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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E31">Def12</font></span>   defines <a href="openlatt.html#K17" title="OPENLATT:func.17">HTopSpace</a> <a onclick="hs(this)" href="javascript:()">OPENLATT:def 12 : <br/></a><span> for <font color="Olive" title="b1">H</font> being   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><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a>   <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a>  holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="openlatt.html#K17" title="OPENLATT:func.17">HTopSpace</a> <font color="Olive" title="b1">H</font> iff (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="openlatt.html#K7" title="OPENLATT:func.7">F_primeSet</a> <font color="Olive" title="b1">H</font> &amp;  the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><a href="tarski.html#K3" title="TARSKI:func.3">union</a> <font color="Olive" title="b3">A</font></span>)</span> where <font color="Olive" title="b3">A</font> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="openlatt.html#K9" title="OPENLATT:func.9">StoneS</a> <font color="Olive" title="b1">H</font></span>)</span> : verum </span> } </span>  ) );<br/></span></div>
