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<b>let </b><font color="Maroon" title="c2">M</font>, <font color="Maroon" title="c3">N</font> be   <a href="card_1.html#NM1" title="CARD_1:NM.1">Cardinal</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">M</font> <a href="wellord2.html#R2" title="WELLORD2:pred.2">are_equipotent</a>  &amp; <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c3">N</font> <a href="wellord2.html#R2" title="WELLORD2:pred.2">are_equipotent</a>  implies <font color="Maroon" title="c2">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">N</font> )</span><br/>



<b>assume </b><b>that </b><br/><a NAME="E1:9_1_2"/><i><font color="Green" title="E4">A3</font></i>: 
<font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">M</font> <a href="wellord2.html#R2" title="WELLORD2:pred.2">are_equipotent</a> 
 <b>and </b><br/><a NAME="E2:9_1_2"/><i><font color="Green" title="E5">A4</font></i>: 
<font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c3">N</font> <a href="wellord2.html#R2" title="WELLORD2:pred.2">are_equipotent</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">N</font></span><br/>

<a NAME="E3:9_1_2"/>
<font color="Maroon" title="c2">M</font>,<font color="Maroon" title="c3">N</font> <a href="wellord2.html#R2" title="WELLORD2:pred.2">are_equipotent</a> 
 
<b>by </b><i><a class="txt" href="#E1:9_1_2"><i><font color="Green" title="E4">A3</font></i></a>, <a class="txt" href="#E2:9_1_2"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="wellord2.html#T22" title="WELLORD2:th.22">WELLORD2:22</a></i>;<br/>
<b>hence </b><a NAME="E4:9_1_2"/>
<font color="Maroon" title="c2">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">N</font>
 <b>by </b><i><a class="ref" href="card_1.html#T8" target="_self" title="CARD_1:th.8">Th8</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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