<?xml version="1.0"?>
<div class="add">

<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>assume </b><b>that </b><br/><a NAME="E1:23"/><i><font color="Green">E51</font></i>: 
( <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><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">X1</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X3</font>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X6</font>,<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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> )
 <b>and </b><br/><a NAME="E2:23"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">X1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<a NAME="E3:23"/>
( <span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  or <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><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">X1</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  or <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X3</font>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  or <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  or <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  or <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X6</font>,<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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  )
 
<b>by </b><i>, , <a class="ref" href="xboole_1.html#T3">XBOOLE_1:3</a></i>;<br/>
<a NAME="E4:23"/><b>then </b><i><font color="Green">E55</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>  )
 
<b>by </b><i/>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="23_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="23_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:23_1_1"/>
( <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><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">X1</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X3</font>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span> or <font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X6</font>,<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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> )
 </span><b>by </b><i/>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="23_1_1_1"><b>suppose </b></a><a NAME="E1:23_1_1_1"/><i><font color="Green">E57</font></i>: 
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K2" target="_self">:]</a></span>
 ;<br/><div class="add"><b>consider </b><font color="Maroon">v</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:23_1_1_1"/><i><font color="Green">E59</font></i>: 
<font color="Maroon">v</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font>
 <b>and </b><br/><a NAME="E4:23_1_1_1"/><i><font color="Green">E61</font></i>: 
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> being   <a href="hidden.html#M1">set</a>   st ( <font color="Olive">x1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font> or <font color="Olive">x2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font> ) holds <br/><font color="Maroon">v</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K1" target="_self">]</a></span>
 <b>by </b><i>, </i>;<br/><b>reconsider </b><font color="Maroon">v</font> = <font color="Maroon">v</font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <b>by </b><i>, </i>;<br/><a NAME="E6:23_1_1_1"/>
( <font color="Maroon">v</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_3.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K3" target="_self">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K4" target="_self">`2</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K5" target="_self">`3</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K6" target="_self">`4</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K7" target="_self">`5</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K8" target="_self">`6</a> </span>)</span></span><a href="mcart_3.html#K1" target="_self">]</a></span> &amp; <font color="Maroon">v</font> <a href="mcart_3.html#K3" target="_self">`1</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font> )
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E7:23_1_1_1"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="23_1_1_2"><b>suppose </b></a><a NAME="E1:23_1_1_2"/>
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><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">X1</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span>
 ;<br/><div class="add"><a NAME="E2:23_1_1_2"/><b>then </b>
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_2.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X2</font>,<font color="Maroon">X3</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font></span><a href="mcart_2.html#K2">:]</a></span>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:23_1_1_2"/>
contradiction
 <b>by </b><i>, <a class="ref" href="mcart_2.html#T21">MCART_2:21</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="23_1_1_3"><b>suppose </b></a><a NAME="E1:23_1_1_3"/>
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X3</font>,<font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span>
 ;<br/><div class="add"><a NAME="E2:23_1_1_3"/><b>then </b>
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_2.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X3</font>,<font color="Maroon">X4</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font></span><a href="mcart_2.html#K2">:]</a></span>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:23_1_1_3"/>
contradiction
 <b>by </b><i>, <a class="ref" href="mcart_2.html#T21">MCART_2:21</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="23_1_1_4"><b>suppose </b></a><a NAME="E1:23_1_1_4"/>
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X4</font>,<font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span>
 ;<br/><div class="add"><a NAME="E2:23_1_1_4"/><b>then </b>
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_2.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X4</font>,<font color="Maroon">X5</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font></span><a href="mcart_2.html#K2">:]</a></span>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:23_1_1_4"/>
contradiction
 <b>by </b><i>, <a class="ref" href="mcart_2.html#T21">MCART_2:21</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="23_1_1_5"><b>suppose </b></a><a NAME="E1:23_1_1_5"/>
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X5</font>,<font color="Maroon">X6</font>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font></span><a href="mcart_3.html#K2" target="_self">:]</a></span>
 ;<br/><div class="add"><a NAME="E2:23_1_1_5"/><b>then </b>
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_2.html#K2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X5</font>,<font color="Maroon">X6</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">X1</font>,<font color="Maroon">X2</font>,<font color="Maroon">X3</font>,<font color="Maroon">X4</font></span><a href="mcart_2.html#K2">:]</a></span>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:23_1_1_5"/>
contradiction
 <b>by </b><i>, <a class="ref" href="mcart_2.html#T21">MCART_2:21</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="23_1_1_6"><b>suppose </b></a><a NAME="E1:23_1_1_6"/><i><font color="Green">E63</font></i>: 
<font color="Maroon">X1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X6</font>,<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></span><a href="mcart_3.html#K2" target="_self">:]</a></span>
 ;<br/><div class="add"><b>consider </b><font color="Maroon">v</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:23_1_1_6"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">v</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font>
 <b>and </b><br/><a NAME="E4:23_1_1_6"/><i><font color="Green">E67</font></i>: 
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> being   <a href="hidden.html#M1">set</a>   st ( <font color="Olive">x1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font> or <font color="Olive">x2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font> ) holds <br/><font color="Maroon">v</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1"><a href="mcart_3.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></span><a href="mcart_3.html#K1" target="_self">]</a></span>
 <b>by </b><i>, </i>;<br/><b>reconsider </b><font color="Maroon">v</font> = <font color="Maroon">v</font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="mcart_3.html#K2" target="_self">[:</a><span class="default"><font color="Maroon">X6</font>,<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></span><a href="mcart_3.html#K2" target="_self">:]</a></span> <b>by </b><i>, </i>;<br/><a NAME="E6:23_1_1_6"/>
( <font color="Maroon">v</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_3.html#K1" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K3" target="_self">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K4" target="_self">`2</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K5" target="_self">`3</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K6" target="_self">`4</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K7" target="_self">`5</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="mcart_3.html#K8" target="_self">`6</a> </span>)</span></span><a href="mcart_3.html#K1" target="_self">]</a></span> &amp; <font color="Maroon">v</font> <a href="mcart_3.html#K4" target="_self">`2</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">X1</font> )
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E7:23_1_1_6"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E6:23"/>
contradiction
 ;<br/>


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