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<b>consider </b><font color="Maroon">xx1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X1</font>, <font color="Maroon">xx2</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X2</font>, <font color="Maroon">xx3</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X3</font>, <font color="Maroon">xx4</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X4</font>, <font color="Maroon">xx5</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X5</font>, <font color="Maroon">xx6</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X6</font>, <font color="Maroon">xx7</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X7</font>, <font color="Maroon">xx8</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X8</font>, <font color="Maroon">xx9</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X9</font><b> such that </b><br/><a NAME="E2:25_3_2"/><i><font color="Green">E89</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_6.html#K1" target="_self">[</a><span class="default"><font color="Maroon">xx1</font>,<font color="Maroon">xx2</font>,<font color="Maroon">xx3</font>,<font color="Maroon">xx4</font>,<font color="Maroon">xx5</font>,<font color="Maroon">xx6</font>,<font color="Maroon">xx7</font>,<font color="Maroon">xx8</font>,<font color="Maroon">xx9</font></span><a href="mcart_6.html#K1" target="_self">]</a></span>
 <b>by </b><i>, </i>;<br/>
<b>let </b><font color="Maroon">y</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X3</font>, <font color="Maroon">z</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X3</font>;<br/>

<b>assume </b><a NAME="E3:25_3_2"/>
for <font color="Olive">x1</font>, <font color="Olive">x2</font>, <font color="Olive">x3</font>, <font color="Olive">x4</font>, <font color="Olive">x5</font>, <font color="Olive">x6</font>, <font color="Olive">x7</font>, <font color="Olive">x8</font>, <font color="Olive">x9</font> being   <a href="hidden.html#M1">set</a>   st <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_6.html#K1" target="_self">[</a><span class="default"><font color="Olive">x1</font>,<font color="Olive">x2</font>,<font color="Olive">x3</font>,<font color="Olive">x4</font>,<font color="Olive">x5</font>,<font color="Olive">x6</font>,<font color="Olive">x7</font>,<font color="Olive">x8</font>,<font color="Olive">x9</font></span><a href="mcart_6.html#K1" target="_self">]</a></span> holds <br/><font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Olive">x3</font>
 ;<br/>

<a NAME="E4:25_3_2"/><b>then </b><i><font color="Green">E91</font></i>: 
<font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">xx3</font>
 
<b>by </b><i/>;<br/>
<b>assume </b><a NAME="E5:25_3_2"/>
for <font color="Olive">x1</font>, <font color="Olive">x2</font>, <font color="Olive">x3</font>, <font color="Olive">x4</font>, <font color="Olive">x5</font>, <font color="Olive">x6</font>, <font color="Olive">x7</font>, <font color="Olive">x8</font>, <font color="Olive">x9</font> being   <a href="hidden.html#M1">set</a>   st <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_6.html#K1" target="_self">[</a><span class="default"><font color="Olive">x1</font>,<font color="Olive">x2</font>,<font color="Olive">x3</font>,<font color="Olive">x4</font>,<font color="Olive">x5</font>,<font color="Olive">x6</font>,<font color="Olive">x7</font>,<font color="Olive">x8</font>,<font color="Olive">x9</font></span><a href="mcart_6.html#K1" target="_self">]</a></span> holds <br/><font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <font color="Olive">x3</font>
 ;<br/>

<b>hence </b><a NAME="E6:25_3_2"/>
<font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z</font>
 <b>by </b><i>, </i>;<br/>


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