @@

      Library Stdlib.Reals.RiemannInt_SF

      -

      Each bounded subset of N has a maximal element

      +

      Each bounded subset of N has a maximal element

      @@ -84,7 +84,7 @@

      Library Stdlib.Reals.RiemannInt_SF

      -

      Step functions

      +

      Step functions

      @@ -124,7 +124,7 @@

      Library Stdlib.Reals.RiemannInt_SF

      -

      Class of step functions

      +

      Class of step functions

      @@ -156,7 +156,7 @@

      Library Stdlib.Reals.RiemannInt_SF

      -

      Integral of step functions

      +

      Integral of step functions

      @@ -170,7 +170,7 @@

      Library Stdlib.Reals.RiemannInt_SF

      -

      Properties of step functions

      +

      Properties of step functions

      diff --git a/master/stdlib/Stdlib.Reals.Rlimit.html b/master/stdlib/Stdlib.Reals.Rlimit.html index eaccee25f9..79d2560141 100644 --- a/master/stdlib/Stdlib.Reals.Rlimit.html +++ b/master/stdlib/Stdlib.Reals.Rlimit.html @@ -63,7 +63,7 @@

      Library Stdlib.Reals.Rlimit

      -

      Calculus

      +

      Calculus

      @@ -101,7 +101,7 @@

      Library Stdlib.Reals.Rlimit

      -

      Metric space

      +

      Metric space

      @@ -120,7 +120,7 @@

      Library Stdlib.Reals.Rlimit

      -

      Limit in Metric space

      +

      Limit in Metric space

      @@ -139,7 +139,7 @@

      Library Stdlib.Reals.Rlimit

      -

      R is a metric space

      +

      R is a metric space

      @@ -155,7 +155,7 @@

      Library Stdlib.Reals.Rlimit

      -

      Limit 1 arg

      +

      Limit 1 arg

      diff --git a/master/stdlib/Stdlib.Reals.Rlogic.html b/master/stdlib/Stdlib.Reals.Rlogic.html index bee7ec8cbb..7212ecf595 100644 --- a/master/stdlib/Stdlib.Reals.Rlogic.html +++ b/master/stdlib/Stdlib.Reals.Rlogic.html @@ -75,7 +75,7 @@

      Library Stdlib.Reals.Rlogic

      -

      Decidability of arithmetical statements

      +

      Decidability of arithmetical statements

      @@ -101,7 +101,7 @@

      Library Stdlib.Reals.Rlogic

      -

      Derivability of the Archimedean axiom

      +

      Derivability of the Archimedean axiom

      @@ -121,7 +121,7 @@

      Library Stdlib.Reals.Rlogic

      -

      Decidability of negated formulas

      +

      Decidability of negated formulas

      diff --git a/master/stdlib/Stdlib.Reals.Rminmax.html b/master/stdlib/Stdlib.Reals.Rminmax.html index 066b025e04..09fcfc2fbd 100644 --- a/master/stdlib/Stdlib.Reals.Rminmax.html +++ b/master/stdlib/Stdlib.Reals.Rminmax.html @@ -55,7 +55,7 @@

      Library Stdlib.Reals.Rminmax

      -

      Maximum and Minimum of two real numbers

      +

      Maximum and Minimum of two real numbers

      @@ -112,7 +112,7 @@

      Library Stdlib.Reals.Rminmax

      -

      Properties specific to the R domain

      +

      Properties specific to the R domain

      diff --git a/master/stdlib/Stdlib.Reals.Rpower.html b/master/stdlib/Stdlib.Reals.Rpower.html index 67a4abc1b1..a67fde76f8 100644 --- a/master/stdlib/Stdlib.Reals.Rpower.html +++ b/master/stdlib/Stdlib.Reals.Rpower.html @@ -76,7 +76,7 @@

      Library Stdlib.Reals.Rpower

      -

      Properties of Exp

      +

      Properties of Exp

      @@ -129,7 +129,7 @@

      Library Stdlib.Reals.Rpower

      -

      Properties of Ln

      +

      Properties of Ln

      @@ -169,7 +169,7 @@

      Library Stdlib.Reals.Rpower

      -

      Definition of Rpower

      +

      Definition of Rpower

      @@ -181,7 +181,7 @@

      Library Stdlib.Reals.Rpower

      -

      Properties of Rpower

      +

      Properties of Rpower

      @@ -248,7 +248,7 @@

      Library Stdlib.Reals.Rpower

      -

      Differentiability of Ln and Rpower

      +

      Differentiability of Ln and Rpower

      diff --git a/master/stdlib/Stdlib.Reals.Rseries.html b/master/stdlib/Stdlib.Reals.Rseries.html index 24f343e354..b85e86f9a2 100644 --- a/master/stdlib/Stdlib.Reals.Rseries.html +++ b/master/stdlib/Stdlib.Reals.Rseries.html @@ -58,7 +58,7 @@

      Library Stdlib.Reals.Rseries

      -

      Definition of sequence and properties

      +

      Definition of sequence and properties

      @@ -130,7 +130,7 @@

      Library Stdlib.Reals.Rseries

      -

      Definition of Power Series and properties

      +

      Definition of Power Series and properties

      diff --git a/master/stdlib/Stdlib.Reals.Rtopology.html b/master/stdlib/Stdlib.Reals.Rtopology.html index c9a6cdbe30..c1ca8c173c 100644 --- a/master/stdlib/Stdlib.Reals.Rtopology.html +++ b/master/stdlib/Stdlib.Reals.Rtopology.html @@ -59,7 +59,7 @@

      Library Stdlib.Reals.Rtopology

      -

      General definitions and propositions

      +

      General definitions and propositions

      @@ -307,7 +307,7 @@

      Library Stdlib.Reals.Rtopology

      -

      Proof of Bolzano-Weierstrass theorem

      +

      Proof of Bolzano-Weierstrass theorem

      @@ -380,7 +380,7 @@

      Library Stdlib.Reals.Rtopology

      -

      Proof of Heine's theorem

      +

      Proof of Heine's theorem

      diff --git a/master/stdlib/Stdlib.Reals.Rtrigo1.html b/master/stdlib/Stdlib.Reals.Rtrigo1.html index 33a7328db7..93f3b42ca9 100644 --- a/master/stdlib/Stdlib.Reals.Rtrigo1.html +++ b/master/stdlib/Stdlib.Reals.Rtrigo1.html @@ -164,7 +164,7 @@

      Library Stdlib.Reals.Rtrigo1

      -

      Some properties of cos, sin and tan

      +

      Some properties of cos, sin and tan

      @@ -258,7 +258,7 @@

      Library Stdlib.Reals.Rtrigo1

      -

      Using series definitions of cos and sin

      +

      Using series definitions of cos and sin

      @@ -292,7 +292,7 @@

      Library Stdlib.Reals.Rtrigo1

      -

      Increasing and decreasing of cos and sin

      +

      Increasing and decreasing of cos and sin

      diff --git a/master/stdlib/Stdlib.Reals.Rtrigo_def.html b/master/stdlib/Stdlib.Reals.Rtrigo_def.html index 8ae2343ea8..efb7776fc2 100644 --- a/master/stdlib/Stdlib.Reals.Rtrigo_def.html +++ b/master/stdlib/Stdlib.Reals.Rtrigo_def.html @@ -54,7 +54,7 @@

      Library Stdlib.Reals.Rtrigo_def

      -

      Definition of exponential

      +

      Definition of exponential

      @@ -80,7 +80,7 @@

      Library Stdlib.Reals.Rtrigo_def

      -

      Definition of hyperbolic functions

      +

      Definition of hyperbolic functions

      @@ -154,7 +154,7 @@

      Library Stdlib.Reals.Rtrigo_def

      -

      Properties

      +

      Properties

      diff --git a/master/stdlib/Stdlib.Reals.Rtrigo_facts.html b/master/stdlib/Stdlib.Reals.Rtrigo_facts.html index e71d227d66..03ab5ba562 100644 --- a/master/stdlib/Stdlib.Reals.Rtrigo_facts.html +++ b/master/stdlib/Stdlib.Reals.Rtrigo_facts.html @@ -61,7 +61,7 @@

