Documentation of branch “master” at e2dc7ac2

coq · Dec 13, 2024 · 36c0bf1 · 36c0bf1
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diff --git a/master/refman/.doctrees/addendum/extraction.doctree b/master/refman/.doctrees/addendum/extraction.doctree
diff --git a/master/refman/.doctrees/addendum/generalized-rewriting.doctree b/master/refman/.doctrees/addendum/generalized-rewriting.doctree
diff --git a/master/refman/.doctrees/addendum/implicit-coercions.doctree b/master/refman/.doctrees/addendum/implicit-coercions.doctree
diff --git a/master/refman/.doctrees/addendum/micromega.doctree b/master/refman/.doctrees/addendum/micromega.doctree
diff --git a/master/refman/.doctrees/addendum/miscellaneous-extensions.doctree b/master/refman/.doctrees/addendum/miscellaneous-extensions.doctree
diff --git a/master/refman/.doctrees/addendum/program.doctree b/master/refman/.doctrees/addendum/program.doctree
diff --git a/master/refman/.doctrees/addendum/rewrite-rules.doctree b/master/refman/.doctrees/addendum/rewrite-rules.doctree
diff --git a/master/refman/.doctrees/addendum/ring.doctree b/master/refman/.doctrees/addendum/ring.doctree
diff --git a/master/refman/.doctrees/addendum/sprop.doctree b/master/refman/.doctrees/addendum/sprop.doctree
diff --git a/master/refman/.doctrees/addendum/type-classes.doctree b/master/refman/.doctrees/addendum/type-classes.doctree
diff --git a/master/refman/.doctrees/addendum/universe-polymorphism.doctree b/master/refman/.doctrees/addendum/universe-polymorphism.doctree
diff --git a/master/refman/.doctrees/changes.doctree b/master/refman/.doctrees/changes.doctree
diff --git a/master/refman/.doctrees/environment.pickle b/master/refman/.doctrees/environment.pickle
diff --git a/master/refman/.doctrees/language/cic.doctree b/master/refman/.doctrees/language/cic.doctree
diff --git a/master/refman/.doctrees/language/coq-library.doctree b/master/refman/.doctrees/language/coq-library.doctree
diff --git a/master/refman/.doctrees/language/core/assumptions.doctree b/master/refman/.doctrees/language/core/assumptions.doctree
diff --git a/master/refman/.doctrees/language/core/basic.doctree b/master/refman/.doctrees/language/core/basic.doctree
diff --git a/master/refman/.doctrees/language/core/coinductive.doctree b/master/refman/.doctrees/language/core/coinductive.doctree
diff --git a/master/refman/.doctrees/language/core/conversion.doctree b/master/refman/.doctrees/language/core/conversion.doctree
diff --git a/master/refman/.doctrees/language/core/inductive.doctree b/master/refman/.doctrees/language/core/inductive.doctree
diff --git a/master/refman/.doctrees/language/core/modules.doctree b/master/refman/.doctrees/language/core/modules.doctree
diff --git a/master/refman/.doctrees/language/core/primitive.doctree b/master/refman/.doctrees/language/core/primitive.doctree
diff --git a/master/refman/.doctrees/language/core/records.doctree b/master/refman/.doctrees/language/core/records.doctree
diff --git a/master/refman/.doctrees/language/core/sections.doctree b/master/refman/.doctrees/language/core/sections.doctree
diff --git a/master/refman/.doctrees/language/core/variants.doctree b/master/refman/.doctrees/language/core/variants.doctree
diff --git a/master/refman/.doctrees/language/extensions/arguments-command.doctree b/master/refman/.doctrees/language/extensions/arguments-command.doctree
diff --git a/master/refman/.doctrees/language/extensions/canonical.doctree b/master/refman/.doctrees/language/extensions/canonical.doctree
diff --git a/master/refman/.doctrees/language/extensions/evars.doctree b/master/refman/.doctrees/language/extensions/evars.doctree
diff --git a/master/refman/.doctrees/language/extensions/implicit-arguments.doctree b/master/refman/.doctrees/language/extensions/implicit-arguments.doctree
diff --git a/master/refman/.doctrees/language/extensions/match.doctree b/master/refman/.doctrees/language/extensions/match.doctree
diff --git a/master/refman/.doctrees/practical-tools/coq-commands.doctree b/master/refman/.doctrees/practical-tools/coq-commands.doctree
diff --git a/master/refman/.doctrees/practical-tools/coqide.doctree b/master/refman/.doctrees/practical-tools/coqide.doctree
diff --git a/master/refman/.doctrees/proof-engine/ltac.doctree b/master/refman/.doctrees/proof-engine/ltac.doctree
diff --git a/master/refman/.doctrees/proof-engine/ltac2.doctree b/master/refman/.doctrees/proof-engine/ltac2.doctree
diff --git a/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree b/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree
diff --git a/master/refman/.doctrees/proof-engine/tactics.doctree b/master/refman/.doctrees/proof-engine/tactics.doctree
diff --git a/master/refman/.doctrees/proof-engine/vernacular-commands.doctree b/master/refman/.doctrees/proof-engine/vernacular-commands.doctree
diff --git a/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree b/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree
diff --git a/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree b/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree
diff --git a/master/refman/.doctrees/proofs/writing-proofs/equality.doctree b/master/refman/.doctrees/proofs/writing-proofs/equality.doctree
diff --git a/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree b/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree
diff --git a/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree b/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree
diff --git a/master/refman/.doctrees/user-extensions/syntax-extensions.doctree b/master/refman/.doctrees/user-extensions/syntax-extensions.doctree
diff --git a/master/refman/.doctrees/using/libraries/funind.doctree b/master/refman/.doctrees/using/libraries/funind.doctree
diff --git a/master/refman/.doctrees/using/libraries/writing.doctree b/master/refman/.doctrees/using/libraries/writing.doctree
diff --git a/master/refman/proof-engine/ltac.html b/master/refman/proof-engine/ltac.html
@@ -4285,44 +4285,44 @@ <h3>Profiling <code class="docutils literal notranslate"><span class="pre">L</sp
 </span></dt><dd><span>No more goals.
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Show</span><span> </span><span class="coqdoc-keyword">Ltac</span><span> </span><span class="coqdoc-var">Profile</span><span>.</span><span>
-</span></dt><dd><span>total time:      0.896s
+</span></dt><dd><span>total time:      0.998s
 
