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<span class="kw">let </span><font color="Maroon" title="c1">iC</font> be   <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a>  <a href="card_1.html#NM1" title="CARD_1:NM.1">Cardinal</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>  <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">iC</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">iC</font></span><br/>

<a NAME="E1:26"/>
 <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Maroon" title="c1">iC</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_3.html#T102" title="CARD_3:th.102">CARD_3:102</a></span>;<br/>
<a NAME="E2:26"/><span class="kw">then </span><span class="lab"><font color="Green" title="E14">A1</font></span>: 
<a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">iC</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Maroon" title="c1">iC</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">iC</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_3.html#T136" title="CARD_3:th.136">CARD_3:136</a></span>;<br/>
<a NAME="E3:26"/>
( <font color="Maroon" title="c1">iC</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">iC</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">iC</font> &amp; <font color="Maroon" title="c1">iC</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">iC</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_3.html#T141" title="CARD_3:th.141">CARD_3:141</a>, <a class="ref" href="card_4.html#T77" title="CARD_4:th.77">CARD_4:77</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:26"/>
<a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">iC</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">iC</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:26"><span class="lab"><font color="Green" title="E14">A1</font></span></a>, <a class="ref" href="xboole_0.html#D10" title="XBOOLE_0:def.10">XBOOLE_0:def 10</a></span>; <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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