      Library Stdlib.Reals.Rtrigo_facts

      -

      Bounds of expressions with trigonometric functions

      +

      Bounds of expressions with trigonometric functions

      @@ -78,11 +78,11 @@

      Library Stdlib.Reals.Rtrigo_facts

      -

      Express trigonometric functions with each other

      +

      Express trigonometric functions with each other

      -

      Express sin and cos with each other

      +

      Express sin and cos with each other

      @@ -115,7 +115,7 @@

      Library Stdlib.Reals.Rtrigo_facts

      -

      Express tan with sin and cos

      +

      Express tan with sin and cos

      @@ -148,7 +148,7 @@

      Library Stdlib.Reals.Rtrigo_facts

      -

      Express sin and cos with tan

      +

      Express sin and cos with tan

      @@ -165,7 +165,7 @@

      Library Stdlib.Reals.Rtrigo_facts

      -

      Additional shift lemmas for sin, cos, tan

      +

      Additional shift lemmas for sin, cos, tan

      diff --git a/master/stdlib/Stdlib.Relations.Operators_Properties.html b/master/stdlib/Stdlib.Relations.Operators_Properties.html index e5d3503f26..acb3c15a89 100644 --- a/master/stdlib/Stdlib.Relations.Operators_Properties.html +++ b/master/stdlib/Stdlib.Relations.Operators_Properties.html @@ -49,8 +49,8 @@

      Library Stdlib.Relations.Operators_Properties

      -

      Some properties of the operators on relations

      -

      Initial version by Bruno Barras

      +

      Some properties of the operators on relations

      +

      Initial version by Bruno Barras

      @@ -185,12 +185,12 @@

      Library Stdlib.Relations.Operators_Properties

      -

      Equivalences between the different definition of the reflexive,

      +

      Equivalences between the different definition of the reflexive,

      symmetric, transitive closures
      -

      Contributed by P. Castéran

      +

      Contributed by P. Castéran

      diff --git a/master/stdlib/Stdlib.Relations.Relation_Operators.html b/master/stdlib/Stdlib.Relations.Relation_Operators.html index f9284f29c9..3b1d428dfb 100644 --- a/master/stdlib/Stdlib.Relations.Relation_Operators.html +++ b/master/stdlib/Stdlib.Relations.Relation_Operators.html @@ -49,14 +49,14 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Some operators on relations

      -

      Initial authors: Bruno Barras, Cristina Cornes

      -

      -

      Some of the initial definitions were taken from :

      -

      Constructing Recursion Operators in Type Theory

      -

      L. Paulson JSC (1986) 2, 325-355

      -

      -

      Further extensions by Pierre Castéran

      +

      Some operators on relations

      +

      Initial authors: Bruno Barras, Cristina Cornes

      +

      +

      Some of the initial definitions were taken from :

      +

      Constructing Recursion Operators in Type Theory

      +

      L. Paulson JSC (1986) 2, 325-355

      +

      +

      Further extensions by Pierre Castéran

      @@ -68,7 +68,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Transitive closure

      +

      Transitive closure

      @@ -124,7 +124,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Reflexive closure

      +

      Reflexive closure

      @@ -154,7 +154,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Reflexive-transitive closure

      +

      Reflexive-transitive closure

      @@ -214,7 +214,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Reflexive-symmetric-transitive closure

      +

      Reflexive-symmetric-transitive closure

      @@ -276,7 +276,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Converse of a relation

      +

      Converse of a relation

      @@ -294,7 +294,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Union of relations

      +

      Union of relations

      @@ -312,7 +312,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Disjoint union of relations

      +

      Disjoint union of relations

      @@ -336,7 +336,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Lexicographic order on dependent pairs

      +

      Lexicographic order on dependent pairs

      @@ -369,7 +369,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Lexicographic order on pairs

      +

      Lexicographic order on pairs

      @@ -404,7 +404,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Product of relations

      +

      Product of relations

      @@ -430,7 +430,7 @@

      Library Stdlib.Relations.Relation_Operators

      -

      Multiset of two relations

      +

      Multiset of two relations

      diff --git a/master/stdlib/Stdlib.Sorting.CPermutation.html b/master/stdlib/Stdlib.Sorting.CPermutation.html index 9d6d46bd6a..9b23ff17d0 100644 --- a/master/stdlib/Stdlib.Sorting.CPermutation.html +++ b/master/stdlib/Stdlib.Sorting.CPermutation.html @@ -49,7 +49,7 @@

      Library Stdlib.Sorting.CPermutation

      -

      Circular Shifts (aka Cyclic Permutations)

      +

      Circular Shifts (aka Cyclic Permutations)

      diff --git a/master/stdlib/Stdlib.Sorting.Heap.html b/master/stdlib/Stdlib.Sorting.Heap.html index 9349cb16ed..3c1c9581d4 100644 --- a/master/stdlib/Stdlib.Sorting.Heap.html +++ b/master/stdlib/Stdlib.Sorting.Heap.html @@ -74,11 +74,11 @@

      Library Stdlib.Sorting.Heap

      -

      Trees and heap trees

      +

      Trees and heap trees

      -

      Definition of trees over an ordered set

      +

      Definition of trees over an ordered set

      @@ -143,7 +143,7 @@

      Library Stdlib.Sorting.Heap

      -

      The heap property

      +

      The heap property

      @@ -195,7 +195,7 @@

      Library Stdlib.Sorting.Heap

      -

      Merging two sorted lists

      +

      Merging two sorted lists

      @@ -227,7 +227,7 @@

      Library Stdlib.Sorting.Heap

      -

      From trees to multisets

      +

      From trees to multisets

      @@ -263,11 +263,11 @@

      Library Stdlib.Sorting.Heap

      -

      From lists to sorted lists

      +

      From lists to sorted lists

      -

      Specification of heap insertion

      +

      Specification of heap insertion

      @@ -289,7 +289,7 @@

      Library Stdlib.Sorting.Heap

      -

      Building a heap from a list

      +

      Building a heap from a list

      @@ -309,7 +309,7 @@

      Library Stdlib.Sorting.Heap

      -

      Building the sorted list

      +

      Building the sorted list

      @@ -330,7 +330,7 @@

      Library Stdlib.Sorting.Heap

      -

      Specification of treesort

      +

      Specification of treesort

      diff --git a/master/stdlib/Stdlib.Sorting.PermutSetoid.html b/master/stdlib/Stdlib.Sorting.PermutSetoid.html index b3d81f82b5..ee6af92e4d 100644 --- a/master/stdlib/Stdlib.Sorting.PermutSetoid.html +++ b/master/stdlib/Stdlib.Sorting.PermutSetoid.html @@ -89,7 +89,7 @@

      Library Stdlib.Sorting.PermutSetoid

      -

      From lists to multisets

      +

      From lists to multisets

      @@ -128,7 +128,7 @@

      Library Stdlib.Sorting.PermutSetoid

      -

      permutation: definition and basic properties

      +

      permutation: definition and basic properties

      @@ -202,7 +202,7 @@

      Library Stdlib.Sorting.PermutSetoid

      -

      Some inversion results.

      +

      Some inversion results.

      diff --git a/master/stdlib/Stdlib.Sorting.Permutation.html b/master/stdlib/Stdlib.Sorting.Permutation.html index 17a8cc53ab..f8ff8da32a 100644 --- a/master/stdlib/Stdlib.Sorting.Permutation.html +++ b/master/stdlib/Stdlib.Sorting.Permutation.html @@ -49,7 +49,7 @@

      Library Stdlib.Sorting.Permutation

      -

      List permutations as a composition of adjacent transpositions

      +

      List permutations as a composition of adjacent transpositions

      diff --git a/master/stdlib/Stdlib.Strings.Ascii.html b/master/stdlib/Stdlib.Strings.Ascii.html index 6ee5fc1667..064118d0f5 100644 --- a/master/stdlib/Stdlib.Strings.Ascii.html +++ b/master/stdlib/Stdlib.Strings.Ascii.html @@ -62,7 +62,7 @@

      Library Stdlib.Strings.Ascii

      -

      Definition of ascii characters

      +

      Definition of ascii characters

      @@ -142,7 +142,7 @@

      Library Stdlib.Strings.Ascii

      -

      Conversion between natural numbers modulo 256 and ascii characters

      +

      Conversion between natural numbers modulo 256 and ascii characters

      @@ -284,7 +284,7 @@

      Library Stdlib.Strings.Ascii

      -

      Concrete syntax

      +

      Concrete syntax

      diff --git a/master/stdlib/Stdlib.Strings.PString.html b/master/stdlib/Stdlib.Strings.PString.html index 997c97271a..c9c3b760c9 100644 --- a/master/stdlib/Stdlib.Strings.PString.html +++ b/master/stdlib/Stdlib.Strings.PString.html @@ -128,7 +128,7 @@

