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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/>

<a NAME="E1:21"/>
 <a href="pre_topc.html#K1">{}</a> <font color="Maroon">c<sub>1</sub></font> is <a href="convex1.html#V1">convex</a>
 
<b>by </b><i><a class="ref" href="convex1.html#T10">CONVEX1:10</a></i>;<br/>
<a NAME="E2:21"/><b>then </b><i><font color="Green">E19</font></i>: 
 <a href="pre_topc.html#K1">{}</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="convex1.html#K2">Convex-Family</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K1">{}</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="convex1.html#D4">CONVEX1:def 4</a></i>;<br/>
<b>thus </b><a NAME="E3:21"/>
 <a href="convex1.html#K3">conv</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K1">{}</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 <b>by </b><i><a class="txt" href="rltopsp1.html#E2:21"><i><font color="Green">E19</font></i></a>, <a class="ref" href="setfam_1.html#T5">SETFAM_1:5</a></i>;<br/>


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