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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#R3" title="LATTICE4:pred.3">preserves_bottom</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#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">H</font></span>)</span> = 
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="openlatt.html#T34" target="_self" title="OPENLATT:th.34">Th34</a></span>
<br/>.= 
 <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</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#T10" target="_self" title="OPENLATT:th.10">Th10</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:60"/>
 <a href="openlatt.html#K18" title="OPENLATT:func.18">StoneH</a> <font color="Maroon" title="c1">H</font> <a href="lattice4.html#R3" title="LATTICE4:pred.3">preserves_bottom</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="lattice4.html#D8" title="LATTICE4:def.8">LATTICE4:def 8</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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