      Library Stdlib.Strings.PString

      -

      Properties of string length

      +

      Properties of string length

      @@ -169,7 +169,7 @@

      Library Stdlib.Strings.PString

      -

      Properties of string get

      +

      Properties of string get

      @@ -212,7 +212,7 @@

      Library Stdlib.Strings.PString

      -

      Properties of string comparison

      +

      Properties of string comparison

      @@ -293,7 +293,7 @@

      Library Stdlib.Strings.PString

      -

      Properties of make

      +

      Properties of make

      @@ -305,7 +305,7 @@

      Library Stdlib.Strings.PString

      -

      Properties of cat

      +

      Properties of cat

      @@ -327,7 +327,7 @@

      Library Stdlib.Strings.PString

      -

      Properties of sub

      +

      Properties of sub

      @@ -375,7 +375,7 @@

      Library Stdlib.Strings.PString

      -

      Ordered type

      +

      Ordered type

      diff --git a/master/stdlib/Stdlib.Strings.PrimStringAxioms.html b/master/stdlib/Stdlib.Strings.PrimStringAxioms.html index 64a0cd131d..32ff049110 100644 --- a/master/stdlib/Stdlib.Strings.PrimStringAxioms.html +++ b/master/stdlib/Stdlib.Strings.PrimStringAxioms.html @@ -56,7 +56,7 @@

      Library Stdlib.Strings.PrimStringAxioms

      -

      Conversion to / from lists

      +

      Conversion to / from lists

      @@ -91,7 +91,7 @@

      Library Stdlib.Strings.PrimStringAxioms

      -

      Axioms relating string operations with list operations

      +

      Axioms relating string operations with list operations

      diff --git a/master/stdlib/Stdlib.Strings.String.html b/master/stdlib/Stdlib.Strings.String.html index d82bdd1a78..d15ede72a4 100644 --- a/master/stdlib/Stdlib.Strings.String.html +++ b/master/stdlib/Stdlib.Strings.String.html @@ -65,7 +65,7 @@

      Library Stdlib.Strings.String

      -

      Definition of strings

      +

      Definition of strings

      @@ -136,7 +136,7 @@

      Library Stdlib.Strings.String

      -

      Compare strings lexicographically

      +

      Compare strings lexicographically

      @@ -186,7 +186,7 @@

      Library Stdlib.Strings.String

      -

      Concatenation of strings

      +

      Concatenation of strings

      @@ -277,7 +277,7 @@

      Library Stdlib.Strings.String

      -

      Substrings

      +

      Substrings

      @@ -326,7 +326,7 @@

      Library Stdlib.Strings.String

      -

      Concatenating lists of strings

      +

      Concatenating lists of strings

      @@ -347,7 +347,7 @@

      Library Stdlib.Strings.String

      -

      Test functions

      +

      Test functions

      @@ -499,7 +499,7 @@

      Library Stdlib.Strings.String

      -

      Conversion to/from list ascii and list byte

      +

      Conversion to/from list ascii and list byte

      @@ -542,7 +542,7 @@

      Library Stdlib.Strings.String

      -

      Concrete syntax

      +

      Concrete syntax

      diff --git a/master/stdlib/Stdlib.Structures.DecidableType.html b/master/stdlib/Stdlib.Structures.DecidableType.html index 488cdd249c..ffb1a9ca0f 100644 --- a/master/stdlib/Stdlib.Structures.DecidableType.html +++ b/master/stdlib/Stdlib.Structures.DecidableType.html @@ -60,7 +60,7 @@

      Library Stdlib.Structures.DecidableType

      FSets and FMap. Please use Structures/Equalities.v directly now.
      -

      Types with Equalities, and nothing more (for subtyping purpose)

      +

      Types with Equalities, and nothing more (for subtyping purpose)

      @@ -72,7 +72,7 @@

      Library Stdlib.Structures.DecidableType

      -

      Types with decidable Equalities (but no ordering)

      +

      Types with decidable Equalities (but no ordering)

      @@ -84,7 +84,7 @@

      Library Stdlib.Structures.DecidableType

      -

      Additional notions about keys and datas used in FMap

      +

      Additional notions about keys and datas used in FMap

      diff --git a/master/stdlib/Stdlib.Structures.DecidableTypeEx.html b/master/stdlib/Stdlib.Structures.DecidableTypeEx.html index 5e1d093a99..66742a0683 100644 --- a/master/stdlib/Stdlib.Structures.DecidableTypeEx.html +++ b/master/stdlib/Stdlib.Structures.DecidableTypeEx.html @@ -57,7 +57,7 @@

      Library Stdlib.Structures.DecidableTypeEx

      FSets and FMap. Please use Structures/Equalities.v directly now.
      -

      Examples of Decidable Type structures.

      +

      Examples of Decidable Type structures.

      diff --git a/master/stdlib/Stdlib.Structures.Equalities.html b/master/stdlib/Stdlib.Structures.Equalities.html index cece2becfa..9ec01ca262 100644 --- a/master/stdlib/Stdlib.Structures.Equalities.html +++ b/master/stdlib/Stdlib.Structures.Equalities.html @@ -69,7 +69,7 @@

      Library Stdlib.Structures.Equalities

      -

      Structure with just a base type t

      +

      Structure with just a base type t

      @@ -83,7 +83,7 @@

      Library Stdlib.Structures.Equalities

      -

      Structure with an equality relation eq

      +

      Structure with an equality relation eq

      @@ -109,7 +109,7 @@

      Library Stdlib.Structures.Equalities

      -

      Specification of the equality via the Equivalence type class

      +

      Specification of the equality via the Equivalence type class

      @@ -124,7 +124,7 @@

      Library Stdlib.Structures.Equalities

      -

      Earlier specification of equality by three separate lemmas.

      +

      Earlier specification of equality by three separate lemmas.

      @@ -144,7 +144,7 @@

      Library Stdlib.Structures.Equalities

      -

      Types with decidable equality

      +

      Types with decidable equality

      @@ -158,7 +158,7 @@

      Library Stdlib.Structures.Equalities

      -

      Boolean Equality

      +

      Boolean Equality

      @@ -253,7 +253,7 @@

      Library Stdlib.Structures.Equalities

      -

      Compatibility wrapper from/to the old version of

      +

      Compatibility wrapper from/to the old version of

      EqualityType and DecidableType
      @@ -292,7 +292,7 @@

      Library Stdlib.Structures.Equalities

      -

      Having eq_dec is equivalent to having eqb and its spec.

      +

      Having eq_dec is equivalent to having eqb and its spec.

      @@ -390,7 +390,7 @@

      Library Stdlib.Structures.Equalities

      -

      UsualDecidableType

      +

      UsualDecidableType

      diff --git a/master/stdlib/Stdlib.Structures.EqualitiesFacts.html b/master/stdlib/Stdlib.Structures.EqualitiesFacts.html index 3896e1551a..5a1df74c66 100644 --- a/master/stdlib/Stdlib.Structures.EqualitiesFacts.html +++ b/master/stdlib/Stdlib.Structures.EqualitiesFacts.html @@ -55,7 +55,7 @@

      Library Stdlib.Structures.EqualitiesFacts

      -

      Keys and datas used in the future MMaps

      +

      Keys and datas used in the future MMaps

      @@ -227,7 +227,7 @@

      Library Stdlib.Structures.EqualitiesFacts

      -

      PairDecidableType

      +

      PairDecidableType

      diff --git a/master/stdlib/Stdlib.Structures.GenericMinMax.html b/master/stdlib/Stdlib.Structures.GenericMinMax.html index c270b7b2f8..9ea47a8920 100644 --- a/master/stdlib/Stdlib.Structures.GenericMinMax.html +++ b/master/stdlib/Stdlib.Structures.GenericMinMax.html @@ -52,11 +52,11 @@

      Library Stdlib.Structures.GenericMinMax

      -

      A Generic construction of min and max

      +

      A Generic construction of min and max

      -

      First, an interface for types with max and/or min

      +

      First, an interface for types with max and/or min

      @@ -82,7 +82,7 @@

      Library Stdlib.Structures.GenericMinMax

      -

      Any OrderedTypeFull can be equipped by max and min

      +

      Any OrderedTypeFull can be equipped by max and min

      based on the compare function.
      @@ -123,7 +123,7 @@

      Library Stdlib.Structures.GenericMinMax

      -

      Consequences of the minimalist interface: facts about max and min.

      +

      Consequences of the minimalist interface: facts about max and min.

