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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th54</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: MATRIX15:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font>, <font color="Olive" title="b2">m</font>, <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b4">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a>  st <font color="Olive" title="b3">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>  &amp; <font color="Olive" title="b1">k</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/> <a href="matrix15.html#K4" title="MATRIX15:func.4">Solutions_of</a> (<span class="p1">(<span class="default"><a href="matrix_3.html#K1" title="MATRIX_3:func.1">0.</a> (<font color="Olive" title="b4">K</font>,<font color="Olive" title="b3">n</font>,<font color="Olive" title="b1">k</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="matrix_3.html#K1" title="MATRIX_3:func.1">0.</a> (<font color="Olive" title="b4">K</font>,<font color="Olive" title="b3">n</font>,<font color="Olive" title="b2">m</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b5">X</font> where <font color="Olive" title="b5">X</font> is   <a href="matrix_1.html#NM3" title="MATRIX_1:NM.3">Matrix</a> of <font color="Olive" title="b1">k</font>,<font color="Olive" title="b2">m</font>,<font color="Olive" title="b4">K</font> : verum </span> } </span> </div></div>
