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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="pre_topc.html#NM1">TopSpace</a>;<br/>

<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="tdlat_1.html#K4" target="_self">Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>3</sub></font> =  <a href="tdlat_1.html#K12" target="_self">Open_Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font>;<br/>
<b>thus </b><a NAME="E1:61"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tdlat_1.html#K12" target="_self">Open_Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tdlat_1.html#K4" target="_self">Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="nat_lat.html#D16">NAT_LAT:def 16</a><br/>

<b>thus </b><a NAME="E2:61"/>
the <a href="lattices.html#U2">L_join</a> of <span class="p1">(<span class="default"><a href="tdlat_1.html#K12" target="_self">Open_Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="lattices.html#U2">L_join</a> of <span class="p1">(<span class="default"><a href="tdlat_1.html#K4" target="_self">Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="realset1.html#K1">||</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tdlat_1.html#K12" target="_self">Open_Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="tdlat_1.html#T42" target="_self">Th42</a></i>;<br/>

<b>thus </b><a NAME="E3:61"/>
the <a href="lattices.html#U1">L_meet</a> of <span class="p1">(<span class="default"><a href="tdlat_1.html#K12" target="_self">Open_Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="lattices.html#U1">L_meet</a> of <span class="p1">(<span class="default"><a href="tdlat_1.html#K4" target="_self">Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="realset1.html#K1">||</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tdlat_1.html#K12" target="_self">Open_Domains_Lattice</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="tdlat_1.html#T43" target="_self">Th43</a></i>;<br/>


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