      @@ -201,7 +201,7 @@

      Library Stdlib.Structures.GenericMinMax

      -

      Semi-lattice algebraic properties of max

      +

      Semi-lattice algebraic properties of max

      @@ -228,7 +228,7 @@

      Library Stdlib.Structures.GenericMinMax

      -

      Least-upper bound properties of max

      +

      Least-upper bound properties of max

      @@ -387,7 +387,7 @@

      Library Stdlib.Structures.GenericMinMax

      -

      Combined properties of min and max

      +

      Combined properties of min and max

      @@ -469,7 +469,7 @@

      Library Stdlib.Structures.GenericMinMax

      -

      Properties requiring a decidable order

      +

      Properties requiring a decidable order

      @@ -549,7 +549,7 @@

      Library Stdlib.Structures.GenericMinMax

      -

      When the equality is Leibniz, we can skip a few Proper precondition.

      +

      When the equality is Leibniz, we can skip a few Proper precondition.

      diff --git a/master/stdlib/Stdlib.Structures.OrderedType.html b/master/stdlib/Stdlib.Structures.OrderedType.html index 173fef4a04..b7643e335a 100644 --- a/master/stdlib/Stdlib.Structures.OrderedType.html +++ b/master/stdlib/Stdlib.Structures.OrderedType.html @@ -57,7 +57,7 @@

      Library Stdlib.Structures.OrderedType

      FSets and FMap. Please use Structures/Orders.v directly now.
      -

      Ordered types

      +

      Ordered types

      @@ -138,7 +138,7 @@

      Library Stdlib.Structures.OrderedType

      -

      Ordered types properties

      +

      Ordered types properties

      diff --git a/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html b/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html index 611826335a..4ae99807c7 100644 --- a/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html +++ b/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html @@ -50,7 +50,7 @@

      Library Stdlib.Structures.OrderedTypeAlt

      -

      An alternative (but equivalent) presentation for an Ordered Type

      +

      An alternative (but equivalent) presentation for an Ordered Type

      inferface.
      diff --git a/master/stdlib/Stdlib.Structures.OrderedTypeEx.html b/master/stdlib/Stdlib.Structures.OrderedTypeEx.html index 1be5813ce1..4bf74b5fa5 100644 --- a/master/stdlib/Stdlib.Structures.OrderedTypeEx.html +++ b/master/stdlib/Stdlib.Structures.OrderedTypeEx.html @@ -56,7 +56,7 @@

      Library Stdlib.Structures.OrderedTypeEx

      -

      Examples of Ordered Type structures.

      +

      Examples of Ordered Type structures.

      diff --git a/master/stdlib/Stdlib.Structures.Orders.html b/master/stdlib/Stdlib.Structures.Orders.html index 1df945b26c..811b159461 100644 --- a/master/stdlib/Stdlib.Structures.Orders.html +++ b/master/stdlib/Stdlib.Structures.Orders.html @@ -53,7 +53,7 @@

      Library Stdlib.Structures.Orders

      -

      Ordered types

      +

      Ordered types

      @@ -188,7 +188,7 @@

      Library Stdlib.Structures.Orders

      DecidableType.
      -

      Versions with eq being the usual Leibniz equality of Coq

      +

      Versions with eq being the usual Leibniz equality of Coq

      @@ -220,7 +220,7 @@

      Library Stdlib.Structures.Orders

      -

      Purely logical versions

      +

      Purely logical versions

      @@ -243,7 +243,7 @@

      Library Stdlib.Structures.Orders

      -

      Conversions

      +

      Conversions

      @@ -304,7 +304,7 @@

      Library Stdlib.Structures.Orders

      -

      Versions with boolean comparisons

      +

      Versions with boolean comparisons

      @@ -406,7 +406,7 @@

      Library Stdlib.Structures.Orders

      -

      From OrderedTypeFull to TotalTransitiveLeBool

      +

      From OrderedTypeFull to TotalTransitiveLeBool

      @@ -437,7 +437,7 @@

      Library Stdlib.Structures.Orders

      -

      From TotalTransitiveLeBool to OrderedTypeFull

      +

      From TotalTransitiveLeBool to OrderedTypeFull

      diff --git a/master/stdlib/Stdlib.Structures.OrdersAlt.html b/master/stdlib/Stdlib.Structures.OrdersAlt.html index 7cc97a0a87..b5e02aad68 100644 --- a/master/stdlib/Stdlib.Structures.OrdersAlt.html +++ b/master/stdlib/Stdlib.Structures.OrdersAlt.html @@ -55,12 +55,12 @@

      Library Stdlib.Structures.OrdersAlt

      -

      Some alternative (but equivalent) presentations for an Ordered Type

      +

      Some alternative (but equivalent) presentations for an Ordered Type

      inferface.
      -

      The original interface

      +

      The original interface

      @@ -72,7 +72,7 @@

      Library Stdlib.Structures.OrdersAlt

      -

      An interface based on compare

      +

      An interface based on compare

      @@ -102,7 +102,7 @@

      Library Stdlib.Structures.OrdersAlt

      -

      From OrderedTypeOrig to OrderedType.

      +

      From OrderedTypeOrig to OrderedType.

      @@ -141,7 +141,7 @@

      Library Stdlib.Structures.OrdersAlt

      -

      From OrderedType to OrderedTypeOrig.

      +

      From OrderedType to OrderedTypeOrig.

      @@ -170,7 +170,7 @@

      Library Stdlib.Structures.OrdersAlt

      -

      From OrderedTypeAlt to OrderedType.

      +

      From OrderedTypeAlt to OrderedType.

      diff --git a/master/stdlib/Stdlib.Structures.OrdersEx.html b/master/stdlib/Stdlib.Structures.OrdersEx.html index 384d6f76be..e4e83f8792 100644 --- a/master/stdlib/Stdlib.Structures.OrdersEx.html +++ b/master/stdlib/Stdlib.Structures.OrdersEx.html @@ -56,7 +56,7 @@

      Library Stdlib.Structures.OrdersEx

      -

      Examples of Ordered Type structures.

      +

      Examples of Ordered Type structures.

      diff --git a/master/stdlib/Stdlib.Structures.OrdersFacts.html b/master/stdlib/Stdlib.Structures.OrdersFacts.html index 3d616d9cc8..12e77cb7a0 100644 --- a/master/stdlib/Stdlib.Structures.OrdersFacts.html +++ b/master/stdlib/Stdlib.Structures.OrdersFacts.html @@ -56,7 +56,7 @@

      Library Stdlib.Structures.OrdersFacts

      -

      Properties of compare

      +

      Properties of compare

      @@ -105,7 +105,7 @@

      Library Stdlib.Structures.OrdersFacts

      -

      Properties of OrderedTypeFull

      +

      Properties of OrderedTypeFull

      @@ -165,7 +165,7 @@

      Library Stdlib.Structures.OrdersFacts

      -

      Properties of OrderedType

      +

      Properties of OrderedType

      @@ -260,7 +260,7 @@

      Library Stdlib.Structures.OrdersFacts

      -

      Tests of the order tactic

      +

      Tests of the order tactic

      @@ -298,7 +298,7 @@

      Library Stdlib.Structures.OrdersFacts

      -

      Reversed OrderedTypeFull.

      +

      Reversed OrderedTypeFull.

      @@ -349,7 +349,7 @@

      Library Stdlib.Structures.OrdersFacts

      -

      Order relations derived from a compare function.

      +

      Order relations derived from a compare function.

      diff --git a/master/stdlib/Stdlib.Structures.OrdersLists.html b/master/stdlib/Stdlib.Structures.OrdersLists.html index 221caaa59a..2dba225a5e 100644 --- a/master/stdlib/Stdlib.Structures.OrdersLists.html +++ b/master/stdlib/Stdlib.Structures.OrdersLists.html @@ -55,7 +55,7 @@

      Library Stdlib.Structures.OrdersLists

      -

      Specialization of results about lists modulo.

      +

      Specialization of results about lists modulo.

      @@ -110,7 +110,7 @@

      Library Stdlib.Structures.OrdersLists

      -

      Results about keys and data as manipulated in the future MMaps.

      +

      Results about keys and data as manipulated in the future MMaps.

      diff --git a/master/stdlib/Stdlib.Structures.OrdersTac.html b/master/stdlib/Stdlib.Structures.OrdersTac.html index 61c4cb68df..10f698a0e3 100644 --- a/master/stdlib/Stdlib.Structures.OrdersTac.html +++ b/master/stdlib/Stdlib.Structures.OrdersTac.html @@ -53,7 +53,7 @@

      Library Stdlib.Structures.OrdersTac

      -

      The order tactic

      +

      The order tactic

      @@ -92,7 +92,7 @@

      Library Stdlib.Structures.OrdersTac

      -

      The tactic requirements : a total order

      +

      The tactic requirements : a total order

      @@ -128,7 +128,7 @@

      Library Stdlib.Structures.OrdersTac

      -

      Properties that will be used by the order tactic

      +

      Properties that will be used by the order tactic

      @@ -238,7 +238,7 @@

      Library Stdlib.Structures.OrdersTac

      -

      MakeOrderTac : The functor providing the order tactic.

