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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E8">def3</font></span>   defines <a href="cardfil2.html#K3" title="CARDFIL2:func.3">&lt;.</a> <a onclick="hs(this)" href="javascript:()">CARDFIL2:def 8 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">B</font>, <font color="Olive">b<sub>3</sub></font> being   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="cardfil2.html#K3" title="CARDFIL2:func.3">&lt;.</a><span class="default"><font color="Olive" title="b2">B</font></span><a href="cardfil2.html#K3" title="CARDFIL2:func.3">.]</a></span> iff  for <font color="Olive" title="b4">x</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff  ex <font color="Olive" title="b5">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">B</font> st <font color="Olive" title="b5">b</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">x</font> ) );<br/></span></div>
