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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: HEYTING3:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">V9</font>, <font color="Olive" title="b3">C</font>, <font color="Olive" title="b4">C9</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b5">A</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="partfun1.html#K4" title="PARTFUN1:func.4">PFuncs</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b3">C</font>)</span>)</span><br/>  for <font color="Olive" title="b6">B</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="partfun1.html#K4" title="PARTFUN1:func.4">PFuncs</a> (<font color="Olive" title="b2">V9</font>,<font color="Olive" title="b4">C9</font>)</span>)</span>  st <font color="Olive" title="b1">V</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">V9</font> &amp; <font color="Olive" title="b3">C</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">C9</font> &amp; <font color="Olive" title="b5">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">B</font> holds <br/> <a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <font color="Olive" title="b5">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <font color="Olive" title="b6">B</font></div></div>
