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<b>let </b><font color="Maroon" title="c1">V</font> be   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">L</font> be    <a href="rlvect_2.html#M1" title="RLVECT_2:mode.1">Linear_Combination</a> of <font color="Maroon" title="c1">V</font>;<br/>



<b>assume </b><a NAME="E1:38"/><i><font color="Green" title="E20">A1</font></i>: 
<font color="Maroon" title="c2">L</font> is <a href="convex1.html#V2" title="CONVEX1:attr.2">convex</a>
 ;<br/>

<b>assume </b><a NAME="E2:38"/><i><font color="Green" title="E21">A2</font></i>: 
<font color="Maroon" title="c2">L</font> <a href="rlvect_2.html#R1" title="RLVECT_2:pred.1">=</a>  <a href="rlvect_2.html#K4" title="RLVECT_2:func.4">ZeroLC</a> <font color="Maroon" title="c1">V</font>
 ;<br/>

<a NAME="E3:38"/>
 <a href="rlvect_2.html#K3" title="RLVECT_2:func.3">Carrier</a> <font color="Maroon" title="c2">L</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<b>by </b><i><a class="txt" href="convex1.html#E1:38"><i><font color="Green" title="E20">A1</font></i></a>, <a class="ref" href="convex1.html#T21" target="_self" title="CONVEX1:th.21">Th21</a></i>;<br/>
<b>hence </b><a NAME="E4:38"/>
contradiction
 <b>by </b><i><a class="txt" href="convex1.html#E2:38"><i><font color="Green" title="E21">A2</font></i></a>, <a class="ref" href="rlvect_2.html#D7" title="RLVECT_2:def.7">RLVECT_2:def 7</a></i>;<br/>


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