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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th53</font></span>: <a NAME="T53"><span class="comment"><font color="firebrick">:: WAYBEL_2:53</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="waybel_0.html#V24" title="WAYBEL_0:attr.24">up-complete</a>  <a href="waybel_0.html#NM6" title="WAYBEL_0:NM.6">Semilattice</a> holds <br/> ( <font color="Olive" title="b1">L</font> is  <a href="waybel_2.html#V2" title="WAYBEL_2:attr.2">meet-continuous</a>  iff  <a href="waybel_2.html#K4" title="WAYBEL_2:func.4">inf_op</a> <font color="Olive" title="b1">L</font> is  <a href="waybel_0.html#V22" title="WAYBEL_0:attr.22">directed-sups-preserving</a>  )</div></div>
