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<b>let </b><font color="Maroon">Y</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="pre_topc.html#L1">TopStruct</a> ;<br/><b>let </b><font color="Maroon">A</font> be  <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">Y</font>;<br/>



<a NAME="E1:18"/>
for <font color="Olive">G</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">Y</font>  holds <br/>(  not <font color="Olive">G</font> is <a href="pre_topc.html#V3">open</a> or <font color="Maroon">A</font> <a href="xboole_0.html#R1">misses</a> <font color="Olive">G</font> or <font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Olive">G</font> )
 
<b>by </b><i><a class="ref" href="xboole_1.html#T65">XBOOLE_1:65</a></i>;<br/>
<b>hence </b><a NAME="E2:18"/>
<font color="Maroon">A</font> is <a href="tex_4.html#V1" target="_self">anti-discrete</a>
 <b>by </b><i/>;<br/>


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