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<b>let </b><font color="Maroon">a</font> be   <a href="card_5.html#NM1">Aleph</a>;<br/>

<b>assume </b><a NAME="E1:42"/><i><font color="Green">E23</font></i>: 
 <a href="card_5.html#K1" target="_self">cf</a> <font color="Maroon">a</font> <a href="card_1.html#NR2" target="_self">&lt;`</a> <font color="Maroon">a</font>
 ;<br/>

<b>given </b><font color="Maroon">M</font> being   <a href="card_1.html#NM1">Cardinal</a><b> such that </b><a NAME="E2:42"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K2">nextcard</a> <font color="Maroon">M</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="card_1.html#D7">CARD_1:def 7</a><br/>

<a NAME="E3:42"/>
 <a href="card_5.html#K1" target="_self">cf</a> <font color="Maroon">a</font> <a href="card_1.html#NR1" target="_self">&lt;=`</a> <font color="Maroon">M</font>
 
<b>by </b><i>, , <a class="ref" href="card_4.html#T23">CARD_4:23</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">M</font> = <font color="Maroon">M</font> as   <a href="card_5.html#NM1">Aleph</a> <b>by </b><i/>;<br/>
<a NAME="E5:42"/>
 <a href="card_1.html#K2">nextcard</a> <font color="Maroon">M</font> <a href="card_1.html#NR2" target="_self">&lt;`</a>  <a href="card_1.html#K2">nextcard</a> <font color="Maroon">M</font>
 
<b>by </b><i>, , <a class="txt" href="card_5.html#E2:42"><i><font color="Green">E24</font></i></a></i>;<br/>
<b>hence </b><a NAME="E6:42"/>
contradiction
 ;<br/>


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