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<b>let </b><font color="Maroon" title="c1">GX</font> be   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>;<br/>

<a NAME="E1:31"/><i><font color="Green" title="E13">A1</font></i>: 
<span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">GX</font></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">GX</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Maroon" title="c1">GX</font>
 
<b>by </b><i><a class="ref" href="pre_topc.html#T23" target="_self" title="PRE_TOPC:th.23">Th23</a></i>;<br/>
<a NAME="E2:31"/>
 <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Maroon" title="c1">GX</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c1">GX</font>
 
<b>by </b><i><a class="ref" href="pre_topc.html#T5" target="_self" title="PRE_TOPC:th.5">Th5</a></i>;<br/>
<a NAME="E3:31"/><b>then </b>
 <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Maroon" title="c1">GX</font> is <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>
 
<b>by </b><i><a class="ref" href="pre_topc.html#D5" target="_self" title="PRE_TOPC:def.5">Def5</a></i>;<br/>
<b>hence </b><a NAME="E4:31"/>
 <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">GX</font> is <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>
 <b>by </b><i><a class="txt" href="pre_topc.html#E1:31"><i><font color="Green" title="E13">A1</font></i></a>, <a class="ref" href="pre_topc.html#D6" target="_self" title="PRE_TOPC:def.6">Def6</a></i>;<br/>


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