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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="E1:39"/><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="E2:39"/>
<font color="Maroon">Y0</font> is <a href="tdlat_3.html#V3">almost_discrete</a>
 ;<br/>

<a NAME="E3:39"/><b>then </b>
for <font color="Olive">A</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">Y0</font>  st <font color="Olive">A</font> <a href="hidden.html#R2">in</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">Y0</font> holds <br/>the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y0</font> <a href="subset_1.html#K6">\</a> <font color="Olive">A</font> <a href="hidden.html#R2">in</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">Y0</font>
 
<b>by </b><i><a class="ref" href="tdlat_3.html#D3">TDLAT_3:def 3</a></i>;<br/>
<b>hence </b><a NAME="E4:39"/>
<font color="Maroon">Y1</font> is <a href="tdlat_3.html#V3">almost_discrete</a>
 <b>by </b><i>, <a class="ref" href="tdlat_3.html#D3">TDLAT_3:def 3</a></i>;<br/>


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