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<b>let </b><font color="Maroon">TS</font> be   <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">PS</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">TS</font>;<br/><b>let </b><font color="Maroon">QS</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">TS</font>;<br/>





<b>assume </b><a NAME="E1:17"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">TS</font> <a href="compts_1.html#NR2" target="_self">is_T2</a>  &amp; <font color="Maroon">PS</font> is <a href="compts_1.html#V6" target="_self">compact</a> &amp; <font color="Maroon">QS</font> is <a href="compts_1.html#V6" target="_self">compact</a> )
 ;<br/>

<a NAME="E2:17"/><b>then </b>
( <font color="Maroon">PS</font> is <a href="pre_topc.html#V4">closed</a> &amp; <font color="Maroon">QS</font> is <a href="pre_topc.html#V4">closed</a> )
 
<b>by </b><i/>;<br/>
<a NAME="E3:17"/><b>then </b><i><font color="Green">E33</font></i>: 
<font color="Maroon">PS</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">QS</font> is <a href="pre_topc.html#V4">closed</a>
 
<b>by </b><i><a class="ref" href="tops_1.html#T35">TOPS_1:35</a></i>;<br/>
<a NAME="E4:17"/>
<font color="Maroon">PS</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">QS</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">PS</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T17">XBOOLE_1:17</a></i>;<br/>
<b>hence </b><a NAME="E5:17"/>
<font color="Maroon">PS</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">QS</font> is <a href="compts_1.html#V6" target="_self">compact</a>
 <b>by </b><i>, , </i>;<br/>


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