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<div><span class="kw">theorem </span><a NAME="T48"><span class="comment"><font color="firebrick">:: ZMATRLIN:48</font></span><br/></a><div class="add"> 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" title="b2">I</font> being   <a href="zmodul03.html#NM1" title="ZMODUL03:NM.1">Basis</a> of <font color="Olive" title="b1">V</font>  ex <font color="Olive" title="b3">J</font> being    <a href="zmatrlin.html#M1" title="ZMATRLIN:mode.1">OrdBasis</a> of <font color="Olive" title="b1">V</font> st  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">J</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">I</font></div></div>
