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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/>

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(  <a href="pcomps_1.html#K1">bool</a> <font color="Maroon">c<sub>1</sub></font> is <a href="prob_3.html#V2" target="_self">non-decreasing-closed</a> &amp;  <a href="pcomps_1.html#K1">bool</a> <font color="Maroon">c<sub>1</sub></font> is <a href="prob_3.html#V3" target="_self">non-increasing-closed</a> )
 
<b>by </b><i><a class="ref" href="prob_3.html#T73" target="_self">Th73</a></i>;<br/>
<b>hence </b><a NAME="E2:76"/>
 <a href="pcomps_1.html#K1">bool</a> <font color="Maroon">c<sub>1</sub></font> is    <a href="prob_3.html#M2" target="_self">MonotoneClass</a> of <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="prob_3.html#D14" target="_self">Def14</a></i>;<br/>


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