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<div>:: <span class="kw">deftheorem </span>   defines <a href="pcomps_2.html#K2" title="PCOMPS_2:func.2">DisjointFam</a> <a onclick="hs(this)" href="javascript:()">PCOMPS_2:def 2 : <br/></a><span> for <font color="Olive" title="b1">FX</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">R</font> being   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pcomps_2.html#K2" title="PCOMPS_2:func.2">DisjointFam</a> (<font color="Olive" title="b1">FX</font>,<font color="Olive" title="b2">R</font>) iff  for <font color="Olive" title="b4">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b4">A</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="b1">FX</font> st <br/>( <font color="Olive" title="b5">B</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">FX</font> &amp; <font color="Olive" title="b4">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">B</font> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1">(<span class="default"><a href="pcomps_2.html#K1" title="PCOMPS_2:func.1">PartUnion</a> (<font color="Olive" title="b5">B</font>,<font color="Olive" title="b2">R</font>)</span>)</span> ) ) );<br/></span></div>
