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<b>let </b><font color="Maroon" title="c1">X1</font>, <font color="Maroon" title="c2">Y1</font>, <font color="Maroon" title="c3">X2</font>, <font color="Maroon" title="c4">Y2</font>, <font color="Maroon" title="c5">X3</font>, <font color="Maroon" title="c6">Y3</font>, <font color="Maroon" title="c7">X4</font>, <font color="Maroon" title="c8">Y4</font>, <font color="Maroon" title="c9">X5</font>, <font color="Maroon" title="c10">Y5</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>



















<b>assume </b><a NAME="E1:37"/>
( <font color="Maroon" title="c1">X1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c2">Y1</font> &amp; <font color="Maroon" title="c3">X2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">Y2</font> &amp; <font color="Maroon" title="c5">X3</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c6">Y3</font> &amp; <font color="Maroon" title="c7">X4</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c8">Y4</font> )
 ;<br/>

<a NAME="E2:37"/><b>then </b><i><font color="Green" title="E23">A1</font></i>: 
<span class="p1"><a href="zfmisc_1.html#K4" title="ZFMISC_1:func.4">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c3">X2</font>,<font color="Maroon" title="c5">X3</font>,<font color="Maroon" title="c7">X4</font></span><a href="zfmisc_1.html#K4" title="ZFMISC_1:func.4">:]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="zfmisc_1.html#K4" title="ZFMISC_1:func.4">[:</a><span class="default"><font color="Maroon" title="c2">Y1</font>,<font color="Maroon" title="c4">Y2</font>,<font color="Maroon" title="c6">Y3</font>,<font color="Maroon" title="c8">Y4</font></span><a href="zfmisc_1.html#K4" title="ZFMISC_1:func.4">:]</a></span>
 
<b>by </b><i><a class="ref" href="mcart_1.html#T88" title="MCART_1:th.88">MCART_1:88</a></i>;<br/>
<b>assume </b><a NAME="E3:37"/>
<font color="Maroon" title="c9">X5</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c10">Y5</font>
 ;<br/>

<b>hence </b><a NAME="E4:37"/>
<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="c3">X2</font>,<font color="Maroon" title="c5">X3</font>,<font color="Maroon" title="c7">X4</font>,<font color="Maroon" title="c9">X5</font></span><a href="mcart_2.html#K2" title="MCART_2:func.2">:]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="mcart_2.html#K2" title="MCART_2:func.2">[:</a><span class="default"><font color="Maroon" title="c2">Y1</font>,<font color="Maroon" title="c4">Y2</font>,<font color="Maroon" title="c6">Y3</font>,<font color="Maroon" title="c8">Y4</font>,<font color="Maroon" title="c10">Y5</font></span><a href="mcart_2.html#K2" title="MCART_2:func.2">:]</a></span>
 <b>by </b><i><a class="txt" href="mcart_2.html#E2:37"><i><font color="Green" title="E23">A1</font></i></a>, <a class="ref" href="zfmisc_1.html#T119" title="ZFMISC_1:th.119">ZFMISC_1:119</a></i>;<br/>


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