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<b>let </b><font color="Maroon" title="c1">W</font> be  <a href="setfam_1.html#NV3" title="SETFAM_1:NV.3">with_non-empty_element</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>

<b>set </b><font color="Maroon" title="c2">A1</font> = <font color="Maroon" title="c1">W</font> <a href="waybel34.html#K4" title="WAYBEL34:func.4">-INF_category</a> ;<br/>
<b>set </b><font color="Maroon" title="c3">A2</font> = <font color="Maroon" title="c1">W</font> <a href="waybel34.html#K5" title="WAYBEL34:func.5">-SUP_category</a> ;<br/>
<b>reconsider </b><font color="Maroon" title="c4">B1</font> = <font color="Maroon" title="c1">W</font> <a href="waybel34.html#K10" title="WAYBEL34:func.10">-CL_category</a>  as  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="altcat_2.html#NM2" title="ALTCAT_2:NM.2">subcategory</a> of <font color="Maroon" title="c1">W</font> <a href="waybel34.html#K4" title="WAYBEL34:func.4">-INF_category</a>  <b>by </b><i><a class="ref" href="altcat_4.html#T36" title="ALTCAT_4:th.36">ALTCAT_4:36</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c5">B2</font> = <font color="Maroon" title="c1">W</font> <a href="waybel34.html#K11" title="WAYBEL34:func.11">-CL-opp_category</a>  as  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="altcat_2.html#NM2" title="ALTCAT_2:NM.2">subcategory</a> of <font color="Maroon" title="c1">W</font> <a href="waybel34.html#K5" title="WAYBEL34:func.5">-SUP_category</a>  <b>by </b><i><a class="ref" href="altcat_4.html#T36" title="ALTCAT_4:th.36">ALTCAT_4:36</a></i>;<br/>
<a NAME="E3:85"/>
<font color="Maroon" title="c5">B2</font>,<font color="Maroon" title="c4">B1</font> <a href="yellow20.html#R3" title="YELLOW20:pred.3">are_anti-isomorphic_under</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">W</font> <a href="waybel34.html#K6" title="WAYBEL34:func.6">LowerAdj</a> </span>)</span> <a href="functor0.html#K15" title="FUNCTOR0:func.15">"</a> 
 
<b>by </b><i><a class="ref" href="waybel34.html#T58" target="_self" title="WAYBEL34:th.58">Th58</a>, <a class="ref" href="yellow20.html#T52" title="YELLOW20:th.52">YELLOW20:52</a></i>;<br/>
<b>hence </b><a NAME="E4:85"/>
<font color="Maroon" title="c1">W</font> <a href="waybel34.html#K11" title="WAYBEL34:func.11">-CL-opp_category</a> ,<font color="Maroon" title="c1">W</font> <a href="waybel34.html#K10" title="WAYBEL34:func.10">-CL_category</a>  <a href="yellow20.html#R3" title="YELLOW20:pred.3">are_anti-isomorphic_under</a> <font color="Maroon" title="c1">W</font> <a href="waybel34.html#K7" title="WAYBEL34:func.7">UpperAdj</a> 
 <b>by </b><i><a class="ref" href="waybel34.html#T18" target="_self" title="WAYBEL34:th.18">Th18</a></i>;<br/>


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