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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th6</font></span>: <a NAME="T6"><span class="comment"><font color="firebrick">:: MATRIX_1:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">F</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b3">A</font> being   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of <font color="Olive" title="b1">n</font>,<font color="Olive" title="b2">F</font> holds  <font color="Olive" title="b3">A</font> <a href="matrix_1.html#K5" title="MATRIX_1:func.5">+</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K4" title="MATRIX_1:func.4">-</a> <font color="Olive" title="b3">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K2" title="MATRIX_1:func.2">0.</a> (<font color="Olive" title="b2">F</font>,<font color="Olive" title="b1">n</font>)</div></div>
