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

<b>let </b><font color="Maroon">X</font> be  <a href="finset_1.html#V1">infinite</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">A</font> be   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">X</font>;<br/>



<font color="Maroon">A</font> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="subset_1.html#K3">`</a> </span>)</span> = 
 <a href="subset_1.html#K2">[#]</a> <font color="Maroon">X</font>
<b>by </b><i><a class="ref" href="subset_1.html#T25">SUBSET_1:25</a></i>
<br/>.= 
<font color="Maroon">X</font>

;<br/>
<b>hence </b><a NAME="E2:50"/>
( <font color="Maroon">A</font> is <a href="finset_1.html#V1">finite</a> implies  not <font color="Maroon">A</font> <a href="subset_1.html#K3">`</a>  is <a href="finset_1.html#V1">finite</a> )
 <b>by </b><i><a class="ref" href="finset_1.html#T14">FINSET_1:14</a></i>;<br/>


</div>
