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<b>let </b><font color="Maroon" title="c1">Y</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="tdlat_3.html#V4" title="TDLAT_3:attr.4">extremally_disconnected</a> <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="tdlat_1.html#K4" title="TDLAT_1:func.4">Domains_Lattice</a> <font color="Maroon" title="c1">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tdlat_1.html#K8" title="TDLAT_1:func.8">Closed_Domains_Lattice</a> <font color="Maroon" title="c1">Y</font></span><br/>

<a NAME="E1:66"/>
(  <a href="tdlat_1.html#K1" title="TDLAT_1:func.1">Domains_of</a> <font color="Maroon" title="c1">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tdlat_1.html#K5" title="TDLAT_1:func.5">Closed_Domains_of</a> <font color="Maroon" title="c1">Y</font> &amp;  <a href="tdlat_1.html#NK3" title="TDLAT_1:NK.3">D-Union</a> <font color="Maroon" title="c1">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tdlat_1.html#NK9" title="TDLAT_1:NK.9">CLD-Union</a> <font color="Maroon" title="c1">Y</font> &amp;  <a href="tdlat_1.html#NK5" title="TDLAT_1:NK.5">D-Meet</a> <font color="Maroon" title="c1">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tdlat_1.html#NK11" title="TDLAT_1:NK.11">CLD-Meet</a> <font color="Maroon" title="c1">Y</font> )
 
<b>by </b><i><a class="ref" href="tdlat_3.html#T41" target="_self" title="TDLAT_3:th.41">Th41</a>, <a class="ref" href="tdlat_3.html#T42" target="_self" title="TDLAT_3:th.42">Th42</a></i>;<br/>
<b>hence </b> <a href="tdlat_1.html#K4" title="TDLAT_1:func.4">Domains_Lattice</a> <font color="Maroon" title="c1">Y</font> = 
 <a href="lattices.html#G3" title="LATTICES:aggr.3">LattStr</a>(# <span class="p1">(<span class="default"><a href="tdlat_1.html#K5" title="TDLAT_1:func.5">Closed_Domains_of</a> <font color="Maroon" title="c1">Y</font></span>)</span>,<span class="p1">(<span class="default"><a href="tdlat_1.html#NK9" title="TDLAT_1:NK.9">CLD-Union</a> <font color="Maroon" title="c1">Y</font></span>)</span>,<span class="p1">(<span class="default"><a href="tdlat_1.html#NK11" title="TDLAT_1:NK.11">CLD-Meet</a> <font color="Maroon" title="c1">Y</font></span>)</span> #)
<b>by </b><i><a class="ref" href="tdlat_1.html#D4" title="TDLAT_1:def.4">TDLAT_1:def 4</a></i>
<br/>.= 
 <a href="tdlat_1.html#K8" title="TDLAT_1:func.8">Closed_Domains_Lattice</a> <font color="Maroon" title="c1">Y</font>
<b>by </b><i><a class="ref" href="tdlat_1.html#D8" title="TDLAT_1:def.8">TDLAT_1:def 8</a></i>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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