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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E36">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: ZF_FUND1:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="classes2.html#NM1" title="CLASSES2:NM.1">Universe</a><br/>  for <font color="Olive" title="b2">X</font> being   <a href="zf_refle.html#NM1" title="ZF_REFLE:NM.1">Subclass</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">E</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b2">X</font> is  <a href="zf_fund1.html#V8" title="ZF_FUND1:attr.8">closed_wrt_A1-A7</a>  &amp; <font color="Olive" title="b3">E</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> holds <br/> for <font color="Olive" title="b4">v1</font>, <font color="Olive" title="b5">v2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="zf_lang.html#K1" title="ZF_LANG:func.1">VAR</a>  holds <br/> (  <a href="zf_fund1.html#K5" title="ZF_FUND1:func.5">Diagram</a> (<span class="p1">(<span class="default"><font color="Olive" title="b4">v1</font> <a href="zf_lang.html#K3" title="ZF_LANG:func.3">'='</a> <font color="Olive" title="b5">v2</font></span>)</span>,<font color="Olive" title="b3">E</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> &amp;  <a href="zf_fund1.html#K5" title="ZF_FUND1:func.5">Diagram</a> (<span class="p1">(<span class="default"><font color="Olive" title="b4">v1</font> <a href="zf_lang.html#K4" title="ZF_LANG:func.4">'in'</a> <font color="Olive" title="b5">v2</font></span>)</span>,<font color="Olive" title="b3">E</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> )</div></div>
