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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: WAYBEL32:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="waybel_0.html#V25" title="WAYBEL_0:attr.25">/\-complete</a>  <a href="waybel_0.html#NM6" title="WAYBEL_0:NM.6">Semilattice</a><br/>  for <font color="Olive" title="b2">N</font> being   <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a>   <a href="waybel_0.html#V8" title="WAYBEL_0:attr.8">monotone</a>  <a href="waybel_0.html#NM2" title="WAYBEL_0:NM.2">net</a> of <font color="Olive" title="b1">R</font> holds   <a href="waybel11.html#K1" title="WAYBEL11:func.1">lim_inf</a> <font color="Olive" title="b2">N</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel_2.html#K1" title="WAYBEL_2:func.1">sup</a> <font color="Olive" title="b2">N</font></div></div>
