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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/>

<a NAME="E1:7"/>
( ( <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> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> ) or  not <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a> )
 
<b>by </b><i><a class="ref" href="card_1.html#D5">CARD_1:def 5</a></i>;<br/>
<b>hence </b><a NAME="E2:7"/>
( ex <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K1">Card</a> <font color="Olive">b<sub>1</sub></font> or ex <font color="Olive">b<sub>1</sub></font> being  <a href="ordinal1.html#NM2">Ordinal</a> st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K3">alef</a> <font color="Olive">b<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="card_5.html#T12" target="_self">Th12</a>, <a class="ref" href="card_4.html#T4">CARD_4:4</a></i>;<br/>


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