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<b>let </b><font color="Maroon">T</font> be  <a href="waybel_0.html#V24">up-complete</a> <a href="waybel11.html#V4" target="_self">Scott</a> <a href="waybel_9.html#NM1">TopLattice</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">T</font>;<br/>



<a NAME="E1:33"/>
 <a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">x</font> is <a href="pre_topc.html#V4">closed</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:33"/>
<span class="p1">(<span class="default"><a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">x</font></span>)</span> <a href="subset_1.html#K3">`</a>  is <a href="pre_topc.html#V3">open</a>
 <b>by </b><i><a class="ref" href="tops_1.html#T29">TOPS_1:29</a></i>;<br/>


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