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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: HEYTING2:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">C</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">K</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="substlat.html#K1" title="SUBSTLAT:func.1">SubstitutionSet</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">C</font>) holds   <a href="lattice2.html#K2" title="LATTICE2:func.2">FinJoin</a> (<font color="Olive" title="b3">K</font>,<span class="p1">(<span class="default"><a href="heyting2.html#K8" title="HEYTING2:func.8">Atom</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">C</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="setwiseo.html#K10" title="SETWISEO:func.10">FinUnion</a> (<font color="Olive" title="b3">K</font>,<span class="p1">(<span class="default"><a href="setwiseo.html#K11" title="SETWISEO:func.11">singleton</a> <span class="p2">(<span class="default"><a href="partfun1.html#K4" title="PARTFUN1:func.4">PFuncs</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">C</font>)</span>)</span></span>)</span>)</div></div>
