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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="funct_1.html#NM1">Function</a>;<br/>

<b>assume </b><a NAME="E1:54"/><i><font color="Green">E43</font></i>: 
( not  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="funct_1.html#V2">one-to-one</a> )
 ;<br/>

<a NAME="E2:54"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font>, <a href="relat_1.html#K2">rng</a> <font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R2">are_equipotent</a> 
 
<b>by </b><i><a class="ref" href="wellord2.html#D4">WELLORD2:def 4</a></i>;<br/>
<b>hence </b><a NAME="E3:54"/>
not  <a href="relat_1.html#K2">rng</a> <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a>
 <b>by </b><i><a class="txt" href="frechet2.html#E1:54"><i><font color="Green">E43</font></i></a>, <a class="ref" href="card_1.html#T68">CARD_1:68</a></i>;<br/>


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