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<b>consider </b><font color="Maroon" title="c9">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="c10">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="c11">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="c12">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="c13">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="c14">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="c15">xx7</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font><b> such that </b><br/><a NAME="E2:22_3_2"/><i><font color="Green" title="E12">A9</font></i>: 
<font color="Maroon" title="c8">x</font> <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">xx1</font>,<font color="Maroon" title="c10">xx2</font>,<font color="Maroon" title="c11">xx3</font>,<font color="Maroon" title="c12">xx4</font>,<font color="Maroon" title="c13">xx5</font>,<font color="Maroon" title="c14">xx6</font>,<font color="Maroon" title="c15">xx7</font></span><a href="mcart_4.html#K1" title="MCART_4:func.1">]</a></span>
 <b>by </b><i><a class="txt" href="mcart_4.html#E1:22"><i><font color="Green" title="E11">A1</font></i></a>, <a class="ref" href="mcart_4.html#T21" target="_self" title="MCART_4:th.21">Th21</a></i>;<br/>
<b>let </b><font color="Maroon" title="c16">y</font>, <font color="Maroon" title="c17">z</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font>;<br/>

<b>assume </b><a NAME="E3:22_3_2"/>
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> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Maroon" title="c8">x</font> <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="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></span><a href="mcart_4.html#K1" title="MCART_4:func.1">]</a></span> holds <br/><font color="Maroon" title="c16">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">x3</font>
 ;<br/>

<a NAME="E4:22_3_2"/><b>then </b><i><font color="Green" title="E13">A10</font></i>: 
<font color="Maroon" title="c16">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">xx3</font>
 
<b>by </b><i><a class="txt" href="mcart_4.html#E2:22_3_2"><i><font color="Green" title="E12">A9</font></i></a></i>;<br/>
<b>assume </b><a NAME="E5:22_3_2"/>
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> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Maroon" title="c8">x</font> <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="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></span><a href="mcart_4.html#K1" title="MCART_4:func.1">]</a></span> holds <br/><font color="Maroon" title="c17">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">x3</font>
 ;<br/>

<b>hence </b><a NAME="E6:22_3_2"/>
<font color="Maroon" title="c16">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">z</font>
 <b>by </b><i><a class="txt" href="mcart_4.html#E2:22_3_2"><i><font color="Green" title="E12">A9</font></i></a>, <a class="txt" href="mcart_4.html#E4:22_3_2"><i><font color="Green" title="E13">A10</font></i></a></i>;<br/>


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