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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">Th56</font></span>: <a NAME="T56"><span class="comment"><font color="firebrick">:: MATRIXR1:56</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">M</font> being   <a href="matrix_0.html#NM1" title="MATRIX_0:NM.1">Matrix</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b3">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="matrix_0.html#K1" title="MATRIX_0:func.1">width</a> <font color="Olive" title="b2">M</font> holds <br/> <a href="matrix_0.html#K8" title="MATRIX_0:func.8">Col</a> (<span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="matrixr1.html#K7" title="MATRIXR1:func.7">*</a> <font color="Olive" title="b2">M</font></span>)</span>,<font color="Olive" title="b3">i</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="rvsum_1.html#K11" title="RVSUM_1:func.11">*</a> <span class="p1">(<span class="default"><a href="matrix_0.html#K8" title="MATRIX_0:func.8">Col</a> (<font color="Olive" title="b2">M</font>,<font color="Olive" title="b3">i</font>)</span>)</span></div></div>
