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<b>let </b><font color="Maroon">N</font> be   <a href="card_1.html#NM1">Cardinal</a>;<br/><b>let </b><font color="Maroon">M</font> be   <a href="card_1.html#NM1">Cardinal</a>;<br/>



<b>assume </b><a NAME="E1:68"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">N</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/>

<a NAME="E2:68"/>
( <font color="Maroon">N</font> <a href="hidden.html#R1">=</a> <font color="Maroon">N</font> &amp; <font color="Maroon">M</font> <a href="hidden.html#R1">=</a> <font color="Maroon">M</font> &amp;  <a href="card_1.html#K1">Card</a> <font color="Maroon">M</font> <a href="hidden.html#R1">=</a> <font color="Maroon">M</font> &amp;  <a href="card_1.html#K1">Card</a> <font color="Maroon">N</font> <a href="hidden.html#R1">=</a> <font color="Maroon">N</font> )
 
<b>by </b><i><a class="ref" href="card_1.html#D5">CARD_1:def 5</a></i>;<br/>
<a NAME="E3:68"/><b>then </b>
( <font color="Maroon">M</font> <a href="card_2.html#K2">*`</a> <font color="Maroon">N</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><font color="Maroon">M</font> <a href="ordinal2.html#K11">*^</a> <font color="Maroon">N</font></span>)</span> &amp; <font color="Maroon">N</font> <a href="card_2.html#K2">*`</a> <font color="Maroon">M</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><font color="Maroon">N</font> <a href="ordinal2.html#K11">*^</a> <font color="Maroon">M</font></span>)</span> &amp; <font color="Maroon">M</font> <a href="ordinal1.html#R1">c=</a> <font color="Maroon">M</font> <a href="ordinal2.html#K11">*^</a> <font color="Maroon">N</font> &amp; <font color="Maroon">M</font> <a href="ordinal1.html#R1">c=</a> <font color="Maroon">N</font> <a href="ordinal2.html#K11">*^</a> <font color="Maroon">M</font> &amp;  <a href="card_1.html#K1">Card</a> <font color="Maroon">M</font> <a href="hidden.html#R1">=</a> <font color="Maroon">M</font> )
 
<b>by </b><i>, <a class="ref" href="card_2.html#T25">CARD_2:25</a>, <a class="ref" href="ordinal3.html#T39">ORDINAL3:39</a></i>;<br/>
<b>hence </b><a NAME="E4:68"/>
( <font color="Maroon">M</font> <a href="card_1.html#NR1" target="_self">&lt;=`</a> <font color="Maroon">M</font> <a href="card_2.html#K2">*`</a> <font color="Maroon">N</font> &amp; <font color="Maroon">M</font> <a href="card_1.html#NR1" target="_self">&lt;=`</a> <font color="Maroon">N</font> <a href="card_2.html#K2">*`</a> <font color="Maroon">M</font> )
 <b>by </b><i><a class="ref" href="card_1.html#T27">CARD_1:27</a></i>;<br/>


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