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

<b>assume </b><a NAME="E1:67_1_1"/><i><font color="Green" title="E41">A1</font></i>: 
 <a href="card_fil.html#K6" title="CARD_FIL:func.6">predecessor</a> <font color="Maroon" title="c1">M</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>
 ;<br/>

<a NAME="E2:67_1_1"/>
<font color="Maroon" title="c1">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K2" title="CARD_1:func.2">nextcard</a> <span class="p1">(<span class="default"><a href="card_fil.html#K6" title="CARD_FIL:func.6">predecessor</a> <font color="Maroon" title="c1">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="card_fil.html#D17" target="_self" title="CARD_FIL:def.17">Def17</a></i>;<br/>
<b>hence </b><a NAME="E3:67_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="card_fil.html#E1:67_1_1"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="card_1.html#T82" title="CARD_1:th.82">CARD_1:82</a></i>;<br/>


</div>
