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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><a NAME="E1:41"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1" target="_self">finite</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="finset_1.html#V1" target="_self">finite</a> )
 ;<br/>

<a NAME="E2:41"/><b>then </b>
( <font color="Maroon">c<sub>1</sub></font> <a href="subset_1.html#K6">\</a> <font color="Maroon">c<sub>2</sub></font> is <a href="finset_1.html#V1" target="_self">finite</a> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="subset_1.html#K6">\</a> <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1" target="_self">finite</a> )
 
<b>by </b><i><a class="ref" href="finset_1.html#T16" target="_self">Th16</a></i>;<br/>
<a NAME="E3:41"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="subset_1.html#K6">\</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="subset_1.html#K6">\</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> is <a href="finset_1.html#V1" target="_self">finite</a>
 
<b>by </b><i><a class="txt" href="finset_1.html#E3"><i><font color="Green">Lemma3</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:41"/>
<font color="Maroon">c<sub>1</sub></font> <a href="xboole_0.html#K5">\+\</a> <font color="Maroon">c<sub>2</sub></font> is <a href="finset_1.html#V1" target="_self">finite</a>
 ;<br/>


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