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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: WAYBEL23:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="waybel_0.html#NM7" title="WAYBEL_0:NM.7">sup-Semilattice</a><br/>  for <font color="Olive" title="b2">S</font> being   <a href="waybel23.html#V2" title="WAYBEL23:attr.2">join-closed</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font> holds  <font color="Olive" title="b2">S</font> is  <a href="waybel_0.html#V1" title="WAYBEL_0:attr.1">directed</a> </div></div>
