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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/>

<b>set </b><font color="Maroon">A1</font> = <font color="Maroon">W</font> <a href="waybel34.html#K4" target="_self">-INF_category</a> ;<br/>
<b>set </b><font color="Maroon">A2</font> = <font color="Maroon">W</font> <a href="waybel34.html#K5" target="_self">-SUP_category</a> ;<br/>
<b>reconsider </b><font color="Maroon">B1</font> = <font color="Maroon">W</font> <a href="waybel34.html#K10" target="_self">-CL_category</a>  as  non <a href="struct_0.html#V3">empty</a> <a href="altcat_2.html#NM2">subcategory</a> of <font color="Maroon">W</font> <a href="waybel34.html#K4" target="_self">-INF_category</a>  <b>by </b><i><a class="ref" href="altcat_4.html#T36">ALTCAT_4:36</a></i>;<br/>
<b>reconsider </b><font color="Maroon">B2</font> = <font color="Maroon">W</font> <a href="waybel34.html#K11" target="_self">-CL-opp_category</a>  as  non <a href="struct_0.html#V3">empty</a> <a href="altcat_2.html#NM2">subcategory</a> of <font color="Maroon">W</font> <a href="waybel34.html#K5" target="_self">-SUP_category</a>  <b>by </b><i><a class="ref" href="altcat_4.html#T36">ALTCAT_4:36</a></i>;<br/>
<a NAME="E3:85"/>
<font color="Maroon">W</font> <a href="waybel34.html#K10" target="_self">-CL_category</a> ,<font color="Maroon">W</font> <a href="waybel34.html#K11" target="_self">-CL-opp_category</a>  <a href="yellow20.html#R3">are_anti-isomorphic_under</a> <font color="Maroon">W</font> <a href="waybel34.html#K6" target="_self">LowerAdj</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E4:85"/><b>then </b>
<font color="Maroon">B2</font>,<font color="Maroon">B1</font> <a href="yellow20.html#R3">are_anti-isomorphic_under</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="functor0.html#K15">"</a> 
 
<b>by </b><i><a class="ref" href="yellow20.html#T52">YELLOW20:52</a></i>;<br/>
<b>hence </b><a NAME="E5:85"/>
<font color="Maroon">W</font> <a href="waybel34.html#K11" target="_self">-CL-opp_category</a> ,<font color="Maroon">W</font> <a href="waybel34.html#K10" target="_self">-CL_category</a>  <a href="yellow20.html#R3">are_anti-isomorphic_under</a> <font color="Maroon">W</font> <a href="waybel34.html#K7" target="_self">UpperAdj</a> 
 <b>by </b><i/>;<br/>


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