<?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">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>assume </b><a NAME="E1:16"/><i><font color="Green">E51</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>  )
 ;<br/>

<a NAME="E2:16"/><b>then </b><i><font color="Green">E53</font></i>: 
<span class="p1"><a href="mcart_2.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></span><a href="mcart_2.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_2.html#T13">MCART_2:13</a></i>;<br/>
<b>assume </b><a NAME="E3:16"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">X6</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<b>assume </b><a NAME="E4:16"/>
<span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K2" target="_self">:]</a></span>
 ;<br/>

<a NAME="E5:16"/><b>then </b>
<span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="mcart_2.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></span><a href="mcart_2.html#K2">:]</a></span>,<font color="Maroon">X6</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_2.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></span><a href="mcart_2.html#K2">:]</a></span>,<font color="Maroon">Y6</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
;<br/>
<a NAME="E6:16"/><b>then </b>
( <span class="p1"><a href="mcart_2.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></span><a href="mcart_2.html#K2">:]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_2.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></span><a href="mcart_2.html#K2">:]</a></span> &amp; <font color="Maroon">X6</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y6</font> )
 
<b>by </b><i>, , <a class="ref" href="zfmisc_1.html#T134">ZFMISC_1:134</a></i>;<br/>
<b>hence </b><a NAME="E7:16"/>
( <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> )
 <b>by </b><i>, <a class="ref" href="mcart_2.html#T14">MCART_2:14</a></i>;<br/>


</div>
