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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">y</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">Y</font>;<br/>



<b>assume </b><a NAME="E1:49"/>
 <a href="tex_2.html#K1" target="_self">Sspace</a> <font color="Maroon">y</font> is <a href="pre_topc.html#V2">TopSpace-like</a>
 ;<br/>

<a NAME="E2:49"/><b>then </b>
 <a href="tex_2.html#K1" target="_self">Sspace</a> <font color="Maroon">y</font> is  non <a href="struct_0.html#V3">empty</a> <a href="realset2.html#V3">trivial</a> <a href="pre_topc.html#NM1">TopSpace</a>
 
;<br/>
<b>hence </b><a NAME="E3:49"/>
(  <a href="tex_2.html#K1" target="_self">Sspace</a> <font color="Maroon">y</font> is <a href="tdlat_3.html#V1">discrete</a> &amp;  <a href="tex_2.html#K1" target="_self">Sspace</a> <font color="Maroon">y</font> is <a href="tdlat_3.html#V2">anti-discrete</a> )
 ;<br/>


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