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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="card_5.html#NM1">Aleph</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:34"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is <a href="card_lar.html#V1" target="_self">unbounded</a>
 ;<br/>

<b>assume </b><a NAME="E2:34"/>
not  <a href="card_5.html#K1">cf</a> <font color="Maroon">c<sub>1</sub></font> <a href="card_1.html#NR1" target="_self">&lt;=`</a>  <a href="card_1.html#K1">Card</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E3:34"/><b>then </b>
 <a href="card_1.html#K1">Card</a> <font color="Maroon">c<sub>2</sub></font> <a href="card_1.html#NR2" target="_self">&lt;`</a>  <a href="card_5.html#K1">cf</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="ordinal1.html#T26">ORDINAL1:26</a></i>;<br/>
<a NAME="E4:34"/><b>then </b><i><font color="Green">E27</font></i>: 
 <a href="ordinal2.html#K3">sup</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="card_5.html#T38">CARD_5:38</a></i>;<br/>
<a NAME="E5:34"/>
 <a href="ordinal2.html#K3">sup</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_lar.html#E1:34"><i><font color="Green">E26</font></i></a>, <a class="ref" href="card_lar.html#D4" target="_self">Def4</a></i>;<br/>
<b>hence </b><a NAME="E6:34"/>
contradiction
 <b>by </b><i><a class="txt" href="card_lar.html#E4:34"><i><font color="Green">E27</font></i></a></i>;<br/>


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