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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="setfam_1.html#V2">with_non-empty_element</a>  <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:83"/>
<font color="Maroon">c<sub>1</sub></font> <a href="waybel34.html#K8" target="_self">-INF(SC)_category</a> ,<font color="Maroon">c<sub>1</sub></font> <a href="waybel34.html#K9" target="_self">-SUP(SO)_category</a>  <a href="yellow20.html#R3">are_anti-isomorphic_under</a> <font color="Maroon">c<sub>1</sub></font> <a href="waybel34.html#K6" target="_self">LowerAdj</a> 
 
<b>by </b><i><a class="ref" href="waybel34.html#T56" target="_self">Th56</a></i>;<br/>
<a NAME="E2:83"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="waybel34.html#K9" target="_self">-SUP(SO)_category</a> ,<font color="Maroon">c<sub>1</sub></font> <a href="waybel34.html#K8" target="_self">-INF(SC)_category</a>  <a href="yellow20.html#R3">are_anti-isomorphic_under</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></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="E3:83"/>
<font color="Maroon">c<sub>1</sub></font> <a href="waybel34.html#K9" target="_self">-SUP(SO)_category</a> ,<font color="Maroon">c<sub>1</sub></font> <a href="waybel34.html#K8" target="_self">-INF(SC)_category</a>  <a href="yellow20.html#R3">are_anti-isomorphic_under</a> <font color="Maroon">c<sub>1</sub></font> <a href="waybel34.html#K7" target="_self">UpperAdj</a> 
 <b>by </b><i><a class="ref" href="waybel34.html#T18" target="_self">Th18</a></i>;<br/>


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