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<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>assume </b><a NAME="E1:11"/>
<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> <a href="borsuk_5.html#R2" target="_self">are_mutually_different</a> 
 ;<br/>

<a NAME="E2:11"/><b>then </b>
( <font color="Maroon">x1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x2</font> &amp; <font color="Maroon">x1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x3</font> &amp; <font color="Maroon">x1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x4</font> &amp; <font color="Maroon">x1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x5</font> &amp; <font color="Maroon">x1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x6</font> &amp; <font color="Maroon">x1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x7</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x3</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x4</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x5</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x6</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x7</font> &amp; <font color="Maroon">x3</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x4</font> &amp; <font color="Maroon">x3</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x5</font> &amp; <font color="Maroon">x3</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x6</font> &amp; <font color="Maroon">x3</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x7</font> &amp; <font color="Maroon">x4</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x5</font> &amp; <font color="Maroon">x4</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x6</font> &amp; <font color="Maroon">x4</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x7</font> &amp; <font color="Maroon">x5</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x6</font> &amp; <font color="Maroon">x5</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x7</font> &amp; <font color="Maroon">x6</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x7</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:11"/>
<font color="Maroon">x1</font>,<font color="Maroon">x2</font>,<font color="Maroon">x5</font>,<font color="Maroon">x3</font>,<font color="Maroon">x6</font>,<font color="Maroon">x7</font>,<font color="Maroon">x4</font> <a href="borsuk_5.html#R2" target="_self">are_mutually_different</a> 
 <b>by </b><i/>;<br/>


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