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

<b>reconsider </b><font color="Maroon">c<sub>2</sub></font> =  <a href="topmetr.html#K3">R^1</a>  as  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#V1">strict</a>  <a href="pre_topc.html#M1">SubSpace</a> of  <a href="topmetr.html#K3">R^1</a>  <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="E2:27_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> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="topalg_2.html#V3" target="_self">convex</a> )
 <b>by </b><i><a class="txt" href="topalg_2.html#E22"><i><font color="Green">Lemma18</font></i></a></i>;<br/>


</div>
