<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: WAYBEL27:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>   <a href="waybel11.html#V4" title="WAYBEL11:attr.4">Scott</a>  <a href="waybel_9.html#NM1" title="WAYBEL_9:NM.1">TopLattice</a> holds   <a href="waybel26.html#K1" title="WAYBEL26:func.1">oContMaps</a> (<font color="Olive" title="b1">S</font>,<a href="waybel18.html#K9" title="WAYBEL18:func.9">Sierpinski_Space</a>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel27.html#K2" title="WAYBEL27:func.2">UPS</a> (<font color="Olive" title="b1">S</font>,<span class="p1">(<span class="default"><a href="yellow_1.html#K2" title="YELLOW_1:func.2">BoolePoset</a> <span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span>)</div></div>
