<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="heyting1.html#K7" title="HEYTING1:func.7">=&gt;&gt;</a> <a onclick="hs(this)" href="javascript:()">HEYTING1:def 7 : <br/></a><span> for <font color="Olive" title="b1">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">B</font>, <font color="Olive" title="b3">C</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="finsub_1.html#K5" title="FINSUB_1:func.5">Fin</a> <span class="p1">(<span class="default"><a href="normform.html#K7" title="NORMFORM:func.7">DISJOINT_PAIRS</a> <font color="Olive" title="b1">A</font></span>)</span> holds  <font color="Olive" title="b2">B</font> <a href="heyting1.html#K7" title="HEYTING1:func.7">=&gt;&gt;</a> <font color="Olive" title="b3">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="normform.html#K7" title="NORMFORM:func.7">DISJOINT_PAIRS</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="subset_1.html#K8" title="SUBSET_1:func.8">/\</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><a href="normform.html#K6" title="NORMFORM:func.6">FinPairUnion</a> (<font color="Olive" title="b2">B</font>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="heyting1.html#K5" title="HEYTING1:func.5">pair_diff</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="funcop_1.html#K6" title="FUNCOP_1:func.6">.:</a> (<font color="Olive" title="b4">f</font>,<span class="p4">(<span class="default"><a href="funct_3.html#K6" title="FUNCT_3:func.6">incl</a> <span class="p5">(<span class="default"><a href="normform.html#K7" title="NORMFORM:func.7">DISJOINT_PAIRS</a> <font color="Olive" title="b1">A</font></span>)</span></span>)</span>)</span>)</span>)</span>)</span> where <font color="Olive" title="b4">f</font> is    <a href="funct_2.html#M2" title="FUNCT_2:mode.2">Element</a> of  <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<span class="p1">(<span class="default"><a href="normform.html#K7" title="NORMFORM:func.7">DISJOINT_PAIRS</a> <font color="Olive" title="b1">A</font></span>)</span>,<span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="finsub_1.html#K5" title="FINSUB_1:func.5">Fin</a> <font color="Olive" title="b1">A</font></span>)</span>,<span class="p2">(<span class="default"><a href="finsub_1.html#K5" title="FINSUB_1:func.5">Fin</a> <font color="Olive" title="b1">A</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>) : <font color="Olive" title="b4">f</font> <a href="setwiseo.html#K8" title="SETWISEO:func.8">.:</a> <font color="Olive" title="b2">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">C</font> </span> } </span> ;<br/></span></div>
