<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T28"><span class="comment"><font color="firebrick">:: HEYTING2:28</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">u</font>, <font color="Olive" title="b4">v</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="substlat.html#K5" title="SUBSTLAT:func.5">SubstLatt</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">C</font>)</span>)</span> holds  <font color="Olive" title="b3">u</font> <a href="filter_0.html#K4" title="FILTER_0:func.4">=&gt;</a> <font color="Olive" title="b4">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice2.html#K2" title="LATTICE2:func.2">FinJoin</a> (<span class="p1">(<span class="default"><a href="heyting2.html#K6" title="HEYTING2:func.6">SUB</a> <font color="Olive" title="b3">u</font></span>)</span>,<span class="p1">(<span class="default"> the <a href="lattices.html#U1" title="LATTICES:sel.1">L_meet</a> of <span class="p2">(<span class="default"><a href="substlat.html#K5" title="SUBSTLAT:func.5">SubstLatt</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">C</font>)</span>)</span> <a href="funcop_1.html#K6" title="FUNCOP_1:func.6">.:</a> (<span class="p2">(<span class="default"><a href="heyting2.html#K4" title="HEYTING2:func.4">pseudo_compl</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">C</font>)</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="heyting2.html#K5" title="HEYTING2:func.5">StrongImpl</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">C</font>)</span>)</span> <a href="funcop_1.html#K9" title="FUNCOP_1:func.9">[:]</a> (<span class="p3">(<span class="default"><a href="heyting2.html#K7" title="HEYTING2:func.7">diff</a> <font color="Olive" title="b3">u</font></span>)</span>,<font color="Olive" title="b4">v</font>)</span>)</span>)</span>)</span>)</div></div>
