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<b>let </b><font color="Maroon">y1</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X1</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X2</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X3</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X4</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X5</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X6</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X7</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X8</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="mcart_5.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X7</font>,<font color="Maroon">X8</font></span><a href="mcart_5.html#K2" target="_self">:]</a></span>;<br/>



















<b>assume </b><b>that </b><br/><a NAME="E1:30"/><i><font color="Green">E66</font></i>: 
( <font color="Maroon">X1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X3</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X4</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X5</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X6</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X7</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">X8</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  )
 <b>and </b><br/><a NAME="E2:30"/><i><font color="Green">E68</font></i>: 
for <font color="Olive">xx1</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X1</font><br/> for <font color="Olive">xx2</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X2</font><br/> for <font color="Olive">xx3</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X3</font><br/> for <font color="Olive">xx4</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X4</font><br/> for <font color="Olive">xx5</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X5</font><br/> for <font color="Olive">xx6</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X6</font><br/> for <font color="Olive">xx7</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X7</font><br/> for <font color="Olive">xx8</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X8</font>  st <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_5.html#K1" target="_self">[</a><span class="default"><font color="Olive">xx1</font>,<font color="Olive">xx2</font>,<font color="Olive">xx3</font>,<font color="Olive">xx4</font>,<font color="Olive">xx5</font>,<font color="Olive">xx6</font>,<font color="Olive">xx7</font>,<font color="Olive">xx8</font></span><a href="mcart_5.html#K1" target="_self">]</a></span> holds <br/><font color="Maroon">y1</font> <a href="hidden.html#R1">=</a> <font color="Olive">xx1</font>
 ;<br/>

<a NAME="E3:30"/>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_5.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="mcart_5.html#K3" target="_self">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="mcart_5.html#K4" target="_self">`2</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="mcart_5.html#K5" target="_self">`3</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="mcart_5.html#K6" target="_self">`4</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="mcart_5.html#K7" target="_self">`5</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="mcart_5.html#K8" target="_self">`6</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="mcart_5.html#K9" target="_self">`7</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="mcart_5.html#K10" target="_self">`8</a> </span>)</span></span><a href="mcart_5.html#K1" target="_self">]</a></span>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:30"/>
<font color="Maroon">y1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="mcart_5.html#K3" target="_self">`1</a> 
 <b>by </b><i/>;<br/>


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