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

<b>let </b><font color="Maroon" title="c1">T</font> be   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c3">B</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="tdlat_1.html#K9" title="TDLAT_1:func.9">Open_Domains_of</a> <font color="Maroon" title="c1">T</font>;<br/>



<a NAME="E1:53"/><i><font color="Green" title="E40">A1</font></i>: 
( <font color="Maroon" title="c2">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">D</font> where <font color="Olive" title="b1">D</font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font> : <font color="Olive" title="b1">D</font> is <a href="tops_1.html#V6" title="TOPS_1:attr.6">open_condensed</a> </span>}</span>  &amp; <font color="Maroon" title="c3">B</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">E</font> where <font color="Olive" title="b1">E</font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font> : <font color="Olive" title="b1">E</font> is <a href="tops_1.html#V6" title="TOPS_1:attr.6">open_condensed</a> </span>}</span>  )
 
;<br/>
<b>then consider </b><font color="Maroon" title="c4">D</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font><b> such that </b><br/><a NAME="E3:53"/><i><font color="Green" title="E41">A2</font></i>: 
( <font color="Maroon" title="c4">D</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">A</font> &amp; <font color="Maroon" title="c4">D</font> is <a href="tops_1.html#V6" title="TOPS_1:attr.6">open_condensed</a> )
 ;<br/>
<b>consider </b><font color="Maroon" title="c5">E</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font><b> such that </b><br/><a NAME="E5:53"/><i><font color="Green" title="E42">A3</font></i>: 
( <font color="Maroon" title="c5">E</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">B</font> &amp; <font color="Maroon" title="c5">E</font> is <a href="tops_1.html#V6" title="TOPS_1:attr.6">open_condensed</a> )
 <b>by </b><i><a class="txt" href="tdlat_1.html#E1:53"><i><font color="Green" title="E40">A1</font></i></a></i>;<br/>
<a NAME="E6:53"/>
<font color="Maroon" title="c4">D</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Maroon" title="c5">E</font> is <a href="tops_1.html#V6" title="TOPS_1:attr.6">open_condensed</a>
 
<b>by </b><i><a class="txt" href="tdlat_1.html#E3:53"><i><font color="Green" title="E41">A2</font></i></a>, <a class="txt" href="tdlat_1.html#E5:53"><i><font color="Green" title="E42">A3</font></i></a>, <a class="ref" href="tops_1.html#T109" title="TOPS_1:th.109">TOPS_1:109</a></i>;<br/>
<a NAME="E7:53"/><b>then </b>
<font color="Maroon" title="c2">A</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Maroon" title="c3">B</font> is <a href="tops_1.html#V4" title="TOPS_1:attr.4">condensed</a>
 
<b>by </b><i><a class="txt" href="tdlat_1.html#E3:53"><i><font color="Green" title="E41">A2</font></i></a>, <a class="txt" href="tdlat_1.html#E5:53"><i><font color="Green" title="E42">A3</font></i></a>, <a class="ref" href="tops_1.html#T107" title="TOPS_1:th.107">TOPS_1:107</a></i>;<br/>
<a NAME="E8:53"/><b>then </b><i><font color="Green" title="E43">A4</font></i>: 
<font color="Maroon" title="c2">A</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Maroon" title="c3">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Maroon" title="c3">B</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="tops_1.html#D6" title="TOPS_1:def.6">TOPS_1:def 6</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">A0</font> = <font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c7">B0</font> = <font color="Maroon" title="c3">B</font> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="tdlat_1.html#K1" title="TDLAT_1:func.1">Domains_of</a> <font color="Maroon" title="c1">T</font> ;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="tdlat_1.html#NK17" title="TDLAT_1:NK.17">OPD-Meet</a> <font color="Maroon" title="c1">T</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">B</font> = 
<font color="Maroon" title="c2">A</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Maroon" title="c3">B</font>
<b>by </b><i><a class="ref" href="tdlat_1.html#D11" target="_self" title="TDLAT_1:def.11">Def11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p3">(<span class="default"><font color="Maroon" title="c6">A0</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Maroon" title="c7">B0</font></span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">A0</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Maroon" title="c7">B0</font></span>)</span>
<b>by </b><i><a class="txt" href="tdlat_1.html#E8:53"><i><font color="Green" title="E43">A4</font></i></a>, <a class="ref" href="xboole_1.html#T28" title="XBOOLE_1:th.28">XBOOLE_1:28</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="tdlat_1.html#NK5" title="TDLAT_1:NK.5">D-Meet</a> <font color="Maroon" title="c1">T</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">B</font>
<b>by </b><i><a class="ref" href="tdlat_1.html#D3" target="_self" title="TDLAT_1:def.3">Def3</a></i>
;<br/>


</div>
