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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <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">c<sub>1</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="finsub_1.html#K5">Fin</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="normform.html#K7" target="_self">DISJOINT_PAIRS</a> <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>assume </b><a NAME="E1:33"/><i><font color="Green">E23</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="domain_1.html#K2">`1</a>  <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font> <a href="domain_1.html#K2">`1</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="domain_1.html#K3">`2</a>  <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font> <a href="domain_1.html#K3">`2</a>  )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="normform.html#D1" target="_self">NORMFORM:def 1</a><br/>

<a NAME="E2:33"/>
<font color="Maroon">c<sub>3</sub></font> <a href="domain_1.html#K2">`1</a>  <a href="xboole_0.html#R1">misses</a> <font color="Maroon">c<sub>3</sub></font> <a href="domain_1.html#K3">`2</a> 
 
<b>by </b><i><a class="ref" href="normform.html#T42" target="_self">Th42</a></i>;<br/>
<a NAME="E3:33"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="domain_1.html#K2">`1</a>  <a href="xboole_0.html#R1">misses</a> <font color="Maroon">c<sub>2</sub></font> <a href="domain_1.html#K3">`2</a> 
 
<b>by </b><i><a class="txt" href="normform.html#E1:33"><i><font color="Green">E23</font></i></a>, <a class="ref" href="xboole_1.html#T64">XBOOLE_1:64</a></i>;<br/>
<b>hence </b><a NAME="E4:33"/>
<font color="Maroon">c<sub>2</sub></font> is    <a href="subset_1.html#M2">Element</a> of  <a href="normform.html#K7" target="_self">DISJOINT_PAIRS</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="normform.html#T42" target="_self">Th42</a></i>;<br/>


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