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<b>consider </b><font color="Maroon" title="c10">xx1</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">X1</font>, <font color="Maroon" title="c11">xx2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">X2</font>, <font color="Maroon" title="c12">xx3</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font>, <font color="Maroon" title="c13">xx4</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font>, <font color="Maroon" title="c14">xx5</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font>, <font color="Maroon" title="c15">xx6</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font>, <font color="Maroon" title="c16">xx7</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font>, <font color="Maroon" title="c17">xx8</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font><b> such that </b><br/><a NAME="E2:91_4_1"/><i><font color="Green" title="E60">A11</font></i>: 
<font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c10">xx1</font>,<font color="Maroon" title="c11">xx2</font>,<font color="Maroon" title="c12">xx3</font>,<font color="Maroon" title="c13">xx4</font>,<font color="Maroon" title="c14">xx5</font>,<font color="Maroon" title="c15">xx6</font>,<font color="Maroon" title="c16">xx7</font>,<font color="Maroon" title="c17">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span>
 <b>by </b><i><a class="txt" href="mcart_3.html#E1:91"><i><font color="Green" title="E59">A1</font></i></a>, <a class="ref" href="mcart_3.html#T98" target="_self" title="MCART_3:th.98">Th21</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c13">xx4</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">x1</font>, <font color="Olive" title="b2">x2</font>, <font color="Olive" title="b3">x3</font>, <font color="Olive" title="b4">x4</font>, <font color="Olive" title="b5">x5</font>, <font color="Olive" title="b6">x6</font>, <font color="Olive" title="b7">x7</font>, <font color="Olive" title="b8">x8</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Olive" title="b1">x1</font>,<font color="Olive" title="b2">x2</font>,<font color="Olive" title="b3">x3</font>,<font color="Olive" title="b4">x4</font>,<font color="Olive" title="b5">x5</font>,<font color="Olive" title="b6">x6</font>,<font color="Olive" title="b7">x7</font>,<font color="Olive" title="b8">x8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span> holds <br/><font color="Maroon" title="c13">xx4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">x4</font></span><br/>

<b>thus </b><a NAME="E3:91_4_1"/>
for <font color="Olive" title="b1">x1</font>, <font color="Olive" title="b2">x2</font>, <font color="Olive" title="b3">x3</font>, <font color="Olive" title="b4">x4</font>, <font color="Olive" title="b5">x5</font>, <font color="Olive" title="b6">x6</font>, <font color="Olive" title="b7">x7</font>, <font color="Olive" title="b8">x8</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Olive" title="b1">x1</font>,<font color="Olive" title="b2">x2</font>,<font color="Olive" title="b3">x3</font>,<font color="Olive" title="b4">x4</font>,<font color="Olive" title="b5">x5</font>,<font color="Olive" title="b6">x6</font>,<font color="Olive" title="b7">x7</font>,<font color="Olive" title="b8">x8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span> holds <br/><font color="Maroon" title="c13">xx4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">x4</font>
 <b>by </b><i><a class="txt" href="mcart_3.html#E2:91_4_1"><i><font color="Green" title="E60">A11</font></i></a>, <a class="ref" href="mcart_3.html#T86" target="_self" title="MCART_3:th.86">Th9</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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