<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E9">defOrdBasis</font></span>   defines <a href="zmatrlin.html#M1" title="ZMATRLIN:mode.1">OrdBasis</a> <a onclick="hs(this)" href="javascript:()">ZMATRLIN:def 5 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="vectsp_7.html#V3" title="VECTSP_7:attr.3">free</a>   <a href="zmodul03.html#V1" title="ZMODUL03:attr.1">finite-rank</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="zmatrlin.html#M1" title="ZMATRLIN:mode.1">OrdBasis</a> of <font color="Olive" title="b1">V</font> iff ( <font color="Olive">b<sub>2</sub></font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp;  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive">b<sub>2</sub></font> is   <a href="zmodul03.html#NM1" title="ZMODUL03:NM.1">Basis</a> of <font color="Olive" title="b1">V</font> ) );<br/></span></div>
