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<span class="kw">let </span><font color="Maroon" title="c1">H</font> be  non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>  <a href="lattice2.html#NM2" title="LATTICE2:NM.2">H_Lattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="openlatt.html#K18" title="OPENLATT:func.18">StoneH</a> <font color="Maroon" title="c1">H</font> <a href="lattice4.html#R2" title="LATTICE4:pred.2">preserves_top</a> </span><br/>

<span class="p1">(<span class="default"><a href="openlatt.html#K18" title="OPENLATT:func.18">StoneH</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">H</font></span>)</span> = 
 <a href="openlatt.html#K7" title="OPENLATT:func.7">F_primeSet</a> <font color="Maroon" title="c1">H</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="openlatt.html#T33" target="_self" title="OPENLATT:th.33">Th33</a></span>
<br/>.= 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="openlatt.html#K17" title="OPENLATT:func.17">HTopSpace</a> <font color="Maroon" title="c1">H</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="openlatt.html#D12" target="_self" title="OPENLATT:def.12">Def12</a></span>
<br/>.= 
 <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <span class="p1">(<span class="default"><a href="openlatt.html#K6" title="OPENLATT:func.6">Open_setLatt</a> <span class="p2">(<span class="default"><a href="openlatt.html#K17" title="OPENLATT:func.17">HTopSpace</a> <font color="Maroon" title="c1">H</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="openlatt.html#T11" target="_self" title="OPENLATT:th.11">Th11</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:59"/>
 <a href="openlatt.html#K18" title="OPENLATT:func.18">StoneH</a> <font color="Maroon" title="c1">H</font> <a href="lattice4.html#R2" title="LATTICE4:pred.2">preserves_top</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="lattice4.html#D7" title="LATTICE4:def.7">LATTICE4:def 7</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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