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<b>let </b><font color="Maroon">W</font> be  <a href="setfam_1.html#V2">with_non-empty_element</a>  <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:36"/>
( <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="waybel34.html#K6" target="_self">LowerAdj</a> </span>)</span> <a href="functor0.html#K15">"</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">W</font> <a href="waybel34.html#K7" target="_self">UpperAdj</a>  &amp; <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="waybel34.html#K7" target="_self">UpperAdj</a> </span>)</span> <a href="functor0.html#K15">"</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">W</font> <a href="waybel34.html#K6" target="_self">LowerAdj</a>  )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:36"/>
( <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="waybel34.html#K6" target="_self">LowerAdj</a> </span>)</span> <a href="functor0.html#K13">*</a> <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="waybel34.html#K7" target="_self">UpperAdj</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="functor0.html#K12">id</a> <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="waybel34.html#K5" target="_self">-SUP_category</a> </span>)</span> &amp; <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="waybel34.html#K7" target="_self">UpperAdj</a> </span>)</span> <a href="functor0.html#K13">*</a> <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="waybel34.html#K6" target="_self">LowerAdj</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="functor0.html#K12">id</a> <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="waybel34.html#K4" target="_self">-INF_category</a> </span>)</span> )
 <b>by </b><i><a class="ref" href="functor1.html#T21">FUNCTOR1:21</a></i>;<br/>


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