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<b>let </b><font color="Maroon">c<sub>2</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>

<b>assume </b><a NAME="E1:57_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="tdlat_3.html#V2">anti-discrete</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>2</sub></font> as  non <a href="struct_0.html#V3">empty</a> <a href="tdlat_3.html#V1">discrete</a> <a href="tdlat_3.html#V2">anti-discrete</a>  <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">c<sub>1</sub></font> ;<br/>
<a NAME="E3:57_1_1"/>
<font color="Maroon">c<sub>3</sub></font> is <a href="realset2.html#V3">trivial</a>
 
;<br/>
<b>hence </b><a NAME="E4:57_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="realset2.html#V3">trivial</a>
 ;<br/>


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