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<b>let </b><font color="Maroon" title="c1">x1</font>, <font color="Maroon" title="c2">x2</font>, <font color="Maroon" title="c3">x3</font>, <font color="Maroon" title="c4">x4</font>, <font color="Maroon" title="c5">x5</font>, <font color="Maroon" title="c6">x6</font>, <font color="Maroon" title="c7">x7</font>, <font color="Maroon" title="c8">x8</font>, <font color="Maroon" title="c9">y1</font>, <font color="Maroon" title="c10">y2</font>, <font color="Maroon" title="c11">y3</font>, <font color="Maroon" title="c12">y4</font>, <font color="Maroon" title="c13">y5</font>, <font color="Maroon" title="c14">y6</font>, <font color="Maroon" title="c15">y7</font>, <font color="Maroon" title="c16">y8</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>































<b>assume </b><a NAME="E1:10"/>
<span class="p1"><a href="mcart_5.html#K1" title="MCART_5:func.1">[</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c2">x2</font>,<font color="Maroon" title="c3">x3</font>,<font color="Maroon" title="c4">x4</font>,<font color="Maroon" title="c5">x5</font>,<font color="Maroon" title="c6">x6</font>,<font color="Maroon" title="c7">x7</font>,<font color="Maroon" title="c8">x8</font></span><a href="mcart_5.html#K1" title="MCART_5:func.1">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_5.html#K1" title="MCART_5:func.1">[</a><span class="default"><font color="Maroon" title="c9">y1</font>,<font color="Maroon" title="c10">y2</font>,<font color="Maroon" title="c11">y3</font>,<font color="Maroon" title="c12">y4</font>,<font color="Maroon" title="c13">y5</font>,<font color="Maroon" title="c14">y6</font>,<font color="Maroon" title="c15">y7</font>,<font color="Maroon" title="c16">y8</font></span><a href="mcart_5.html#K1" title="MCART_5:func.1">]</a></span>
 ;<br/>

<a NAME="E2:10"/><b>then </b>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="mcart_4.html#K1" title="MCART_4:func.1">[</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c2">x2</font>,<font color="Maroon" title="c3">x3</font>,<font color="Maroon" title="c4">x4</font>,<font color="Maroon" title="c5">x5</font>,<font color="Maroon" title="c6">x6</font>,<font color="Maroon" title="c7">x7</font></span><a href="mcart_4.html#K1" title="MCART_4:func.1">]</a></span>,<font color="Maroon" title="c8">x8</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="mcart_4.html#K1" title="MCART_4:func.1">[</a><span class="default"><font color="Maroon" title="c9">y1</font>,<font color="Maroon" title="c10">y2</font>,<font color="Maroon" title="c11">y3</font>,<font color="Maroon" title="c12">y4</font>,<font color="Maroon" title="c13">y5</font>,<font color="Maroon" title="c14">y6</font>,<font color="Maroon" title="c15">y7</font></span><a href="mcart_4.html#K1" title="MCART_4:func.1">]</a></span>,<font color="Maroon" title="c16">y8</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 
;<br/>
<a NAME="E3:10"/><b>then </b>
( <span class="p1"><a href="mcart_4.html#K1" title="MCART_4:func.1">[</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c2">x2</font>,<font color="Maroon" title="c3">x3</font>,<font color="Maroon" title="c4">x4</font>,<font color="Maroon" title="c5">x5</font>,<font color="Maroon" title="c6">x6</font>,<font color="Maroon" title="c7">x7</font></span><a href="mcart_4.html#K1" title="MCART_4:func.1">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_4.html#K1" title="MCART_4:func.1">[</a><span class="default"><font color="Maroon" title="c9">y1</font>,<font color="Maroon" title="c10">y2</font>,<font color="Maroon" title="c11">y3</font>,<font color="Maroon" title="c12">y4</font>,<font color="Maroon" title="c13">y5</font>,<font color="Maroon" title="c14">y6</font>,<font color="Maroon" title="c15">y7</font></span><a href="mcart_4.html#K1" title="MCART_4:func.1">]</a></span> &amp; <font color="Maroon" title="c8">x8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">y8</font> )
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T33" title="ZFMISC_1:th.33">ZFMISC_1:33</a></i>;<br/>
<b>hence </b><a NAME="E4:10"/>
( <font color="Maroon" title="c1">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">y1</font> &amp; <font color="Maroon" title="c2">x2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">y2</font> &amp; <font color="Maroon" title="c3">x3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">y3</font> &amp; <font color="Maroon" title="c4">x4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">y4</font> &amp; <font color="Maroon" title="c5">x5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">y5</font> &amp; <font color="Maroon" title="c6">x6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c14">y6</font> &amp; <font color="Maroon" title="c7">x7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">y7</font> &amp; <font color="Maroon" title="c8">x8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">y8</font> )
 <b>by </b><i><a class="ref" href="mcart_4.html#T9" title="MCART_4:th.9">MCART_4:9</a></i>;<br/>


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