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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E51">Th53</font></span>: <a NAME="T53"><span class="comment"><font color="firebrick">:: MATRIX15:53</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">k</font>, <font color="Olive" title="b3">m</font>, <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b5">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b6">A</font> being   <a href="matrix_1.html#NM3" title="MATRIX_1:NM.3">Matrix</a> of <font color="Olive" title="b4">n</font>,<font color="Olive" title="b2">k</font>,<font color="Olive" title="b5">K</font><br/>  for <font color="Olive" title="b7">B</font> being   <a href="matrix_1.html#NM3" title="MATRIX_1:NM.3">Matrix</a> of <font color="Olive" title="b4">n</font>,<font color="Olive" title="b3">m</font>,<font color="Olive" title="b5">K</font>  st <font color="Olive" title="b4">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">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="matrix15.html#K4" title="MATRIX15:func.4">Solutions_of</a> (<font color="Olive" title="b6">A</font>,<font color="Olive" title="b7">B</font>) holds <br/><font color="Olive" title="b1">x</font> is   <a href="matrix_1.html#NM3" title="MATRIX_1:NM.3">Matrix</a> of <font color="Olive" title="b2">k</font>,<font color="Olive" title="b3">m</font>,<font color="Olive" title="b5">K</font></div></div>
