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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E49">Th51</font></span>: <a NAME="T51"><span class="comment"><font color="firebrick">:: MATRIX15:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">m</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="matrix_1.html#NM3" title="MATRIX_1:NM.3">Matrix</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> ,<font color="Olive" title="b2">n</font>,<font color="Olive" title="b3">K</font><br/>  for <font color="Olive" title="b5">B</font> being   <a href="matrix_1.html#NM3" title="MATRIX_1:NM.3">Matrix</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> ,<font color="Olive" title="b1">m</font>,<font color="Olive" title="b3">K</font> holds   <a href="matrix15.html#K4" title="MATRIX15:func.4">Solutions_of</a> (<font color="Olive" title="b4">A</font>,<font color="Olive" title="b5">B</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></div></div>