  tactic                                      local  total   calls       max
 ───────────────────────────────────────────┴──────┴──────┴───────┴─────────┘
-─tac --------------------------------------   0.1% 100.0%       1    0.896s
-─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.6%      26    0.067s
-─&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.6%      26    0.067s
-─&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  97.5%      26    0.067s
-─t_tauto_intuit ---------------------------   0.1%  97.4%      26    0.067s
-─&lt;Corelib.Init.Tauto.simplif&gt; -------------  54.1%  93.8%      26    0.065s
-─&lt;Corelib.Init.Tauto.is_conj&gt; -------------  25.6%  25.6%   28756    0.018s
-─intro ------------------------------------   4.9%   4.9%    1300    0.033s
-─&lt;Corelib.Init.Tauto.not_dep_intros&gt; ------   4.7%   4.7%     676    0.038s
-─&lt;Corelib.Init.Tauto.axioms&gt; --------------   2.4%   3.6%       0    0.003s
-─elim id ----------------------------------   3.0%   3.0%     650    0.000s
-─lia --------------------------------------   0.1%   2.1%      28    0.009s
+─tac --------------------------------------   0.1% 100.0%       1    0.998s
+─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.0%      26    0.102s
+─&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  96.9%      26    0.102s
+─&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  96.9%      26    0.102s
+─t_tauto_intuit ---------------------------   0.1%  96.8%      26    0.102s
+─&lt;Corelib.Init.Tauto.simplif&gt; -------------  53.0%  93.4%      26    0.101s
+─&lt;Corelib.Init.Tauto.is_conj&gt; -------------  24.4%  24.4%   28756    0.021s
+─intro ------------------------------------   6.7%   6.7%    1300    0.054s
+─&lt;Corelib.Init.Tauto.not_dep_intros&gt; ------   4.4%   4.4%     676    0.040s
+─&lt;Corelib.Init.Tauto.axioms&gt; --------------   2.3%   3.4%       0    0.003s
+─elim id ----------------------------------   3.3%   3.3%     650    0.000s
+─lia --------------------------------------   0.1%   2.6%      28    0.013s
 
