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<span class="kw">take </span>
 <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a> 
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> (  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">M</font> &amp;  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  is  <a href="card_1.html#V1" title="CARD_1:attr.1">cardinal</a>  &amp; not  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  )</span><br/>

<a NAME="E1:34_1_1"/>
not <font color="Maroon" title="c1">M</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E2:34_1_1"/>
 <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">M</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal1.html#T26" title="ORDINAL1:th.26">ORDINAL1:26</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> (  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  is  <a href="card_1.html#V1" title="CARD_1:attr.1">cardinal</a>  &amp; not  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E3:34_1_1"/>
(  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  is  <a href="card_1.html#V1" title="CARD_1:attr.1">cardinal</a>  &amp; not  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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