<?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">X8</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>let </b><font color="Maroon">Y8</font> be    <a href="hidden.html#M1">set</a> ;<br/>































<a NAME="E1:28"/><i><font color="Green">E66</font></i>: 
( <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p3"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p4"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p5"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p0"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X1</font>,<font color="Maroon">X2</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X3</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X4</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X5</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X6</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X7</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X8</font></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_5.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>,<font color="Maroon">X8</font></span><a href="mcart_5.html#K2" target="_self">:]</a></span> &amp; <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p3"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p4"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p5"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p0"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">Y1</font>,<font color="Maroon">Y2</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y3</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y4</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y5</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y6</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y7</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y8</font></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_5.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>,<font color="Maroon">Y8</font></span><a href="mcart_5.html#K2" target="_self">:]</a></span> )
 
<b>by </b><i/>;<br/>
<a NAME="E2:28"/><i><font color="Green">E68</font></i>: 
( <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p3"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p4"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p5"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p0"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X1</font>,<font color="Maroon">X2</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X3</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X4</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X5</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X6</font></span><a href="zfmisc_1.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="mcart_4.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>,<font color="Maroon">X7</font></span><a href="mcart_4.html#K2">:]</a></span> &amp; <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p3"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p4"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p5"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p0"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">Y1</font>,<font color="Maroon">Y2</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y3</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y4</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y5</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y6</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y7</font></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_4.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>,<font color="Maroon">Y7</font></span><a href="mcart_4.html#K2">:]</a></span> )
 
<b>by </b><i><a class="ref" href="mcart_4.html#T11">MCART_4:11</a></i>;<br/>
<b>assume </b><a NAME="E3:28"/>
<span class="p1"><a href="mcart_5.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>,<font color="Maroon">X8</font></span><a href="mcart_5.html#K2" target="_self">:]</a></span> <a href="xboole_0.html#NR5" target="_self">meets</a> <span class="p1"><a href="mcart_5.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>,<font color="Maroon">Y8</font></span><a href="mcart_5.html#K2" target="_self">:]</a></span>
 ;<br/>

<a NAME="E4:28"/><b>then </b>
( <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p3"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p4"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p5"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p0"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X1</font>,<font color="Maroon">X2</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X3</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X4</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X5</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X6</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X7</font></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="xboole_0.html#NR5" target="_self">meets</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p3"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p4"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p5"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p0"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">Y1</font>,<font color="Maroon">Y2</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y3</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y4</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y5</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y6</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">Y7</font></span><a href="zfmisc_1.html#K2">:]</a></span> &amp; <font color="Maroon">X8</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y8</font> )
 
<b>by </b><i>, <a class="ref" href="zfmisc_1.html#T127">ZFMISC_1:127</a></i>;<br/>
<b>hence </b><a NAME="E5:28"/>
( <font color="Maroon">X1</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y1</font> &amp; <font color="Maroon">X2</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y2</font> &amp; <font color="Maroon">X3</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y3</font> &amp; <font color="Maroon">X4</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y4</font> &amp; <font color="Maroon">X5</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y5</font> &amp; <font color="Maroon">X6</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y6</font> &amp; <font color="Maroon">X7</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y7</font> &amp; <font color="Maroon">X8</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Maroon">Y8</font> )
 <b>by </b><i>, <a class="ref" href="mcart_4.html#T26">MCART_4:26</a></i>;<br/>


</div>
