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<b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="pre_topc.html#NM1">TopSpace</a>;<br/>

<b>assume </b><a NAME="E1:32_1_1"/>
<font color="Maroon">c<sub>3</sub></font> is <a href="struct_0.html#V3">empty</a>
 ;<br/>

<a NAME="E2:32_1_1"/><b>then </b>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="struct_0.html#D1">STRUCT_0:def 1</a></i>;<br/>
<a NAME="E3:32_1_1"/><b>then </b>
 <a href="zfmisc_1.html#K1">bool</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> ,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font></span><a href="tarski.html#K2">}</a></span>
 
<b>by </b><i><a class="ref" href="enumset1.html#T69">ENUMSET1:69</a>, <a class="ref" href="zfmisc_1.html#T1">ZFMISC_1:1</a></i>;<br/>
<b>hence </b><a NAME="E4:32_1_1"/>
( <font color="Maroon">c<sub>3</sub></font> is <a href="tdlat_3.html#V1">discrete</a> &amp; <font color="Maroon">c<sub>3</sub></font> is <a href="tdlat_3.html#V2">anti-discrete</a> )
 <b>by </b><i><a class="ref" href="tdlat_3.html#T16">TDLAT_3:16</a></i>;<br/>


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