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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: WAYBEL30:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">N</font> being   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>   <a href="waybel19.html#V2" title="WAYBEL19:attr.2">Lawson</a>  <a href="waybel_9.html#NM1" title="WAYBEL_9:NM.1">TopLattice</a> holds <br/> ( <font color="Olive" title="b1">N</font> is  <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a>  iff ( <font color="Olive" title="b1">N</font> is  <a href="waybel_2.html#V2" title="WAYBEL_2:attr.2">meet-continuous</a>  &amp; <font color="Olive" title="b1">N</font> is  <a href="compts_1.html#NV4" title="COMPTS_1:NV.4">Hausdorff</a>  ) )</div></div>
