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

<b>consider </b><font color="Maroon" title="c3">A</font> being  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">V</font><b> such that </b><br/><a NAME="E2:4_1_1"/><i><font color="Green" title="E4">A1</font></i>: 
<font color="Maroon" title="c3">A</font> is    <a href="vectsp_7.html#M1" title="VECTSP_7:mode.1">Basis</a> of <font color="Maroon" title="c2">V</font>
 <b>by </b><i><a class="ref" href="matrlin.html#D3" title="MATRLIN:def.3">MATRLIN:def 3</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c4">A</font> = <font color="Maroon" title="c3">A</font> as    <a href="vectsp_7.html#M1" title="VECTSP_7:mode.1">Basis</a> of <font color="Maroon" title="c2">V</font> <b>by </b><i><a class="txt" href="ranknull.html#E2:4_1_1"><i><font color="Green" title="E4">A1</font></i></a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">A</font>
;<br/>

<b>thus </b><a NAME="E4:4_1_1"/>
<font color="Maroon" title="c4">A</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>
 ;<br/>


</div>
