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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><b>that </b><br/><a NAME="E1:9"/><i><font color="Green">E34</font></i>: 
<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> <a href="borsuk_5.html#R1" target="_self">are_mutually_different</a> 
 <b>and </b><br/><a NAME="E2:9"/><i><font color="Green">E35</font></i>: 
<span class="p1"><a href="enumset1.html#K4">{</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="enumset1.html#K4">}</a></span> <a href="subset_1.html#R1">misses</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">x7</font></span><a href="tarski.html#K1">}</a></span>
 ;<br/>

<a NAME="E3:9"/><i><font color="Green">E48</font></i>: 
( <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">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">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">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">x5</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x6</font> )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:9"/>
not <font color="Maroon">x7</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K4">{</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="enumset1.html#K4">}</a></span>
 
<b>by </b><i>, <a class="ref" href="zfmisc_1.html#T54">ZFMISC_1:54</a></i>;<br/>
<a NAME="E5:9"/><b>then </b>
( <font color="Maroon">x7</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x1</font> &amp; <font color="Maroon">x7</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x2</font> &amp; <font color="Maroon">x7</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x3</font> &amp; <font color="Maroon">x7</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x4</font> &amp; <font color="Maroon">x7</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x5</font> &amp; <font color="Maroon">x7</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x6</font> )
 
<b>by </b><i><a class="ref" href="enumset1.html#D4">ENUMSET1:def 4</a></i>;<br/>
<b>hence </b><a NAME="E6:9"/>
<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> 
 <b>by </b><i>, </i>;<br/>


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