<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="tdlat_3.html#V4" target="_self">extremally_disconnected</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/>

<a NAME="E1:65"/><i><font color="Green">E33</font></i>: 
 <a href="tdlat_1.html#K1">Domains_of</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="tdlat_1.html#K5">Closed_Domains_of</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="tdlat_3.html#T41" target="_self">Th41</a></i>;<br/>
<b>hence </b> <a href="tdlat_1.html#NK3" target="_self">D-Union</a> <font color="Maroon">c<sub>1</sub></font> = 
<span class="p1">(<span class="default"><a href="tdlat_1.html#NK3" target="_self">D-Union</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="realset1.html#K1">||</a> <span class="p1">(<span class="default"><a href="tdlat_1.html#K5">Closed_Domains_of</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="funct_2.html#T40">FUNCT_2:40</a></i>
<br/>.= 
 <a href="tdlat_1.html#NK9" target="_self">CLD-Union</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="tdlat_1.html#T39">TDLAT_1:39</a></i>
;<br/><br/>

<b>thus </b> <a href="tdlat_1.html#NK5" target="_self">D-Meet</a> <font color="Maroon">c<sub>1</sub></font> = 
<span class="p1">(<span class="default"><a href="tdlat_1.html#NK5" target="_self">D-Meet</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="realset1.html#K1">||</a> <span class="p1">(<span class="default"><a href="tdlat_1.html#K5">Closed_Domains_of</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="tdlat_3.html#E1:65"><i><font color="Green">E33</font></i></a>, <a class="ref" href="funct_2.html#T40">FUNCT_2:40</a></i>
<br/>.= 
 <a href="tdlat_1.html#NK11" target="_self">CLD-Meet</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="tdlat_1.html#T40">TDLAT_1:40</a></i>
;<br/>


</div>
