<?xml version="1.0"?>
<div class="add">

<b>consider </b><font color="Maroon">T</font> being  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#V1">strict</a> non <a href="realset2.html#V3">trivial</a> <a href="tdlat_3.html#V2">anti-discrete</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/>
<b>consider </b><font color="Maroon">A</font> being  <a href="isomichi.html#V1" target="_self">supercondensed</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T</font>;<br/>
<a NAME="E3:77_1_1"/>
<font color="Maroon">A</font> is <a href="isomichi.html#V3" target="_self">1st_class</a>
 
;<br/>
<a NAME="E4:77_1_1"/><b>then </b><i><font color="Green">E30</font></i>: 
<font color="Maroon">T</font> is <a href="isomichi.html#V6" target="_self">with_1st_class_subsets</a>
 
<b>by </b><i><a class="ref" href="isomichi.html#T15" target="_self">Th15</a></i>;<br/>
<b>consider </b><font color="Maroon">B</font> being  <a href="isomichi.html#V4" target="_self">2nd_class</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T</font>;<br/>
<a NAME="E6:77_1_1"/>
<font color="Maroon">B</font> is <a href="isomichi.html#V4" target="_self">2nd_class</a>
 
;<br/>
<a NAME="E7:77_1_1"/><b>then </b>
<font color="Maroon">T</font> is <a href="isomichi.html#V7" target="_self">with_2nd_class_subsets</a>
 
<b>by </b><i><a class="ref" href="isomichi.html#T16" target="_self">Th16</a></i>;<br/>
<b>hence </b><a NAME="E8:77_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="pre_topc.html#NM1">TopSpace</a> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="isomichi.html#V6" target="_self">with_1st_class_subsets</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="isomichi.html#V7" target="_self">with_2nd_class_subsets</a> &amp; not <font color="Olive">b<sub>1</sub></font> is <a href="struct_0.html#V3">empty</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="pre_topc.html#V1">strict</a> &amp; not <font color="Olive">b<sub>1</sub></font> is <a href="realset2.html#V3">trivial</a> )
 <b>by </b><i/>;<br/>


</div>
