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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/>











<a NAME="E1:60"/>
(  <a href="card_1.html#K4">card</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">x1</font></span><a href="tarski.html#K1">}</a></span> <a href="hidden.html#R1">=</a> 1 &amp; <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="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">x1</font></span><a href="tarski.html#K1">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="enumset1.html#K3">{</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></span><a href="enumset1.html#K3">}</a></span> &amp; <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">x1</font></span><a href="tarski.html#K1">}</a></span> is <a href="finset_1.html#V1">finite</a> &amp; <span class="p1"><a href="enumset1.html#K3">{</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></span><a href="enumset1.html#K3">}</a></span> is <a href="finset_1.html#V1">finite</a> &amp;  <a href="card_1.html#K4">card</a> <span class="p1"><a href="enumset1.html#K3">{</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></span><a href="enumset1.html#K3">}</a></span> <a href="xxreal_0.html#R1">&lt;=</a> 5 )
 
<b>by </b><i><a class="ref" href="card_2.html#T5" target="_self">Th5</a>, <a class="ref" href="card_1.html#T79">CARD_1:79</a>, <a class="ref" href="enumset1.html#T51">ENUMSET1:51</a></i>;<br/>
<a NAME="E2:60"/><b>then </b>
( 1 <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2"><a href="enumset1.html#K3">{</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></span><a href="enumset1.html#K3">}</a></span></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> 1 <a href="nat_1.html#K1">+</a> 5 &amp;  <a href="card_1.html#K4">card</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> <a href="xxreal_0.html#R1">&lt;=</a> 1 <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2"><a href="enumset1.html#K3">{</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></span><a href="enumset1.html#K3">}</a></span></span>)</span> )
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<b>hence </b><a NAME="E3:60"/>
 <a href="card_1.html#K4">card</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> <a href="xxreal_0.html#R1">&lt;=</a> 6
 <b>by </b><i><a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>


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