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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">ThEQRZMV3C</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: ZMODUL04:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive" title="b2">I</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">IQ</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="zmodul04.html#K5" title="ZMODUL04:func.5">Z_MQ_VectSp</a> <font color="Olive" title="b1">V</font></span>)</span>  st <font color="Olive" title="b1">V</font> is  <a href="zmodul01.html#V1" title="ZMODUL01:attr.1">Mult-cancelable</a>  &amp; <font color="Olive" title="b3">IQ</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="zmodul04.html#K6" title="ZMODUL04:func.6">MorphsZQ</a> <font color="Olive" title="b1">V</font></span>)</span> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a> <font color="Olive" title="b2">I</font> &amp; <font color="Olive" title="b2">I</font> is  <a href="vectsp_7.html#V1" title="VECTSP_7:attr.1">linearly-independent</a>  holds <br/><font color="Olive" title="b3">IQ</font> is  <a href="vectsp_7.html#V1" title="VECTSP_7:attr.1">linearly-independent</a> </div></div>
