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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="card_1.html#NM1">Cardinal</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="card_5.html#NM1">Aleph</a>;<br/>



<b>assume </b><a NAME="E1:26"/><i><font color="Green">E21</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="card_1.html#NR1" target="_self">&lt;=`</a> <font color="Maroon">c<sub>1</sub></font> or <font color="Maroon">c<sub>2</sub></font> <a href="card_1.html#NR2" target="_self">&lt;`</a> <font color="Maroon">c<sub>1</sub></font> )
 ;<br/>

<a NAME="E2:26"/><b>then </b>
( not <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a> &amp;  <a href="card_1.html#K1">Card</a> 0 <a href="card_1.html#NR2" target="_self">&lt;`</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="card_1.html#K1">Card</a> 0 <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i><a class="ref" href="card_5.html#T25" target="_self">Th25</a>, <a class="ref" href="card_5.html#T26" target="_self">Th26</a>, <a class="ref" href="card_1.html#D5">CARD_1:def 5</a></i>;<br/>
<b>hence </b><a NAME="E3:26"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="card_2.html#K1">+`</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="card_2.html#K1">+`</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="card_2.html#K2">*`</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="card_2.html#K2">*`</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="txt" href="card_5.html#E1:26"><i><font color="Green">E21</font></i></a>, <a class="ref" href="card_4.html#T34">CARD_4:34</a>, <a class="ref" href="card_4.html#T78">CARD_4:78</a></i>;<br/>


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