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

<b>consider </b><font color="Maroon">Y</font> being  <a href="finset_1.html#V1">finite</a> <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">X</font>;<br/>
<b>assume </b><a NAME="E2:13_2_1"/>
for <font color="Olive">Y</font> being <a href="finset_1.html#V1">finite</a> <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">X</font>  ex <font color="Olive">a</font> being   <a href="hidden.html#M1">set</a>  st <br/>( ( for <font color="Olive">y</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">y</font> <a href="hidden.html#R2">in</a> <font color="Olive">Y</font> holds <br/><font color="Olive">a</font> <a href="tarski.html#R1">c=</a> <font color="Olive">y</font> ) &amp; <font color="Olive">a</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="cohsp_1.html#D5" target="_self">COHSP_1:def 5</a><br/>

<a NAME="E3:13_2_1"/><b>then </b>
 ex <font color="Olive">a</font> being   <a href="hidden.html#M1">set</a>  st <br/>( ( for <font color="Olive">y</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">y</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Y</font> holds <br/><font color="Olive">a</font> <a href="tarski.html#R1">c=</a> <font color="Olive">y</font> ) &amp; <font color="Olive">a</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font> )
 
;<br/>
<b>hence </b><a NAME="E4:13_2_1"/>
not <font color="Maroon">X</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>


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