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

<b>let </b><font color="Maroon">V</font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">L1</font> be    <a href="rlvect_2.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">L2</font> be    <a href="rlvect_2.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>;<br/>





<b>assume </b><a NAME="E1:64"/><i><font color="Green">E46</font></i>: 
<font color="Maroon">L1</font> <a href="rlvect_2.html#K7" target="_self">+</a> <font color="Maroon">L2</font> <a href="rlvect_2.html#R1" target="_self">=</a>  <a href="rlvect_2.html#K4" target="_self">ZeroLC</a> <font color="Maroon">V</font>
 ;<br/>

<b>let </b><font color="Maroon">v</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="rlvect_2.html#D11" target="_self">RLVECT_2:def 11</a><br/>

<span class="p1">(<span class="default"><font color="Maroon">L1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><font color="Maroon">L2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="rlvect_2.html#K4" target="_self">ZeroLC</a> <font color="Maroon">V</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font>
<b>by </b><i>, </i>
<br/>.= 
0
<b>by </b><i/>
;<br/>
<b>hence </b><font color="Maroon">L2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font> = 
 <a href="real_1.html#K1">-</a> <span class="p1">(<span class="default"><font color="Maroon">L1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="rlvect_2.html#K9" target="_self">-</a> <font color="Maroon">L1</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font>
<b>by </b><i/>
;<br/><br/>


</div>