      +

      MakeOrderTac : The functor providing the order tactic.

      diff --git a/master/stdlib/Stdlib.Vectors.VectorDef.html b/master/stdlib/Stdlib.Vectors.VectorDef.html index e5b368b11b..70200685b5 100644 --- a/master/stdlib/Stdlib.Vectors.VectorDef.html +++ b/master/stdlib/Stdlib.Vectors.VectorDef.html @@ -437,7 +437,7 @@

      Library Stdlib.Vectors.VectorDef

      -

      Here are special non dependent useful instantiation of induction schemes

      +

      Here are special non dependent useful instantiation of induction schemes

      @@ -564,7 +564,7 @@

      Library Stdlib.Vectors.VectorDef

      -

      vector <=> list functions

      +

      vector <=> list functions

      diff --git a/master/stdlib/Stdlib.Vectors.VectorSpec.html b/master/stdlib/Stdlib.Vectors.VectorSpec.html index cf4609065d..a8050c7f6a 100644 --- a/master/stdlib/Stdlib.Vectors.VectorSpec.html +++ b/master/stdlib/Stdlib.Vectors.VectorSpec.html @@ -95,7 +95,7 @@

      Library Stdlib.Vectors.VectorSpec

      is true for the one that use lt
      -

      Properties of nth and nth_order

      +

      Properties of nth and nth_order

      @@ -136,7 +136,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of replace

      +

      Properties of replace

      @@ -182,7 +182,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of const

      +

      Properties of const

      @@ -197,7 +197,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of map

      +

      Properties of map

      @@ -238,7 +238,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of fold_left

      +

      Properties of fold_left

      @@ -252,7 +252,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of take

      +

      Properties of take

      @@ -274,7 +274,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of uncons and splitat

      +

      Properties of uncons and splitat

      @@ -305,7 +305,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of In

      +

      Properties of In

      @@ -318,7 +318,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of Forall and Forall2

      +

      Properties of Forall and Forall2

      @@ -372,7 +372,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of shiftin and shiftrepeat

      +

      Properties of shiftin and shiftrepeat

      @@ -411,7 +411,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of rev

      +

      Properties of rev

      @@ -449,7 +449,7 @@

      Library Stdlib.Vectors.VectorSpec

      -

      Properties of to_list

      +

      Properties of to_list

      diff --git a/master/stdlib/Stdlib.ZArith.BinInt.html b/master/stdlib/Stdlib.ZArith.BinInt.html index 43f8be1411..3339a7ab54 100644 --- a/master/stdlib/Stdlib.ZArith.BinInt.html +++ b/master/stdlib/Stdlib.ZArith.BinInt.html @@ -55,7 +55,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Binary Integers

      +

      Binary Integers

      @@ -90,7 +90,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Definitions of operations, now in a separate file

      +

      Definitions of operations, now in a separate file

      @@ -122,7 +122,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Logic Predicates

      +

      Logic Predicates

      @@ -172,7 +172,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Decidability of equality.

      +

      Decidability of equality.

      @@ -184,7 +184,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Proofs of morphisms, obvious since eq is Leibniz

      +

      Proofs of morphisms, obvious since eq is Leibniz

      @@ -209,7 +209,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Properties of pos_sub

      +

      Properties of pos_sub

      @@ -280,7 +280,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Operations and constants

      +

      Operations and constants

      @@ -298,7 +298,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Addition is commutative

      +

      Addition is commutative

      @@ -310,7 +310,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Opposite distributes over addition

      +

      Opposite distributes over addition

      @@ -322,7 +322,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Opposite is injective

      +

      Opposite is injective

      @@ -334,7 +334,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Addition is associative

      +

      Addition is associative

      @@ -356,7 +356,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Opposite is inverse for addition

      +

      Opposite is inverse for addition

      @@ -368,7 +368,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Multiplication and Opposite

      +

      Multiplication and Opposite

      @@ -380,7 +380,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Distributivity of multiplication over addition

      +

      Distributivity of multiplication over addition

      @@ -399,11 +399,11 @@

      Library Stdlib.ZArith.BinInt

      -

      Proofs of specifications

      +

      Proofs of specifications

      -

      Specification of constants

      +

      Specification of constants

      @@ -418,7 +418,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of addition

      +

      Specification of addition

      @@ -433,7 +433,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of opposite

      +

      Specification of opposite

      @@ -448,7 +448,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of successor and predecessor

      +

      Specification of successor and predecessor

      @@ -466,7 +466,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of subtraction

      +

      Specification of subtraction

      @@ -481,7 +481,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of multiplication

      +

      Specification of multiplication

      @@ -496,7 +496,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of comparisons and order

      +

      Specification of comparisons and order

      @@ -588,7 +588,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of minimum and maximum

      +

      Specification of minimum and maximum

      @@ -609,7 +609,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Induction principles based on successor / predecessor

      +

      Induction principles based on successor / predecessor

      @@ -650,7 +650,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of absolute value

      +

      Specification of absolute value

      @@ -665,7 +665,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of sign

      +

      Specification of sign

      @@ -683,7 +683,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of power

      +

      Specification of power

      @@ -712,7 +712,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of square

      +

      Specification of square

      @@ -724,7 +724,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of square root

      +

      Specification of square root

      @@ -747,7 +747,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Specification of logarithm

      +

      Specification of logarithm

      @@ -776,7 +776,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Multiplication and Doubling

      +

      Multiplication and Doubling

      @@ -794,7 +794,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Correctness proofs for Trunc division

      +

      Correctness proofs for Trunc division

      @@ -826,7 +826,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Correctness proofs for Floor division

      +

      Correctness proofs for Floor division

      @@ -859,7 +859,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Extra properties about divide

      +

      Extra properties about divide

      @@ -877,7 +877,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Correctness proofs for gcd

      +

      Correctness proofs for gcd

      @@ -918,7 +918,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Extra properties about testbit

      +

      Extra properties about testbit

      @@ -943,7 +943,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Proofs of specifications for bitwise operations

      +

      Proofs of specifications for bitwise operations

      @@ -1122,7 +1122,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Comparison and opposite

      +

      Comparison and opposite

      @@ -1134,7 +1134,7 @@

      Library Stdlib.ZArith.BinInt

      -

      Comparison and addition

      +

      Comparison and addition

      @@ -1146,7 +1146,7 @@

      Library Stdlib.ZArith.BinInt

      -

      testbit in terms of comparison.

      +

      testbit in terms of comparison.

      diff --git a/master/stdlib/Stdlib.ZArith.BinIntDef.html b/master/stdlib/Stdlib.ZArith.BinIntDef.html index f08e2a93f2..d613ac06a7 100644 --- a/master/stdlib/Stdlib.ZArith.BinIntDef.html +++ b/master/stdlib/Stdlib.ZArith.BinIntDef.html @@ -61,7 +61,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Binary Integers, Definitions of Operations

      +

      Binary Integers, Definitions of Operations

      @@ -79,7 +79,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Nicer names Z.pos and Z.neg for constructors

      +

      Nicer names Z.pos and Z.neg for constructors

      @@ -92,7 +92,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Constants

      +

      Constants

      @@ -106,7 +106,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Doubling and variants

      +

      Doubling and variants

      @@ -139,7 +139,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Subtraction of positive into Z

      +

      Subtraction of positive into Z

      @@ -162,7 +162,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Addition

      +

      Addition

      @@ -185,7 +185,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Opposite

      +

      Opposite

      @@ -205,7 +205,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Successor

      +

      Successor

      @@ -217,7 +217,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Predecessor

      +

      Predecessor

      @@ -229,7 +229,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Subtraction

      +

      Subtraction

      @@ -244,7 +244,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Multiplication

      +

      Multiplication

      @@ -267,7 +267,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Power function

      +

      Power function

      @@ -290,7 +290,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Square

      +

      Square

      @@ -307,7 +307,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Comparison

      +

      Comparison

      @@ -333,7 +333,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Sign function

      +

      Sign function

      @@ -412,7 +412,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Minimum and maximum

      +

      Minimum and maximum

      @@ -435,7 +435,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Absolute value

      +

      Absolute value

      @@ -452,7 +452,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Conversions

      +

      Conversions

      @@ -627,7 +627,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Iteration of a function

