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

<b>let </b><font color="Maroon" title="c1">V</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="clvect_1.html#L1" title="CLVECT_1:struct.1">CLSStruct</a> ;<br/><b>let </b><font color="Maroon" title="c2">L1</font>, <font color="Maroon" title="c3">L2</font> be    <a href="convex4.html#M1" title="CONVEX4:mode.1">C_Linear_Combination</a> of <font color="Maroon" title="c1">V</font>;<br/>





<b>assume </b><a NAME="E1:44"/><i><font color="Green" title="E32">A1</font></i>: 
<font color="Maroon" title="c2">L1</font> <a href="convex4.html#K5" title="CONVEX4:func.5">+</a> <font color="Maroon" title="c3">L2</font> <a href="convex4.html#R1" title="CONVEX4:pred.1">=</a>  <a href="convex4.html#K2" title="CONVEX4:func.2">ZeroCLC</a> <font color="Maroon" title="c1">V</font>
 ;<br/>

<b>let </b><font color="Maroon" title="c4">v</font> be   <a href="clvect_1.html#NM1" title="CLVECT_1:NM.1">VECTOR</a> of <font color="Maroon" title="c1">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="convex4.html#D7" target="_self" title="CONVEX4:def.7">CONVEX4:def 7</a><br/>

<span class="p1">(<span class="default"><font color="Maroon" title="c2">L1</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">v</font></span>)</span> <a href="complex1.html#K8" title="COMPLEX1:func.8">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">L2</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">v</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="convex4.html#K2" title="CONVEX4:func.2">ZeroCLC</a> <font color="Maroon" title="c1">V</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">v</font>
<b>by </b><i><a class="txt" href="convex4.html#E1:44"><i><font color="Green" title="E32">A1</font></i></a>, <a class="ref" href="convex4.html#D8" target="_self" title="CONVEX4:def.8">Def6</a></i>
<br/>.= 
 <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a> 
<b>by </b><i><a class="ref" href="convex4.html#T2" target="_self" title="CONVEX4:th.2">Th30</a></i>
;<br/>
<b>hence </b><font color="Maroon" title="c3">L2</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">v</font> = 
 <a href="complex1.html#K10" title="COMPLEX1:func.10">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">L1</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">v</font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="convex4.html#K8" title="CONVEX4:func.8">-</a> <font color="Maroon" title="c2">L1</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">v</font>
<b>by </b><i><a class="ref" href="convex4.html#T31" target="_self" title="CONVEX4:th.31">Th73</a></i>
;<br/><br/>


</div>
