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

<a NAME="E1:35_1_1"/>
 <a href="subset_1.html#K1">{}</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font> is <a href="rlvect_3.html#V1" target="_self">linearly-independent</a>
 
<b>by </b><i/>;<br/>
<a NAME="E2:35_1_1"/><b>then </b>
 ex <font color="Olive">B</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">V</font> st <br/>(  <a href="subset_1.html#K1">{}</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font> <a href="tarski.html#R1">c=</a> <font color="Olive">B</font> &amp; <font color="Olive">B</font> is <a href="rlvect_3.html#V1" target="_self">linearly-independent</a> &amp;  <a href="rlvect_3.html#K1" target="_self">Lin</a> <font color="Olive">B</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#G2">RLSStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U2">Mult</a> of <font color="Maroon">V</font> #) )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:35_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">V</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_3.html#V1" target="_self">linearly-independent</a> &amp;  <a href="rlvect_3.html#K1" target="_self">Lin</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#G2">RLSStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U2">Mult</a> of <font color="Maroon">V</font> #) )
 ;<br/>


</div>
