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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th42</font></span>: <a NAME="T43"><span class="comment"><font color="firebrick">:: YELLOW16:43</font></span><br/></a><div class="add"> 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="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="waybel_0.html#V24" title="WAYBEL_0:attr.24">up-complete</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a> holds  <font color="Olive" title="b2">L</font> <a href="yellow_1.html#K5" title="YELLOW_1:func.5">|^</a> <font color="Olive" title="b1">X</font> is  <a href="waybel_0.html#V24" title="WAYBEL_0:attr.24">up-complete</a> </div></div>
