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| <div id="content" tabindex="-1" onblur="document.getElementById('content').focus()"> | ||
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| <h1 class="libtitle">ExtLib.Core.Any</h1> | ||
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| <span class="id" title="keyword">Set Implicit Arguments</span>.<br/> | ||
| <span class="id" title="keyword">Set</span> <span class="id" title="keyword">Strict</span> <span class="id" title="keyword">Implicit</span>.<br/> | ||
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| <div class="doc"> | ||
| This class should be used when no requirements are needed | ||
| </div> | ||
| <div class="code"> | ||
| <span class="id" title="var">Polymorphic</span> <span class="id" title="keyword">Class</span> <a name="Any"><span class="id" title="record">Any</span></a> (<span class="id" title="var">T</span> : <span class="id" title="keyword">Type</span>) : <span class="id" title="keyword">Type</span>.<br/> | ||
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| <br/> | ||
| <span class="id" title="keyword">Global</span> <span class="id" title="var">Polymorphic</span> <span class="id" title="keyword">Instance</span> <a name="Any_a"><span class="id" title="instance">Any_a</span></a> (<span class="id" title="var">T</span> : <span class="id" title="keyword">Type</span>) : <a class="idref" href="ExtLib.Core.Any.html#Any"><span class="id" title="class">Any</span></a> <a class="idref" href="ExtLib.Core.Any.html#T"><span class="id" title="variable">T</span></a> := {}.<br/> | ||
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| <span class="id" title="var">Polymorphic</span> <span class="id" title="keyword">Definition</span> <a name="RESOLVE"><span class="id" title="definition">RESOLVE</span></a> (<span class="id" title="var">T</span> : <span class="id" title="keyword">Type</span>) : <span class="id" title="keyword">Type</span> := <a class="idref" href="ExtLib.Core.Any.html#T"><span class="id" title="variable">T</span></a>.<br/> | ||
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| <br/> | ||
| <span class="id" title="var">Existing</span> <span class="id" title="keyword">Class</span> <span class="id" title="var">RESOLVE</span>.<br/> | ||
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| <span class="id" title="keyword">Hint Extern</span> 0 (<a class="idref" href="ExtLib.Core.Any.html#RESOLVE"><span class="id" title="class">RESOLVE</span></a> <span class="id" title="var">_</span>) ⇒ <span class="id" title="tactic">unfold</span> <a class="idref" href="ExtLib.Core.Any.html#RESOLVE"><span class="id" title="class">RESOLVE</span></a> : <span class="id" title="var">typeclass_instances</span>.<br/> | ||
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| <div id="header"> | ||
| <span class="left"> | ||
| <span class="modulename"> <script> document.write(document.title) </script> </span> | ||
| </span> | ||
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| <span class="button" id="toggle-proofs"></span> | ||
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| <span class="right"> | ||
| <a href="../">Project Page</a> | ||
| <a href="./"> Index </a> | ||
| <a href="./toc.html"> Table of Contents </a> | ||
| </span> | ||
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| <div id="content" tabindex="-1" onblur="document.getElementById('content').focus()"> | ||
| <div id="main"> | ||
| <h1 class="libtitle">ExtLib.Core.EquivDec</h1> | ||
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| <div class="code"> | ||
| <span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Classes.EquivDec.html#"><span class="id" title="library">Coq.Classes.EquivDec</span></a>.<br/> | ||
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| <span class="id" title="keyword">Theorem</span> <a name="EquivDec_refl_left"><span class="id" title="lemma">EquivDec_refl_left</span></a> {<span class="id" title="var">T</span> : <span class="id" title="keyword">Type</span>} {<span class="id" title="var">c</span> : <a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Classes.EquivDec.html#EqDec"><span class="id" title="class">EqDec</span></a> <a class="idref" href="ExtLib.Core.EquivDec.html#T"><span class="id" title="variable">T</span></a> (@<a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Init.Logic.html#eq"><span class="id" title="inductive">eq</span></a> <a class="idref" href="ExtLib.Core.EquivDec.html#T"><span class="id" title="variable">T</span></a>)} :<br/> | ||
| <span class="id" title="keyword">∀</span> (<span class="id" title="var">n</span> : <a class="idref" href="ExtLib.Core.EquivDec.html#T"><span class="id" title="variable">T</span></a>), <a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Classes.EquivDec.html#equiv_dec"><span class="id" title="definition">equiv_dec</span></a> <a class="idref" href="ExtLib.Core.EquivDec.html#n"><span class="id" title="variable">n</span></a> <a class="idref" href="ExtLib.Core.EquivDec.html#n"><span class="id" title="variable">n</span></a> <a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Init.Logic.html#6cd0f7b28b6092304087c7049437bb1a"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Init.Specif.html#left"><span class="id" title="constructor">left</span></a> (<a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Init.Logic.html#refl_equal"><span class="id" title="abbreviation">refl_equal</span></a> <span class="id" title="var">_</span>).<br/> | ||
| <span class="id" title="keyword">Proof</span>.<br/> | ||
| <span class="id" title="tactic">intros</span>. <span class="id" title="tactic">destruct</span> (<a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Classes.EquivDec.html#equiv_dec"><span class="id" title="definition">equiv_dec</span></a> <span class="id" title="var">n</span> <span class="id" title="var">n</span>); <span class="id" title="tactic">try</span> <span class="id" title="tactic">congruence</span>.<br/> | ||
| <span class="id" title="keyword">Require</span> <a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Logic.Eqdep_dec.html#"><span class="id" title="library">Eqdep_dec</span></a>.<br/> | ||
| <span class="id" title="tactic">rewrite</span> (<a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Logic.Eqdep_dec.html#UIP_dec"><span class="id" title="lemma">Eqdep_dec.UIP_dec</span></a> (<span class="id" title="var">A</span> := <span class="id" title="var">T</span>) (@<a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Classes.EquivDec.html#equiv_dec"><span class="id" title="definition">equiv_dec</span></a> <span class="id" title="var">_</span> <span class="id" title="var">_</span> <span class="id" title="var">_</span> <span class="id" title="var">c</span>) <span class="id" title="var">e</span> (<a class="idref" href="http://coq.inria.fr/distrib/V8.10.0/stdlib//Coq.Init.Logic.html#refl_equal"><span class="id" title="abbreviation">refl_equal</span></a> <span class="id" title="var">_</span>)).<br/> | ||
| <span class="id" title="tactic">reflexivity</span>.<br/> | ||
| <span class="id" title="keyword">Qed</span>.<br/> | ||
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| <span class="id" title="keyword">Export</span> <span class="id" title="var">Coq.Classes.EquivDec</span>.<br/> | ||
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