<?xml version="1.0"?>
<div class="add">

<a NAME="E1:30_1_1"/>
( not <font color="Maroon" title="c1">a</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> &amp; <font color="Maroon" title="c1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="card_1.html#K2" title="CARD_1:func.2">nextcard</a> <font color="Maroon" title="c1">a</font> )
 
<b>by </b><i><a class="ref" href="card_1.html#T32" title="CARD_1:th.32">CARD_1:32</a></i>;<br/>
<a NAME="E2:30_1_1"/><b>then </b>
 <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="card_1.html#K2" title="CARD_1:func.2">nextcard</a> <font color="Maroon" title="c1">a</font>
 
;<br/>
<b>hence </b><a NAME="E3:30_1_1"/>
not  <a href="card_1.html#K2" title="CARD_1:func.2">nextcard</a> <font color="Maroon" title="c1">a</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>
 <b>by </b><i><a class="ref" href="card_3.html#T102" title="CARD_3:th.102">CARD_3:102</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
