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

<b>let </b><font color="Maroon">X</font> be  <a href="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:60"/>
 <a href="card_1.html#K4">card</a> <font color="Maroon">X</font>,<font color="Maroon">X</font> <a href="tarski.html#R2">are_equipotent</a> 
 
<b>by </b><i><a class="ref" href="card_1.html#D5">CARD_1:def 5</a></i>;<br/>
<b>then consider </b><font color="Maroon">P</font> being   <a href="funct_1.html#NM1">Function</a><b> such that </b><br/><a NAME="E3:60"/><i><font color="Green">E47</font></i>: 
( <font color="Maroon">P</font> is <a href="funct_1.html#V2">one-to-one</a> &amp;  <a href="relat_1.html#K1">dom</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K4">card</a> <font color="Maroon">X</font> &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> <font color="Maroon">X</font> )
 <b>by </b><i><a class="ref" href="wellord2.html#D4">WELLORD2:def 4</a></i>;<br/>
<a NAME="E4:60"/>
<font color="Maroon">P</font> is   <a href="funct_2.html#NM1">Function</a> of  <a href="card_1.html#K4">card</a> <font color="Maroon">X</font>,<font color="Maroon">X</font>
 
<b>by </b><i><a class="ref" href="card_fin.html#T2" target="_self">Th2</a>, <a class="ref" href="funct_2.html#T3">FUNCT_2:3</a></i>;<br/>
<b>hence </b><a NAME="E5:60"/>
 ex <font color="Olive">P</font> being  <a href="funct_2.html#NM1">Function</a> of  <a href="card_1.html#K4">card</a> <font color="Maroon">X</font>,<font color="Maroon">X</font> st <font color="Olive">P</font> is <a href="funct_1.html#V2">one-to-one</a>
 <b>by </b><i><a class="ref" href="card_fin.html#T2" target="_self">Th2</a></i>;<br/>


</div>
