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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: WAYBEL_9:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   <a href="compts_1.html#NV4" title="COMPTS_1:NV.4">Hausdorff</a>   <a href="compts_1.html#V1" title="COMPTS_1:attr.1">compact</a>  <a href="waybel_9.html#NM1" title="WAYBEL_9:NM.1">TopLattice</a>  st (  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">S</font> holds  <font color="Olive" title="b2">x</font> <a href="waybel_1.html#K4" title="WAYBEL_1:func.4">"/\"</a>  is  <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a>  ) holds <br/><font color="Olive" title="b1">S</font> is  <a href="waybel_2.html#V2" title="WAYBEL_2:attr.2">meet-continuous</a> </div></div>
