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

<b>reconsider </b><font color="Maroon">c<sub>2</sub></font> =  <a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">c<sub>1</sub></font> as    <a href="pre_topc.html#M1">SubSpace</a> of  <a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="ref" href="tsep_1.html#T2">TSEP_1:2</a></i>;<br/>
<b>take </b>
<font color="Maroon">c<sub>2</sub></font>
;<br/>

<b>thus </b><a NAME="E2:4_1_1"/>
( <font color="Maroon">c<sub>2</sub></font> is <a href="pre_topc.html#V1">strict</a> &amp; not <font color="Maroon">c<sub>2</sub></font> is <a href="struct_0.html#V3">empty</a> )
 ;<br/>

<b>thus </b><a NAME="E3:4_1_1"/>
 <a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>2</sub></font> is  <a href="jordan1.html#V1">convex</a> <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="jordan2c.html#T21">JORDAN2C:21</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="topalg_2.html#D1" target="_self">TOPALG_2:def 1</a><br/>


</div>
