<?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">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">B</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">V</font>;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:8"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font>
 <b>and </b><br/><a NAME="E2:8"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">B</font> is <a href="rlvect_3.html#V1" target="_self">linearly-independent</a>
 ;<br/>

<b>let </b><font color="Maroon">l</font> be    <a href="rlvect_2.html#M2">Linear_Combination</a> of <font color="Maroon">A</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="rlvect_3.html#D1" target="_self">RLVECT_3:def 1</a><br/>

<b>assume </b><a NAME="E3:8"/><i><font color="Green">E56</font></i>: 
 <a href="rlvect_2.html#K6">Sum</a> <font color="Maroon">l</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">L</font> = <font color="Maroon">l</font> as    <a href="rlvect_2.html#M2">Linear_Combination</a> of <font color="Maroon">B</font> <b>by </b><i>, <a class="ref" href="rlvect_2.html#T33">RLVECT_2:33</a></i>;<br/>
<a NAME="E5:8"/>
 <a href="rlvect_2.html#K3">Carrier</a> <font color="Maroon">L</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i>, , </i>;<br/>
<b>hence </b><a NAME="E6:8"/>
 <a href="rlvect_2.html#K3">Carrier</a> <font color="Maroon">l</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>


</div>
