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<b>assume </b><a NAME="E1:67_1_1"/><i><font color="Green">E41</font></i>: 
 <a href="card_fil.html#K6" target="_self">predecessor</a> <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a>
 ;<br/>

<a NAME="E2:67_1_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K2">nextcard</a> <span class="p1">(<span class="default"><a href="card_fil.html#K6" target="_self">predecessor</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="card_fil.html#D17" target="_self">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">E41</font></i></a>, <a class="ref" href="card_1.html#T82">CARD_1:82</a></i>;<br/>


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