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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E45">Th50</font></span>: <a NAME="T50"><span class="comment"><font color="firebrick">:: MATRIX14:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <br/>  for <font color="Olive" title="b2">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b3">i0</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i0</font> &amp; <font color="Olive" title="b3">i0</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">n</font> holds <br/><span class="p1">(<span class="default"><a href="matrix14.html#K4" title="MATRIX14:func.4">SwapDiagonal</a> (<font color="Olive" title="b2">K</font>,<font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">i0</font>)</span>)</span> <a href="matrix_0.html#K4" title="MATRIX_0:func.4">@</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix14.html#K4" title="MATRIX14:func.4">SwapDiagonal</a> (<font color="Olive" title="b2">K</font>,<font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">i0</font>)</div></div>