      +

      Iteration of a function

      @@ -648,7 +648,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Euclidean divisions for binary integers

      +

      Euclidean divisions for binary integers

      @@ -663,7 +663,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Floor division

      +

      Floor division

      @@ -758,7 +758,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Trunc Division

      +

      Trunc Division

      @@ -819,7 +819,7 @@

      Library Stdlib.ZArith.BinIntDef

      No infix notation for rem, otherwise it becomes a keyword
      -

      Parity functions

      +

      Parity functions

      @@ -846,7 +846,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Division by two

      +

      Division by two

      @@ -892,7 +892,7 @@

      Library Stdlib.ZArith.BinIntDef

      NB: Z.quot2 used to be named Z.div2 in Coq <= 8.3
      -

      Base-2 logarithm

      +

      Base-2 logarithm

      @@ -909,7 +909,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Square root

      +

      Square root

      @@ -937,7 +937,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Greatest Common Divisor

      +

      Greatest Common Divisor

      @@ -980,7 +980,7 @@

      Library Stdlib.ZArith.BinIntDef

      -

      Bitwise functions

      +

      Bitwise functions

      diff --git a/master/stdlib/Stdlib.ZArith.Int.html b/master/stdlib/Stdlib.ZArith.Int.html index f98c84a4aa..2d21e20869 100644 --- a/master/stdlib/Stdlib.ZArith.Int.html +++ b/master/stdlib/Stdlib.ZArith.Int.html @@ -49,7 +49,7 @@

      Library Stdlib.ZArith.Int

      -

      An light axiomatization of integers (used in MSetAVL).

      +

      An light axiomatization of integers (used in MSetAVL).

      @@ -74,7 +74,7 @@

      Library Stdlib.ZArith.Int

      -

      A specification of integers

      +

      A specification of integers

      @@ -210,7 +210,7 @@

      Library Stdlib.ZArith.Int

      -

      Facts and tactics using Int

      +

      Facts and tactics using Int

      @@ -564,7 +564,7 @@

      Library Stdlib.ZArith.Int

      -

      An implementation of Int

      +

      An implementation of Int

      diff --git a/master/stdlib/Stdlib.ZArith.ZArith_dec.html b/master/stdlib/Stdlib.ZArith.ZArith_dec.html index 753e709acd..7605d48beb 100644 --- a/master/stdlib/Stdlib.ZArith.ZArith_dec.html +++ b/master/stdlib/Stdlib.ZArith.ZArith_dec.html @@ -74,7 +74,7 @@

      Library Stdlib.ZArith.ZArith_dec

      -

      Decidability of order on binary integers

      +

      Decidability of order on binary integers

      @@ -116,7 +116,7 @@

      Library Stdlib.ZArith.ZArith_dec

      -

      Cotransitivity of order on binary integers

      +

      Cotransitivity of order on binary integers

      diff --git a/master/stdlib/Stdlib.ZArith.Zabs.html b/master/stdlib/Stdlib.ZArith.Zabs.html index c53d835d50..8cbd850857 100644 --- a/master/stdlib/Stdlib.ZArith.Zabs.html +++ b/master/stdlib/Stdlib.ZArith.Zabs.html @@ -74,7 +74,7 @@

      Library Stdlib.ZArith.Zabs

      -

      Properties of absolute value

      +

      Properties of absolute value

      @@ -92,7 +92,7 @@

      Library Stdlib.ZArith.Zabs

      -

      Proving a property of the absolute value by cases

      +

      Proving a property of the absolute value by cases

      @@ -117,7 +117,7 @@

      Library Stdlib.ZArith.Zabs

      -

      Some results about the sign function.

      +

      Some results about the sign function.

      diff --git a/master/stdlib/Stdlib.ZArith.Zbitwise.html b/master/stdlib/Stdlib.ZArith.Zbitwise.html index 84ebbdee22..9a476c2c29 100644 --- a/master/stdlib/Stdlib.ZArith.Zbitwise.html +++ b/master/stdlib/Stdlib.ZArith.Zbitwise.html @@ -152,13 +152,13 @@

      Library Stdlib.ZArith.Zbitwise

      Explicit formulas for carry bits during addition. Conceptually, the theory -

      here matches the bitblasting rules for integers. However, the vector of

      +

      here matches the bitblasting rules for integers. However, the vector of

      -

      carry bits is represented as a Z so it can be used in bitwise operations.

      +

      carry bits is represented as a Z so it can be used in bitwise operations.

      -

      The last three lemmas about addcarries are the main interface, but the

      +

      The last three lemmas about addcarries are the main interface, but the

      -

      generalization adccarries is provided as the same theory applies.

      +

      generalization adccarries is provided as the same theory applies.

      diff --git a/master/stdlib/Stdlib.ZArith.Zbool.html b/master/stdlib/Stdlib.ZArith.Zbool.html index 391f85bc80..b3f9e6d1bf 100644 --- a/master/stdlib/Stdlib.ZArith.Zbool.html +++ b/master/stdlib/Stdlib.ZArith.Zbool.html @@ -60,7 +60,7 @@

      Library Stdlib.ZArith.Zbool

      -

      Boolean operations from decidability of order

      +

      Boolean operations from decidability of order

      The decidability of equality and order relations over type Z gives some boolean functions with the adequate specification.
      @@ -85,7 +85,7 @@

      Library Stdlib.ZArith.Zbool

      -

      Boolean comparisons of binary integers

      +

      Boolean comparisons of binary integers

      diff --git a/master/stdlib/Stdlib.ZArith.Zcompare.html b/master/stdlib/Stdlib.ZArith.Zcompare.html index 749673baeb..d557491763 100644 --- a/master/stdlib/Stdlib.ZArith.Zcompare.html +++ b/master/stdlib/Stdlib.ZArith.Zcompare.html @@ -68,7 +68,7 @@

      Library Stdlib.ZArith.Zcompare

      -

      Comparison on integers

      +

      Comparison on integers

      @@ -83,7 +83,7 @@

      Library Stdlib.ZArith.Zcompare

      -

      Transitivity of comparison

      +

      Transitivity of comparison

      @@ -100,7 +100,7 @@

      Library Stdlib.ZArith.Zcompare

      -

      Comparison and opposite

      +

      Comparison and opposite

      @@ -112,7 +112,7 @@

      Library Stdlib.ZArith.Zcompare

      -

      Comparison first-order specification

      +

      Comparison first-order specification

      @@ -124,7 +124,7 @@

      Library Stdlib.ZArith.Zcompare

      -

      Comparison and addition

      +

      Comparison and addition

      @@ -146,7 +146,7 @@

      Library Stdlib.ZArith.Zcompare

      -

      Successor and comparison

      +

      Successor and comparison

      @@ -158,7 +158,7 @@

      Library Stdlib.ZArith.Zcompare

      -

      Multiplication and comparison

      +

      Multiplication and comparison

      @@ -179,7 +179,7 @@

      Library Stdlib.ZArith.Zcompare

      -

      Relating x ?= y to =, <=, <, >= or >

      +

      Relating x ?= y to =, <=, <, >= or >

      diff --git a/master/stdlib/Stdlib.ZArith.Zdiv.html b/master/stdlib/Stdlib.ZArith.Zdiv.html index 30d9d281ca..88589b7763 100644 --- a/master/stdlib/Stdlib.ZArith.Zdiv.html +++ b/master/stdlib/Stdlib.ZArith.Zdiv.html @@ -49,7 +49,7 @@

      Library Stdlib.ZArith.Zdiv

      -

      Euclidean Division

      +

      Euclidean Division

      @@ -89,7 +89,7 @@

      Library Stdlib.ZArith.Zdiv

      -

      Main division theorems

      +

      Main division theorems

      @@ -238,7 +238,7 @@

      Library Stdlib.ZArith.Zdiv

      -

      Basic values of divisions and modulo.

      +

      Basic values of divisions and modulo.

      @@ -294,7 +294,7 @@

      Library Stdlib.ZArith.Zdiv

      -

      Order results about Z.modulo and Z.div

      +

      Order results about Z.modulo and Z.div

      @@ -452,7 +452,7 @@

      Library Stdlib.ZArith.Zdiv

      -

      Relations between usual operations and Z.modulo and Z.div

      +

      Relations between usual operations and Z.modulo and Z.div

      @@ -691,7 +691,7 @@

      Library Stdlib.ZArith.Zdiv

      -

      Compatibility

      +

      Compatibility

      @@ -727,7 +727,7 @@

      Library Stdlib.ZArith.Zdiv

      -

      A direct way to compute Z.modulo

      +

      A direct way to compute Z.modulo

      @@ -779,9 +779,9 @@

      Library Stdlib.ZArith.Zdiv

      Another convention is possible for division by negative numbers: -

      quotient is always the biggest integer smaller than or equal to a/b

      +

      quotient is always the biggest integer smaller than or equal to a/b

      -

      remainder is hence always positive or null.

