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

<b>let </b><font color="Maroon">X</font> be   <a href="rltopsp1.html#NM1">LinearTopSpace</a>;<br/><b>let </b><font color="Maroon">V</font> be  <a href="pre_topc.html#V3">open</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">r</font> be  non <a href="xboole_0.html#V1">zero</a> <a href="real_1.html#NM1">Real</a>;<br/>





<a NAME="E1:99"/>
<span class="p1">(<span class="default"><a href="rltopsp1.html#K4" target="_self">mlt</a> <font color="Maroon">r</font>,<font color="Maroon">X</font></span>)</span> <a href="relset_1.html#K10">.:</a> <font color="Maroon">V</font> <a href="hidden.html#R1">=</a> <font color="Maroon">r</font> <a href="convex1.html#K1">*</a> <font color="Maroon">V</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:99"/>
<font color="Maroon">r</font> <a href="convex1.html#K1">*</a> <font color="Maroon">V</font> is <a href="pre_topc.html#V3">open</a>
 <b>by </b><i><a class="ref" href="topgrp_1.html#T25">TOPGRP_1:25</a></i>;<br/>


</div>
