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<b>reconsider </b><font color="Maroon">F</font> =  <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">X</font> as  non <a href="xboole_0.html#V1">empty</a> <a href="setfam_1.html#NM1">Subset-Family</a> of <font color="Maroon">X</font> <b>by </b><i><a class="ref" href="zfmisc_1.html#D1">ZFMISC_1:def 1</a></i>;<br/>
<b>take </b>
<font color="Maroon">F</font>
;<br/>

<b>thus </b><a NAME="E2:31_1_1"/>
( ( for <font color="Olive">A</font> being  <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">X</font>  st <font color="Olive">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> holds <br/><font color="Olive">A</font> <a href="subset_1.html#K3">`</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> ) &amp; ( for <font color="Olive">A1</font> being  <a href="prob_1.html#NM2">SetSequence</a> of <font color="Maroon">X</font>  st ( for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Olive">A1</font> <a href="prob_1.html#K1" target="_self">.</a> <font color="Olive">n</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> ) holds <br/> <a href="prob_1.html#K4" target="_self">Intersection</a> <font color="Olive">A1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> ) )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="prob_1.html#D1" target="_self">PROB_1:def 1</a>,<a class="ref" href="prob_1.html#D8" target="_self">PROB_1:def 8</a><br/>

<b>thus </b><a NAME="E3:31_1_1"/>
not <font color="Maroon">F</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>


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