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<b>let </b><font color="Maroon" title="c1">X1</font>, <font color="Maroon" title="c2">X2</font>, <font color="Maroon" title="c3">X3</font>, <font color="Maroon" title="c4">X4</font>, <font color="Maroon" title="c5">X5</font>, <font color="Maroon" title="c6">X6</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>











<b>assume </b><a NAME="E1:19"/><i><font color="Green" title="E11">A1</font></i>: 
( <font color="Maroon" title="c1">X1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c2">X2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c3">X3</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c4">X4</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c5">X5</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c6">X6</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )
 ;<br/>

<a NAME="E2:19"/><b>then </b><i><font color="Green" title="E12">A2</font></i>: 
<span class="p1"><a href="mcart_2.html#K2" title="MCART_2:func.2">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font></span><a href="mcart_2.html#K2" title="MCART_2:func.2">:]</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<b>by </b><i><a class="ref" href="mcart_2.html#T13" title="MCART_2:th.13">MCART_2:13</a></i>;<br/>
<b>let </b><font color="Maroon" title="c7">x</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_3.html#K2" title="MCART_3:func.2">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font>,<font color="Maroon" title="c6">X6</font></span><a href="mcart_3.html#K2" title="MCART_3:func.2">:]</a></span>;<br/>

<b>reconsider </b><font color="Maroon" title="c8">x'</font> = <font color="Maroon" title="c7">x</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2"><a href="mcart_2.html#K2" title="MCART_2:func.2">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font></span><a href="mcart_2.html#K2" title="MCART_2:func.2">:]</a></span>,<font color="Maroon" title="c6">X6</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> ;<br/>
<b>consider </b><font color="Maroon" title="c9">x12345</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_2.html#K2" title="MCART_2:func.2">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font></span><a href="mcart_2.html#K2" title="MCART_2:func.2">:]</a></span>, <font color="Maroon" title="c10">xx6</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font><b> such that </b><br/><a NAME="E5:19"/><i><font color="Green" title="E13">A3</font></i>: 
<font color="Maroon" title="c8">x'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c9">x12345</font>,<font color="Maroon" title="c10">xx6</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 <b>by </b><i><a class="txt" href="mcart_3.html#E1:19"><i><font color="Green" title="E11">A1</font></i></a>, <a class="txt" href="mcart_3.html#E2:19"><i><font color="Green" title="E12">A2</font></i></a>, <a class="ref" href="mcart_2.html#T36" title="MCART_2:th.36">MCART_2:36</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c11">xx1</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">X1</font>, <font color="Maroon" title="c12">xx2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">X2</font>, <font color="Maroon" title="c13">xx3</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font>, <font color="Maroon" title="c14">xx4</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font>, <font color="Maroon" title="c15">xx5</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font><b> such that </b><br/><a NAME="E7:19"/><i><font color="Green" title="E14">A4</font></i>: 
<font color="Maroon" title="c9">x12345</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_2.html#K1" title="MCART_2:func.1">[</a><span class="default"><font color="Maroon" title="c11">xx1</font>,<font color="Maroon" title="c12">xx2</font>,<font color="Maroon" title="c13">xx3</font>,<font color="Maroon" title="c14">xx4</font>,<font color="Maroon" title="c15">xx5</font></span><a href="mcart_2.html#K1" title="MCART_2:func.1">]</a></span>
 <b>by </b><i><a class="txt" href="mcart_3.html#E1:19"><i><font color="Green" title="E11">A1</font></i></a>, <a class="ref" href="mcart_2.html#T17" title="MCART_2:th.17">MCART_2:17</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c11">xx1</font>
;<br/>

<b>take </b>
<font color="Maroon" title="c12">xx2</font>
;<br/>

<b>take </b>
<font color="Maroon" title="c13">xx3</font>
;<br/>

<b>take </b>
<font color="Maroon" title="c14">xx4</font>
;<br/>

<b>take </b>
<font color="Maroon" title="c15">xx5</font>
;<br/>

<b>take </b>
<font color="Maroon" title="c10">xx6</font>
;<br/>

<b>thus </b><a NAME="E8:19"/>
<font color="Maroon" title="c7">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K1" title="MCART_3:func.1">[</a><span class="default"><font color="Maroon" title="c11">xx1</font>,<font color="Maroon" title="c12">xx2</font>,<font color="Maroon" title="c13">xx3</font>,<font color="Maroon" title="c14">xx4</font>,<font color="Maroon" title="c15">xx5</font>,<font color="Maroon" title="c10">xx6</font></span><a href="mcart_3.html#K1" title="MCART_3:func.1">]</a></span>
 <b>by </b><i><a class="txt" href="mcart_3.html#E5:19"><i><font color="Green" title="E13">A3</font></i></a>, <a class="txt" href="mcart_3.html#E7:19"><i><font color="Green" title="E14">A4</font></i></a></i>;<br/>


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