      +

      remainder is hence always positive or null.

      diff --git a/master/stdlib/Stdlib.ZArith.Zeuclid.html b/master/stdlib/Stdlib.ZArith.Zeuclid.html index 80d2c2bd8b..c3064ca1dd 100644 --- a/master/stdlib/Stdlib.ZArith.Zeuclid.html +++ b/master/stdlib/Stdlib.ZArith.Zeuclid.html @@ -63,7 +63,7 @@

      Library Stdlib.ZArith.Zeuclid

      -

      Definitions of division for binary integers, Euclid convention.

      +

      Definitions of division for binary integers, Euclid convention.

      diff --git a/master/stdlib/Stdlib.ZArith.Zeven.html b/master/stdlib/Stdlib.ZArith.Zeven.html index 170c63edbd..9f4268d1fc 100644 --- a/master/stdlib/Stdlib.ZArith.Zeven.html +++ b/master/stdlib/Stdlib.ZArith.Zeven.html @@ -176,7 +176,7 @@

      Library Stdlib.ZArith.Zeven

      -

      Definition of Z.quot2, Z.div2 and properties wrt Zeven

      +

      Definition of Z.quot2, Z.div2 and properties wrt Zeven

      and Zodd
      diff --git a/master/stdlib/Stdlib.ZArith.Zgcd_alt.html b/master/stdlib/Stdlib.ZArith.Zgcd_alt.html index de7b24d142..16dfc51ac9 100644 --- a/master/stdlib/Stdlib.ZArith.Zgcd_alt.html +++ b/master/stdlib/Stdlib.ZArith.Zgcd_alt.html @@ -49,7 +49,7 @@

      Library Stdlib.ZArith.Zgcd_alt

      -

      Zgcd_alt : an alternate version of Z.gcd, based on Euclid's algorithm

      +

      Zgcd_alt : an alternate version of Z.gcd, based on Euclid's algorithm

      diff --git a/master/stdlib/Stdlib.ZArith.Zhints.html b/master/stdlib/Stdlib.ZArith.Zhints.html index feea71be22..681c317c44 100644 --- a/master/stdlib/Stdlib.ZArith.Zhints.html +++ b/master/stdlib/Stdlib.ZArith.Zhints.html @@ -102,7 +102,7 @@

      Library Stdlib.ZArith.Zhints

      -

      Simplification lemmas

      +

      Simplification lemmas

      @@ -116,7 +116,7 @@

      Library Stdlib.ZArith.Zhints

        
      -

      Reversible simplification lemmas (no loss of information)

      +

      Reversible simplification lemmas (no loss of information)

      Should clearly be declared as hints
      @@ -171,7 +171,7 @@

      Library Stdlib.ZArith.Zhints

        
      -

      Irreversible simplification lemmas

      +

      Irreversible simplification lemmas

      Probably to be declared as hints, when no other simplification is possible
      diff --git a/master/stdlib/Stdlib.ZArith.Znat.html b/master/stdlib/Stdlib.ZArith.Znat.html index 5735e78b1d..0987053f0e 100644 --- a/master/stdlib/Stdlib.ZArith.Znat.html +++ b/master/stdlib/Stdlib.ZArith.Znat.html @@ -95,7 +95,7 @@

      Library Stdlib.ZArith.Znat

      -

      Chains of conversions

      +

      Chains of conversions

      @@ -148,7 +148,7 @@

      Library Stdlib.ZArith.Znat

      -

      Conversions between Z and N

      +

      Conversions between Z and N

      @@ -552,7 +552,7 @@

      Library Stdlib.ZArith.Znat

      -

      Conversions between Z and nat

      +

      Conversions between Z and nat

      diff --git a/master/stdlib/Stdlib.ZArith.Znumtheory.html b/master/stdlib/Stdlib.ZArith.Znumtheory.html index 3378ff0a23..54bed36175 100644 --- a/master/stdlib/Stdlib.ZArith.Znumtheory.html +++ b/master/stdlib/Stdlib.ZArith.Znumtheory.html @@ -245,7 +245,7 @@

      Library Stdlib.ZArith.Znumtheory

      -

      Greatest common divisor (gcd).

      +

      Greatest common divisor (gcd).

      @@ -307,7 +307,7 @@

      Library Stdlib.ZArith.Znumtheory

      -

      Extended Euclid algorithm.

      +

      Extended Euclid algorithm.

      @@ -395,7 +395,7 @@

      Library Stdlib.ZArith.Znumtheory

      -

      Bezout's coefficients

      +

      Bezout's coefficients

      @@ -431,7 +431,7 @@

      Library Stdlib.ZArith.Znumtheory

      -

      Relative primality

      +

      Relative primality

      @@ -525,7 +525,7 @@

      Library Stdlib.ZArith.Znumtheory

      -

      Primality

      +

      Primality

      diff --git a/master/stdlib/Stdlib.ZArith.Zorder.html b/master/stdlib/Stdlib.ZArith.Zorder.html index 27f6b17e0c..8256f7e3fe 100644 --- a/master/stdlib/Stdlib.ZArith.Zorder.html +++ b/master/stdlib/Stdlib.ZArith.Zorder.html @@ -71,7 +71,7 @@

      Library Stdlib.ZArith.Zorder

      Properties of the order relations on binary integers
      -

      Trichotomy

      +

      Trichotomy

      @@ -86,7 +86,7 @@

      Library Stdlib.ZArith.Zorder

      -

      Decidability of equality and order on Z

      +

      Decidability of equality and order on Z

      @@ -112,7 +112,7 @@

      Library Stdlib.ZArith.Zorder

      -

      Relating strict and large orders

      +

      Relating strict and large orders

      @@ -152,7 +152,7 @@

      Library Stdlib.ZArith.Zorder

      -

      Equivalence and order properties

      +

      Equivalence and order properties

      @@ -276,11 +276,11 @@

      Library Stdlib.ZArith.Zorder

      -

      Compatibility of order and operations on Z

      +

      Compatibility of order and operations on Z

      -

      Successor

      +

      Successor

      @@ -458,7 +458,7 @@

      Library Stdlib.ZArith.Zorder

      -

      Addition

      +

      Addition

      Compatibility of addition wrt to order
      @@ -528,7 +528,7 @@

      Library Stdlib.ZArith.Zorder

      -

      Multiplication

      +

      Multiplication

      Compatibility of multiplication by a positive wrt to order
      @@ -656,7 +656,7 @@

      Library Stdlib.ZArith.Zorder

      -

      Square

      +

      Square

      Simplification of square wrt order
      @@ -671,7 +671,7 @@

      Library Stdlib.ZArith.Zorder

      -

      Equivalence between inequalities

      +

      Equivalence between inequalities

      diff --git a/master/stdlib/Stdlib.ZArith.Zpow_def.html b/master/stdlib/Stdlib.ZArith.Zpow_def.html index 64116ec0d6..a467567a9e 100644 --- a/master/stdlib/Stdlib.ZArith.Zpow_def.html +++ b/master/stdlib/Stdlib.ZArith.Zpow_def.html @@ -53,7 +53,7 @@

      Library Stdlib.ZArith.Zpow_def

      -

      Power functions over Z

      +

      Power functions over Z

      diff --git a/master/stdlib/Stdlib.ZArith.Zpow_facts.html b/master/stdlib/Stdlib.ZArith.Zpow_facts.html index dcb6658e9a..96b57e7a07 100644 --- a/master/stdlib/Stdlib.ZArith.Zpow_facts.html +++ b/master/stdlib/Stdlib.ZArith.Zpow_facts.html @@ -132,7 +132,7 @@

      Library Stdlib.ZArith.Zpow_facts

      -

      Z.pow and modulo

      +

      Z.pow and modulo

      @@ -208,7 +208,7 @@

      Library Stdlib.ZArith.Zpow_facts

      -

      Z.square: a direct definition of z^2

      +

      Z.square: a direct definition of z^2

      diff --git a/master/stdlib/Stdlib.ZArith.Zpower.html b/master/stdlib/Stdlib.ZArith.Zpower.html index 5f55795bd9..e7eec2e0b1 100644 --- a/master/stdlib/Stdlib.ZArith.Zpower.html +++ b/master/stdlib/Stdlib.ZArith.Zpower.html @@ -54,7 +54,7 @@

      Library Stdlib.ZArith.Zpower

      -

      Power functions over Z

      +

      Power functions over Z

      @@ -154,7 +154,7 @@

      Library Stdlib.ZArith.Zpower

      -

      Powers of 2

      +

      Powers of 2

      @@ -283,7 +283,7 @@

      Library Stdlib.ZArith.Zpower

      -

      Division by a power of two.

