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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>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:95"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="pre_topc.html#V4">closed</a>
 ;<br/>

<a NAME="E2:95"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="subset_1.html#K3">`</a>  is <a href="pre_topc.html#V3">open</a>
 
<b>by </b><i><a class="ref" href="tops_1.html#T29" target="_self">Th29</a></i>;<br/>
<a NAME="E3:95"/><b>then </b>
 <a href="tops_1.html#K2" target="_self">Fr</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="subset_1.html#K3">`</a> </span>)</span> is <a href="tops_1.html#V3" target="_self">nowhere_dense</a>
 
<b>by </b><i><a class="ref" href="tops_1.html#T95" target="_self">Th95</a></i>;<br/>
<b>hence </b><a NAME="E4:95"/>
 <a href="tops_1.html#K2" target="_self">Fr</a> <font color="Maroon">c<sub>2</sub></font> is <a href="tops_1.html#V3" target="_self">nowhere_dense</a>
 ;<br/>


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