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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E17">Th17</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: HEYTING2:17</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> 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><br/>  for <font color="Olive" title="b4">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b4">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">u</font> holds <br/><font color="Olive" title="b4">X</font> is   <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></div></div>
