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<div>:: <span class="kw">deftheorem </span>   defines <a href="zf_fund1.html#V1" title="ZF_FUND1:attr.1">closed_wrt_A1</a> <a onclick="hs(this)" href="javascript:()">ZF_FUND1:def 6 : <br/></a><span> 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> holds <br/> ( <font color="Olive" title="b2">X</font> is  <a href="zf_fund1.html#V1" title="ZF_FUND1:attr.1">closed_wrt_A1</a>  iff  for <font color="Olive" title="b3">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> holds <br/><span class="p1"> { <span class="default"> <span class="p2"><a href="classes2.html#K5" title="CLASSES2:func.5">{</a><span class="default"><span class="p3"><a href="classes2.html#K6" title="CLASSES2:func.6">[</a><span class="default"><span class="p4">(<span class="default"><a href="ordinal4.html#K2" title="ORDINAL4:func.2">0-element_of</a> <font color="Olive" title="b1">V</font></span>)</span>,<font color="Olive" title="b4">x</font></span><a href="classes2.html#K6" title="CLASSES2:func.6">]</a></span>,<span class="p3"><a href="classes2.html#K6" title="CLASSES2:func.6">[</a><span class="default"><span class="p4">(<span class="default"><a href="ordinal4.html#K3" title="ORDINAL4:func.3">1-element_of</a> <font color="Olive" title="b1">V</font></span>)</span>,<font color="Olive" title="b5">y</font></span><a href="classes2.html#K6" title="CLASSES2:func.6">]</a></span></span><a href="classes2.html#K5" title="CLASSES2:func.5">}</a></span> where <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font> : ( <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">y</font> &amp; <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">a</font> &amp; <font color="Olive" title="b5">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">a</font> ) </span> } </span>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> );<br/></span></div>
