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<a NAME="E1:204_1_1"/>
for <font color="Olive" title="b1">X</font> being non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="waybel_0.html#V1" title="WAYBEL_0:attr.1">directed</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <a href="abcmiz_1.html#K49" title="ABCMIZ_1:func.49">VarPoset</a>  holds   <a href="yellow_0.html#R1" title="YELLOW_0:pred.1">ex_sup_of</a> <font color="Olive" title="b1">X</font>, <a href="abcmiz_1.html#K49" title="ABCMIZ_1:func.49">VarPoset</a> 
 
<b>by </b><i><a class="ref" href="abcmiz_1.html#T112" target="_self" title="ABCMIZ_1:th.112">Th24</a></i>;<br/>
<b>hence </b><a NAME="E2:204_1_1"/>
 <a href="abcmiz_1.html#K49" title="ABCMIZ_1:func.49">VarPoset</a>  is <a href="waybel_0.html#V24" title="WAYBEL_0:attr.24">up-complete</a>
 <b>by </b><i><a class="ref" href="waybel_0.html#T75" title="WAYBEL_0:th.75">WAYBEL_0:75</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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