      +

      Division by a power of two.

      diff --git a/master/stdlib/Stdlib.ZArith.Zquot.html b/master/stdlib/Stdlib.ZArith.Zquot.html index 597193ec5b..2ef5e49a53 100644 --- a/master/stdlib/Stdlib.ZArith.Zquot.html +++ b/master/stdlib/Stdlib.ZArith.Zquot.html @@ -153,7 +153,7 @@

      Library Stdlib.ZArith.Zquot

      -

      Division and Opposite

      +

      Division and Opposite

      @@ -232,7 +232,7 @@

      Library Stdlib.ZArith.Zquot

      -

      Unicity results

      +

      Unicity results

      @@ -265,7 +265,7 @@

      Library Stdlib.ZArith.Zquot

      -

      Order results about Zrem and Zquot

      +

      Order results about Zrem and Zquot

      @@ -363,7 +363,7 @@

      Library Stdlib.ZArith.Zquot

      -

      Relations between usual operations and Z.modulo and Z.div

      +

      Relations between usual operations and Z.modulo and Z.div

      @@ -527,7 +527,7 @@

      Library Stdlib.ZArith.Zquot

      -

      Interaction with "historic" Zdiv

      +

      Interaction with "historic" Zdiv

      diff --git a/master/stdlib/Stdlib.ZArith.auxiliary.html b/master/stdlib/Stdlib.ZArith.auxiliary.html index cbb62e6fef..8394ab43e5 100644 --- a/master/stdlib/Stdlib.ZArith.auxiliary.html +++ b/master/stdlib/Stdlib.ZArith.auxiliary.html @@ -68,7 +68,7 @@

      Library Stdlib.ZArith.auxiliary

      -

      Moving terms from one side to the other of an inequality

      +

      Moving terms from one side to the other of an inequality

      diff --git a/master/stdlib/Stdlib.btauto.Algebra.html b/master/stdlib/Stdlib.btauto.Algebra.html index ed272b75ac..4806d3c624 100644 --- a/master/stdlib/Stdlib.btauto.Algebra.html +++ b/master/stdlib/Stdlib.btauto.Algebra.html @@ -144,7 +144,7 @@

      Library Stdlib.btauto.Algebra

      -

      Global, inductive definitions.

      +

      Global, inductive definitions.

      @@ -217,7 +217,7 @@

      Library Stdlib.btauto.Algebra

      -

      The core reflexive part.

      +

      The core reflexive part.

      diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html index a164042f25..aedbc70272 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html @@ -62,11 +62,11 @@

      Library Stdlib.extraction.ExtrHaskellNatInt

      -

      Disclaimer: trying to obtain efficient certified programs

      +

      Disclaimer: trying to obtain efficient certified programs

      -

      by extracting nat into Int is definitively *not* a good idea.

      +

      by extracting nat into Int is definitively *not* a good idea.

      -

      See comments in ExtrOcamlNatInt.v.

      +

      See comments in ExtrOcamlNatInt.v.

      diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html index 6dd4be2095..1aaaac09f0 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html @@ -62,11 +62,11 @@

      Library Stdlib.extraction.ExtrHaskellNatInteger

      -

      Disclaimer: trying to obtain efficient certified programs

      +

      Disclaimer: trying to obtain efficient certified programs

      -

      by extracting nat into Integer isn't necessarily a good idea.

      +

      by extracting nat into Integer isn't necessarily a good idea.

      -

      See comments in ExtrOcamlNatInt.v.

      +

      See comments in ExtrOcamlNatInt.v.

      diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html index c534ab6937..67e640ec1d 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html @@ -47,15 +47,15 @@

      Library Stdlib.extraction.ExtrHaskellNatNum

      -

      Efficient (but uncertified) extraction of usual nat functions

      +

      Efficient (but uncertified) extraction of usual nat functions

      -

      into equivalent versions in Haskell's Prelude that are defined

      +

      into equivalent versions in Haskell's Prelude that are defined

      -

      for any Num typeclass instances. Useful in combination with

      +

      for any Num typeclass instances. Useful in combination with

      -

      Extract Inductive nat that maps nat onto a Haskell type that

      +

      Extract Inductive nat that maps nat onto a Haskell type that

      -

      implements Num.

      +

      implements Num.

      diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellString.html b/master/stdlib/Stdlib.extraction.ExtrHaskellString.html index 13fe7eb74d..850f895a9f 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellString.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellString.html @@ -47,7 +47,7 @@

      Library Stdlib.extraction.ExtrHaskellString

      -

      Special handling of ascii and strings for extraction to Haskell.

      +

      Special handling of ascii and strings for extraction to Haskell.

      @@ -68,16 +68,16 @@

      Library Stdlib.extraction.ExtrHaskellString

      -

      At the moment, Coq's extraction has no way to add extra import

      +

      At the moment, Coq's extraction has no way to add extra import

      -

      statements to the extracted Haskell code. You will have to

      +

      statements to the extracted Haskell code. You will have to

      -

      manually add:

      +

      manually add:

      * -

      import qualified Data.Bits

      +

      import qualified Data.Bits

      -

      import qualified Data.Char

      +

      import qualified Data.Char

      diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html b/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html index 822c41bd23..1c0e03d5c3 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html @@ -62,11 +62,11 @@

      Library Stdlib.extraction.ExtrHaskellZInt

      -

      Disclaimer: trying to obtain efficient certified programs

      +

      Disclaimer: trying to obtain efficient certified programs

      -

      by extracting Z into Int is definitively *not* a good idea.

      +

      by extracting Z into Int is definitively *not* a good idea.

      -

      See comments in ExtrOcamlNatInt.v.

      +

      See comments in ExtrOcamlNatInt.v.

      diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html b/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html index f62edc0110..7ab2f3cd97 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html @@ -47,15 +47,15 @@

      Library Stdlib.extraction.ExtrHaskellZNum

      -

      Efficient (but uncertified) extraction of usual Z functions

      +

      Efficient (but uncertified) extraction of usual Z functions

      -

      into equivalent versions in Haskell's Prelude that are defined

      +

      into equivalent versions in Haskell's Prelude that are defined

      -

      for any Num typeclass instances. Useful in combination with

      +

      for any Num typeclass instances. Useful in combination with

      -

      Extract Inductive Z that maps Z onto a Haskell type that

      +

      Extract Inductive Z that maps Z onto a Haskell type that

      -

      implements Num.

      +

      implements Num.

      diff --git a/master/stdlib/Stdlib.omega.PreOmega.html b/master/stdlib/Stdlib.omega.PreOmega.html index 563689352c..bda124fd90 100644 --- a/master/stdlib/Stdlib.omega.PreOmega.html +++ b/master/stdlib/Stdlib.omega.PreOmega.html @@ -55,7 +55,7 @@

      Library Stdlib.omega.PreOmega

      -

      Z.div_mod_to_equations, Z.quot_rem_to_equations, Z.to_euclidean_division_equations:

      +

      Z.div_mod_to_equations, Z.quot_rem_to_equations, Z.to_euclidean_division_equations:

      the tactics for preprocessing Z.div and Z.modulo, Z.quot and Z.rem
      diff --git a/master/stdlib/index_global_B.html b/master/stdlib/index_global_B.html index 90b329ad43..75a664857c 100644 --- a/master/stdlib/index_global_B.html +++ b/master/stdlib/index_global_B.html @@ -1014,8 +1014,8 @@ BVor [definition, in Stdlib.Bool.Bvector]
      BVxor [definition, in Stdlib.Bool.Bvector]
      byte [inductive, in Stdlib.Init.Byte]
      -Byte [library]
      Byte [library]
      +Byte [library]
      ByteNotations [module, in Stdlib.Strings.Byte]
      _ =? _ (byte_scope) [notation, in Stdlib.Strings.Byte]
      ByteSyntaxNotations [module, in Stdlib.Init.Byte]
      diff --git a/master/stdlib/index_library_B.html b/master/stdlib/index_library_B.html index d4a21d2461..0442aa8988 100644 --- a/master/stdlib/index_library_B.html +++ b/master/stdlib/index_library_B.html @@ -545,8 +545,8 @@ Bool_nat
      Btauto
      Bvector
      -Byte
      Byte
      +Byte