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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:20"/><i><font color="Green">E5</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>and </b><br/><a NAME="E2:20"/><i><font color="Green">E6</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is <a href="finset_1.html#V1" target="_self">finite</a>
 ;<br/>

<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>2</sub></font> as  <a href="finset_1.html#V1" target="_self">finite</a>  <a href="hidden.html#M1">set</a>  <b>by </b><i><a class="txt" href="finset_1.html#E2:20"><i><font color="Green">E6</font></i></a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>1</sub></font> as   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="txt" href="finset_1.html#E1:20"><i><font color="Green">E5</font></i></a></i>;<br/>
<a NAME="E5:20"/>
<font color="Maroon">c<sub>4</sub></font> is <a href="finset_1.html#V1" target="_self">finite</a>
 
;<br/>
<b>hence </b><a NAME="E6:20"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1" target="_self">finite</a>
 ;<br/>


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