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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: MATRIX12:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">l</font>, <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b4">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b3">K</font><br/>  for <font color="Olive" title="b5">A</font> being   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of <font color="Olive" title="b2">n</font>,<font color="Olive" title="b3">K</font>  st <font color="Olive" title="b1">l</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K3" title="MATRIX_1:func.3">1.</a> (<font color="Olive" title="b3">K</font>,<font color="Olive" title="b2">n</font>)</span>)</span> &amp; <font color="Olive" title="b2">n</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/><font color="Olive" title="b5">A</font> <a href="matrix_3.html#K4" title="MATRIX_3:func.4">*</a> <span class="p1">(<span class="default"><a href="matrix12.html#NK11" title="MATRIX12:NK.11">SXCol</a> (<span class="p2">(<span class="default"><a href="matrix_1.html#K3" title="MATRIX_1:func.3">1.</a> (<font color="Olive" title="b3">K</font>,<font color="Olive" title="b2">n</font>)</span>)</span>,<font color="Olive" title="b1">l</font>,<font color="Olive" title="b4">a</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix12.html#NK11" title="MATRIX12:NK.11">SXCol</a> (<font color="Olive" title="b5">A</font>,<font color="Olive" title="b1">l</font>,<font color="Olive" title="b4">a</font>)</div></div>