  tactic                                        local  total   calls       max
 ─────────────────────────────────────────────┴──────┴──────┴───────┴─────────┘
-─tac ----------------------------------------   0.1% 100.0%       1    0.896s
- ├─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.6%      26    0.067s
- │└&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.6%      26    0.067s
- │└&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  97.5%      26    0.067s
- │└t_tauto_intuit ---------------------------   0.1%  97.4%      26    0.067s
- │ ├─&lt;Corelib.Init.Tauto.simplif&gt; -----------  54.1%  93.8%      26    0.065s
- │ │ ├─&lt;Corelib.Init.Tauto.is_conj&gt; ---------  25.6%  25.6%   28756    0.018s
- │ │ ├─intro --------------------------------   4.9%   4.9%    1300    0.033s
- │ │ ├─&lt;Corelib.Init.Tauto.not_dep_intros&gt; --   4.7%   4.7%     676    0.038s
- │ │ └─elim id ------------------------------   3.0%   3.0%     650    0.000s
- │ └─&lt;Corelib.Init.Tauto.axioms&gt; ------------   2.4%   3.6%       0    0.003s
- └─lia --------------------------------------   0.1%   2.1%      28    0.009s
+─tac ----------------------------------------   0.1% 100.0%       1    0.998s
+ ├─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.0%      26    0.102s
+ │└&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  96.9%      26    0.102s
+ │└&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  96.9%      26    0.102s
+ │└t_tauto_intuit ---------------------------   0.1%  96.8%      26    0.102s
+ │ ├─&lt;Corelib.Init.Tauto.simplif&gt; -----------  53.0%  93.4%      26    0.101s
+ │ │ ├─&lt;Corelib.Init.Tauto.is_conj&gt; ---------  24.4%  24.4%   28756    0.021s
+ │ │ ├─intro --------------------------------   6.7%   6.7%    1300    0.054s
+ │ │ ├─&lt;Corelib.Init.Tauto.not_dep_intros&gt; --   4.4%   4.4%     676    0.040s
+ │ │ └─elim id ------------------------------   3.3%   3.3%     650    0.000s
+ │ └─&lt;Corelib.Init.Tauto.axioms&gt; ------------   2.3%   3.4%       0    0.003s
+ └─lia --------------------------------------   0.1%   2.6%      28    0.013s
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Show</span><span> </span><span class="coqdoc-keyword">Ltac</span><span> </span><span class="coqdoc-var">Profile</span><span> &quot;lia&quot;.</span><span>
-</span></dt><dd><span>total time:      0.896s
+</span></dt><dd><span>total time:      0.998s
 
  tactic  local  total   calls       max
 ───────┴──────┴──────┴───────┴─────────┘
-─lia --   0.1%   2.1%      28    0.009s
+─lia --   0.1%   2.6%      28    0.013s
 
  tactic  local  total   calls       max
 ───────┴──────┴──────┴───────┴─────────┘

diff --git a/master/refman/proofs/writing-proofs/equality.html b/master/refman/proofs/writing-proofs/equality.html
@@ -2639,15 +2639,15 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
   True
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 8) = </span><span class="coqdoc-var">fact</span><span> 8) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.053 secs (0.033u,0.019s) (successful)
+</span></dt><dd><span>Finished transaction in 0.094 secs (0.049u,0.044s) (successful)
 1 goal
 
   H : id (fact 8)</span><span> =</span><span> fact 8
   ============================
   True
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 9) = </span><span class="coqdoc-var">fact</span><span> 9) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.257 secs (0.257u,0.s) (successful)
+</span></dt><dd><span>Finished transaction in 0.423 secs (0.404u,0.019s) (successful)
 1 goal
 
   H : id (fact 8)</span><span> =</span><span> fact 8
@@ -2675,7 +2675,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
 Timeout!
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 100) = </span><span class="coqdoc-var">fact</span><span> 100) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-var">with_strategy</span><span> -1 [</span><span class="coqdoc-var">id</span><span>] </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0. secs (0.u,0.s) (successful)
+</span></dt><dd><span>Finished transaction in 0.001 secs (0.001u,0.s) (successful)
 1 goal
 
   H : id (fact 100)</span><span> =</span><span> fact 100
@@ -2710,7 +2710,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
   True
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 100) = </span><span class="coqdoc-var">fact</span><span> 100) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-var">with_strategy</span><span> -1 [</span><span class="coqdoc-var">id</span><span>] </span><span class="coqdoc-tactic">abstract</span><span> </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.001 secs (0.001u,0.s) (successful)
+</span></dt><dd><span>Finished transaction in 0.002 secs (0.002u,0.s) (successful)
 1 goal
 
   H : id (fact 100)</span><span> =</span><span> fact 100

diff --git a/master/refman/searchindex.js b/master/refman/searchindex.js