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<b>let </b><font color="Maroon">Y0</font> be    <a href="pre_topc.html#L1">TopStruct</a> , <font color="Maroon">Y1</font> be    <a href="pre_topc.html#L1">TopStruct</a> ;<br/>

<b>assume </b><a NAME="E1:37"/><i><font color="Green">E17</font></i>: 
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y0</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">Y0</font> #) <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y1</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">Y1</font> #)
 ;<br/>

<b>assume </b><a NAME="E2:37"/>
<font color="Maroon">Y0</font> is <a href="tdlat_3.html#V2">anti-discrete</a>
 ;<br/>

<a NAME="E3:37"/><b>then </b>
the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">Y0</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">Y0</font></span><a href="tarski.html#K2">}</a></span>
 
<b>by </b><i><a class="ref" href="tdlat_3.html#D2">TDLAT_3:def 2</a></i>;<br/>
<b>hence </b><a NAME="E4:37"/>
<font color="Maroon">Y1</font> is <a href="tdlat_3.html#V2">anti-discrete</a>
 <b>by </b><i>, <a class="ref" href="tdlat_3.html#D2">TDLAT_3:def 2</a></i>;<br/>


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