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<span class="kw">let </span><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">x9</font>, <font color="Maroon" title="c10">y1</font>, <font color="Maroon" title="c11">y2</font>, <font color="Maroon" title="c12">y3</font>, <font color="Maroon" title="c13">y4</font>, <font color="Maroon" title="c14">y5</font>, <font color="Maroon" title="c15">y6</font>, <font color="Maroon" title="c16">y7</font>, <font color="Maroon" title="c17">y8</font>, <font color="Maroon" title="c18">y9</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <span class="p1"><a href="mcart_2.html#K36" title="MCART_2:func.36">[</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>,<font color="Maroon" title="c9">x9</font></span><a href="mcart_2.html#K36" title="MCART_2:func.36">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_2.html#K36" title="MCART_2:func.36">[</a><span class="default"><font color="Maroon" title="c10">y1</font>,<font color="Maroon" title="c11">y2</font>,<font color="Maroon" title="c12">y3</font>,<font color="Maroon" title="c13">y4</font>,<font color="Maroon" title="c14">y5</font>,<font color="Maroon" title="c15">y6</font>,<font color="Maroon" title="c16">y7</font>,<font color="Maroon" title="c17">y8</font>,<font color="Maroon" title="c18">y9</font></span><a href="mcart_2.html#K36" title="MCART_2:func.36">]</a></span> implies ( <font color="Maroon" title="c1">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">y1</font> &amp; <font color="Maroon" title="c2">x2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">y2</font> &amp; <font color="Maroon" title="c3">x3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">y3</font> &amp; <font color="Maroon" title="c4">x4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">y4</font> &amp; <font color="Maroon" title="c5">x5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c14">y5</font> &amp; <font color="Maroon" title="c6">x6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">y6</font> &amp; <font color="Maroon" title="c7">x7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">y7</font> &amp; <font color="Maroon" title="c8">x8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">y8</font> &amp; <font color="Maroon" title="c9">x9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y9</font> ) )</span><br/>



































<span class="kw">assume </span><a NAME="E1:148"/><span class="lab"><font color="Green" title="E98">A1</font></span>: 
<span class="p1"><a href="mcart_2.html#K36" title="MCART_2:func.36">[</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>,<font color="Maroon" title="c9">x9</font></span><a href="mcart_2.html#K36" title="MCART_2:func.36">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_2.html#K36" title="MCART_2:func.36">[</a><span class="default"><font color="Maroon" title="c10">y1</font>,<font color="Maroon" title="c11">y2</font>,<font color="Maroon" title="c12">y3</font>,<font color="Maroon" title="c13">y4</font>,<font color="Maroon" title="c14">y5</font>,<font color="Maroon" title="c15">y6</font>,<font color="Maroon" title="c16">y7</font>,<font color="Maroon" title="c17">y8</font>,<font color="Maroon" title="c18">y9</font></span><a href="mcart_2.html#K36" title="MCART_2:func.36">]</a></span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">y1</font> &amp; <font color="Maroon" title="c2">x2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">y2</font> &amp; <font color="Maroon" title="c3">x3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">y3</font> &amp; <font color="Maroon" title="c4">x4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">y4</font> &amp; <font color="Maroon" title="c5">x5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c14">y5</font> &amp; <font color="Maroon" title="c6">x6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">y6</font> &amp; <font color="Maroon" title="c7">x7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">y7</font> &amp; <font color="Maroon" title="c8">x8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">y8</font> &amp; <font color="Maroon" title="c9">x9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y9</font> )</span><br/>

<a NAME="E2:148"/><span class="kw">then </span>
<span class="p1"><a href="mcart_2.html#K26" title="MCART_2:func.26">[</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_2.html#K26" title="MCART_2:func.26">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_2.html#K26" title="MCART_2:func.26">[</a><span class="default"><font color="Maroon" title="c10">y1</font>,<font color="Maroon" title="c11">y2</font>,<font color="Maroon" title="c12">y3</font>,<font color="Maroon" title="c13">y4</font>,<font color="Maroon" title="c14">y5</font>,<font color="Maroon" title="c15">y6</font>,<font color="Maroon" title="c16">y7</font>,<font color="Maroon" title="c17">y8</font></span><a href="mcart_2.html#K26" title="MCART_2:func.26">]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zfmisc_1.html#T33" title="ZFMISC_1:th.33">ZFMISC_1:33</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:148"/>
( <font color="Maroon" title="c1">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">y1</font> &amp; <font color="Maroon" title="c2">x2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">y2</font> &amp; <font color="Maroon" title="c3">x3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">y3</font> &amp; <font color="Maroon" title="c4">x4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">y4</font> &amp; <font color="Maroon" title="c5">x5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c14">y5</font> &amp; <font color="Maroon" title="c6">x6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">y6</font> &amp; <font color="Maroon" title="c7">x7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">y7</font> &amp; <font color="Maroon" title="c8">x8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">y8</font> &amp; <font color="Maroon" title="c9">x9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y9</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:148"><span class="lab"><font color="Green" title="E98">A1</font></span></a>, <a class="ref" href="mcart_2.html#T124" target="_self" title="MCART_2:th.124">Th124</a>, <a class="ref" href="zfmisc_1.html#T33" title="ZFMISC_1:th.33">ZFMISC_1:33</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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