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<b>let </b><font color="Maroon">p</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/>

<a NAME="E1:57"/>
 <a href="cqc_sim1.html#K15" target="_self">SepQuadruples</a> <font color="Maroon">p</font> <a href="cqc_sim1.html#R1" target="_self">is_Sep-closed_on</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="cqc_sim1.html#T2" target="_self">Th2</a></i>;<br/>
<b>hence </b><a NAME="E2:57"/>
for <font color="Olive">q</font>, <font color="Olive">r</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> <br/> for <font color="Olive">k</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <br/> for <font color="Olive">K</font> being  <a href="finsub_1.html#NM1">Finite_Subset</a> of <a href="qc_lang1.html#K2">bound_QC-variables</a> <br/> for <font color="Olive">f</font> being   <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <a href="qc_lang1.html#K2">bound_QC-variables</a> ,<a href="qc_lang1.html#K2">bound_QC-variables</a>   st <span class="p1"><a href="mcart_1.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive">q</font> <a href="cqc_lang.html#K11">'&amp;'</a> <font color="Olive">r</font></span>)</span>,<font color="Olive">k</font>,<font color="Olive">K</font>,<font color="Olive">f</font></span><a href="mcart_1.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="cqc_sim1.html#K15" target="_self">SepQuadruples</a> <font color="Maroon">p</font> holds <br/>( <span class="p1"><a href="mcart_1.html#K4">[</a><span class="default"><font color="Olive">q</font>,<font color="Olive">k</font>,<font color="Olive">K</font>,<font color="Olive">f</font></span><a href="mcart_1.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="cqc_sim1.html#K15" target="_self">SepQuadruples</a> <font color="Maroon">p</font> &amp; <span class="p1"><a href="mcart_1.html#K4">[</a><span class="default"><font color="Olive">r</font>,<span class="p2">(<span class="default"><font color="Olive">k</font> <a href="nat_1.html#K1">+</a> <span class="p3">(<span class="default"><a href="cqc_sim1.html#K6" target="_self">QuantNbr</a> <font color="Olive">q</font></span>)</span></span>)</span>,<font color="Olive">K</font>,<font color="Olive">f</font></span><a href="mcart_1.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="cqc_sim1.html#K15" target="_self">SepQuadruples</a> <font color="Maroon">p</font> )
 <b>by </b><i/>;<br/>


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