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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: WAYBEL32:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   <a href="waybel_0.html#V24" title="WAYBEL_0:attr.24">up-complete</a>   <a href="waybel_0.html#V25" title="WAYBEL_0:attr.25">/\-complete</a>  <a href="waybel_0.html#NM6" title="WAYBEL_0:NM.6">Semilattice</a><br/>  for <font color="Olive" title="b2">T</font> being   <a href="waybel11.html#V4" title="WAYBEL11:attr.4">Scott</a>   <a href="yellow_9.html#M1" title="YELLOW_9:mode.1">TopAugmentation</a> of <font color="Olive" title="b1">S</font> holds   <a href="waybel11.html#K5" title="WAYBEL11:func.5">sigma</a> <font color="Olive" title="b1">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Olive" title="b2">T</font></div></div>
