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<b>let </b><font color="Maroon">A</font> be  <a href="finset_1.html#V1">infinite</a> <a href="card_4.html#V1">countable</a>  <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:14"/>
not  <a href="card_1.html#K1">Card</a> <font color="Maroon">A</font> <a href="card_1.html#NR2" target="_self">&lt;`</a>  <a href="card_1.html#K3">alef</a> 0
 
<b>by </b><i><a class="ref" href="card_4.html#T2">CARD_4:2</a></i>;<br/>
<a NAME="E2:14"/><b>then </b><i><font color="Green">E25</font></i>: 
 <a href="card_1.html#K3">alef</a> 0 <a href="card_1.html#NR1" target="_self">&lt;=`</a>  <a href="card_1.html#K1">Card</a> <font color="Maroon">A</font>
 
<b>by </b><i><a class="ref" href="card_1.html#T14">CARD_1:14</a></i>;<br/>
<a NAME="E3:14"/>
 <a href="card_1.html#K1">Card</a> <font color="Maroon">A</font> <a href="card_1.html#NR1" target="_self">&lt;=`</a>  <a href="card_1.html#K3">alef</a> 0
 
<b>by </b><i><a class="ref" href="card_4.html#D1">CARD_4:def 1</a></i>;<br/>
<a NAME="E4:14"/><b>then </b>
 <a href="card_1.html#K1">Card</a> <a href="numbers.html#K5">NAT</a>  <a href="hidden.html#R1">=</a>  <a href="card_1.html#K1">Card</a> <font color="Maroon">A</font>
 
<b>by </b><i>, <a class="ref" href="card_1.html#T38">CARD_1:38</a>, <a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a></i>;<br/>
<b>hence </b><a NAME="E5:14"/>
 <a href="numbers.html#K5">NAT</a> ,<font color="Maroon">A</font> <a href="tarski.html#R2">are_equipotent</a> 
 <b>by </b><i><a class="ref" href="card_1.html#T21">CARD_1:21</a></i>;<br/>


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