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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">a</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="normform.html#K7" target="_self">DISJOINT_PAIRS</a> <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">V</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">W</font> be    <a href="hidden.html#M1">set</a> ;<br/>





<a NAME="E1:36"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">a</font> <a href="domain_1.html#K2">`1</a>  <a href="xboole_0.html#R1">misses</a> <font color="Maroon">a</font> <a href="domain_1.html#K3">`2</a> 
 
<b>by </b><i><a class="ref" href="normform.html#T12" target="_self">Th12</a></i>;<br/>
<a NAME="E2:36"/><i><font color="Green">E30</font></i>: 
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">V</font>,<font color="Maroon">W</font></span><a href="tarski.html#K4">]</a></span> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">V</font> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">V</font>,<font color="Maroon">W</font></span><a href="tarski.html#K4">]</a></span> <a href="mcart_1.html#K2">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">W</font> )
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>assume </b><a NAME="E3:36"/><i><font color="Green">E44</font></i>: 
( <font color="Maroon">V</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">a</font> <a href="domain_1.html#K2">`1</a>  &amp; <font color="Maroon">W</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">a</font> <a href="domain_1.html#K3">`2</a>  )
 ;<br/>

<a NAME="E4:36"/><b>then </b>
( <font color="Maroon">V</font> is    <a href="subset_1.html#M1">Element</a> of  <a href="finsub_1.html#K5">Fin</a> <font color="Maroon">X</font> &amp; <font color="Maroon">W</font> is    <a href="subset_1.html#M1">Element</a> of  <a href="finsub_1.html#K5">Fin</a> <font color="Maroon">X</font> )
 
<b>by </b><i><a class="ref" href="setwiseo.html#T16">SETWISEO:16</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">x</font> = <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">V</font>,<font color="Maroon">W</font></span><a href="tarski.html#K4">]</a></span> as    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="finsub_1.html#K5">Fin</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="finsub_1.html#K5">Fin</a> <font color="Maroon">X</font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span> <b>by </b><i><a class="ref" href="zfmisc_1.html#D2">ZFMISC_1:def 2</a></i>;<br/>
<a NAME="E6:36"/>
<font color="Maroon">x</font> <a href="domain_1.html#K2">`1</a>  <a href="xboole_0.html#R1">misses</a> <font color="Maroon">x</font> <a href="domain_1.html#K3">`2</a> 
 
<b>by </b><i><a class="ref" href="normform.html#T21" target="_self">Th21</a>, <a class="ref" href="normform.html#T22" target="_self">Th22</a>, <a class="ref" href="normform.html#T25" target="_self">Th25</a>, <a class="ref" href="xboole_1.html#T64">XBOOLE_1:64</a></i>;<br/>
<b>hence </b><a NAME="E7:36"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">V</font>,<font color="Maroon">W</font></span><a href="tarski.html#K4">]</a></span> is    <a href="subset_1.html#M2">Element</a> of  <a href="normform.html#K7" target="_self">DISJOINT_PAIRS</a> <font color="Maroon">X</font>
 <b>by </b><i><a class="ref" href="normform.html#T12" target="_self">Th12</a></i>;<br/>


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