<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">H</font> be  non <a href="realset2.html#V3">trivial</a> <a href="lattice2.html#NM2">H_Lattice</a>;<br/>

<span class="p1">(<span class="default"><a href="openlatt.html#K18" target="_self">StoneH</a> <font color="Maroon">H</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="lattices.html#K6">Top</a> <font color="Maroon">H</font></span>)</span> = 
 <a href="openlatt.html#K7" target="_self">F_primeSet</a> <font color="Maroon">H</font>
<b>by </b><i/>
<br/>.= 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="openlatt.html#K17" target="_self">HTopSpace</a> <font color="Maroon">H</font></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="lattices.html#K6">Top</a> <span class="p1">(<span class="default"><a href="openlatt.html#K6" target="_self">Open_setLatt</a> <span class="p2">(<span class="default"><a href="openlatt.html#K17" target="_self">HTopSpace</a> <font color="Maroon">H</font></span>)</span></span>)</span>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:58"/>
 <a href="openlatt.html#K18" target="_self">StoneH</a> <font color="Maroon">H</font> <a href="lattice4.html#R2">preserves_top</a> 
 <b>by </b><i><a class="ref" href="lattice4.html#D7">LATTICE4:def 7</a></i>;<br/>


</div>
