<?xml version="1.0"?>
<div class="add">

<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>let </b><font color="Maroon">Y1</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y2</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y3</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y4</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y5</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y6</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y7</font> be    <a href="hidden.html#M1">set</a> ;<br/>



























<b>assume </b><a NAME="E1:18"/><i><font color="Green">E59</font></i>: 
( <font color="Maroon">X1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X3</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X4</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X5</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X6</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  )
 ;<br/>

<a NAME="E2:18"/><b>then </b><i><font color="Green">E61</font></i>: 
<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> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="mcart_3.html#T15">MCART_3:15</a></i>;<br/>
<b>assume </b><a NAME="E3:18"/><i><font color="Green">E63</font></i>: 
<font color="Maroon">X7</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<b>assume </b><a NAME="E4:18"/>
<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> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_4.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">Y1</font>,<font color="Maroon">Y2</font>,<font color="Maroon">Y3</font>,<font color="Maroon">Y4</font>,<font color="Maroon">Y5</font>,<font color="Maroon">Y6</font>,<font color="Maroon">Y7</font></span><a href="mcart_4.html#K2" target="_self">:]</a></span>
 ;<br/>

<a NAME="E5:18"/><b>then </b>
<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> <a href="hidden.html#R1">=</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">Y1</font>,<font color="Maroon">Y2</font>,<font color="Maroon">Y3</font>,<font color="Maroon">Y4</font>,<font color="Maroon">Y5</font>,<font color="Maroon">Y6</font></span><a href="mcart_3.html#K2">:]</a></span>,<font color="Maroon">Y7</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
;<br/>
<a NAME="E6:18"/><b>then </b>
( <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> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_3.html#K2">[:</a><span class="default"><font color="Maroon">Y1</font>,<font color="Maroon">Y2</font>,<font color="Maroon">Y3</font>,<font color="Maroon">Y4</font>,<font color="Maroon">Y5</font>,<font color="Maroon">Y6</font></span><a href="mcart_3.html#K2">:]</a></span> &amp; <font color="Maroon">X7</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y7</font> )
 
<b>by </b><i>, , <a class="ref" href="zfmisc_1.html#T134">ZFMISC_1:134</a></i>;<br/>
<b>hence </b><a NAME="E7:18"/>
( <font color="Maroon">X1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y1</font> &amp; <font color="Maroon">X2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y2</font> &amp; <font color="Maroon">X3</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y3</font> &amp; <font color="Maroon">X4</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y4</font> &amp; <font color="Maroon">X5</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y5</font> &amp; <font color="Maroon">X6</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y6</font> &amp; <font color="Maroon">X7</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y7</font> )
 <b>by </b><i>, <a class="ref" href="mcart_3.html#T16">MCART_3:16</a></i>;<br/>


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