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<b>let </b><font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X1</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X2</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X3</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X4</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X5</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X6</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X7</font> be    <a href="hidden.html#M1">set</a> ;<br/>















<b>assume </b><a NAME="E1:35"/>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="mcart_4.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X7</font></span><a href="mcart_4.html#K2" target="_self">:]</a></span>
 ;<br/>

<a NAME="E2:35"/><b>then </b>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="mcart_3.html#K2">[:</a><span class="default"><font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font></span><a href="mcart_3.html#K2">:]</a></span>,<font color="Maroon">X7</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
;<br/>
<b>then consider </b><font color="Maroon">x123456</font> being    <a href="hidden.html#M1">set</a> , <font color="Maroon">x7</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E4:35"/><i><font color="Green">E59</font></i>: 
<font color="Maroon">x123456</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="mcart_3.html#K2">[:</a><span class="default"><font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font></span><a href="mcart_3.html#K2">:]</a></span>
 <b>and </b><br/><a NAME="E5:35"/><i><font color="Green">E61</font></i>: 
<font color="Maroon">x7</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X7</font>
 <b>and </b><br/><a NAME="E6:35"/><i><font color="Green">E63</font></i>: 
<font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x123456</font>,<font color="Maroon">x7</font></span><a href="tarski.html#K4">]</a></span>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#D2">ZFMISC_1:def 2</a></i>;<br/>
<b>consider </b><font color="Maroon">x1</font> being    <a href="hidden.html#M1">set</a> , <font color="Maroon">x2</font> being    <a href="hidden.html#M1">set</a> , <font color="Maroon">x3</font> being    <a href="hidden.html#M1">set</a> , <font color="Maroon">x4</font> being    <a href="hidden.html#M1">set</a> , <font color="Maroon">x5</font> being    <a href="hidden.html#M1">set</a> , <font color="Maroon">x6</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E8:35"/><i><font color="Green">E65</font></i>: 
( <font color="Maroon">x1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X2</font> &amp; <font color="Maroon">x3</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X3</font> &amp; <font color="Maroon">x4</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X4</font> &amp; <font color="Maroon">x5</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X5</font> &amp; <font color="Maroon">x6</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X6</font> &amp; <font color="Maroon">x123456</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_3.html#K1">[</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">x2</font>,<font color="Maroon">x3</font>,<font color="Maroon">x4</font>,<font color="Maroon">x5</font>,<font color="Maroon">x6</font></span><a href="mcart_3.html#K1">]</a></span> )
 <b>by </b><i>, <a class="ref" href="mcart_3.html#T33">MCART_3:33</a></i>;<br/>
<a NAME="E9:35"/>
<font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_4.html#K1" target="_self">[</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">x2</font>,<font color="Maroon">x3</font>,<font color="Maroon">x4</font>,<font color="Maroon">x5</font>,<font color="Maroon">x6</font>,<font color="Maroon">x7</font></span><a href="mcart_4.html#K1" target="_self">]</a></span>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E10:35"/>
 ex <font color="Olive">x1</font>, <font color="Olive">x2</font>, <font color="Olive">x3</font>, <font color="Olive">x4</font>, <font color="Olive">x5</font>, <font color="Olive">x6</font>, <font color="Olive">x7</font> being   <a href="hidden.html#M1">set</a>  st <br/>( <font color="Olive">x1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font> &amp; <font color="Olive">x2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X2</font> &amp; <font color="Olive">x3</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X3</font> &amp; <font color="Olive">x4</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X4</font> &amp; <font color="Olive">x5</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X5</font> &amp; <font color="Olive">x6</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X6</font> &amp; <font color="Olive">x7</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X7</font> &amp; <font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_4.html#K1" target="_self">[</a><span class="default"><font color="Olive">x1</font>,<font color="Olive">x2</font>,<font color="Olive">x3</font>,<font color="Olive">x4</font>,<font color="Olive">x5</font>,<font color="Olive">x6</font>,<font color="Olive">x7</font></span><a href="mcart_4.html#K1" target="_self">]</a></span> )
 <b>by </b><i>, </i>;<br/>


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