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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: WAYBEL30:12</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><br/>  for <font color="Olive" title="b2">X</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">N</font> holds <br/> ( <font color="Olive" title="b2">X</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="waybel19.html#K2" title="WAYBEL19:func.2">lambda</a> <font color="Olive" title="b1">N</font> iff <font color="Olive" title="b2">X</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="waybel30.html#T9" target="_self" onmouseover="rs('waybel30/T9')" onmouseout="rh()">Th9</a></span>;<br/></div></div>
