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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E3">Def5</font></span>   defines <a href="matrix_1.html#K5" title="MATRIX_1:func.5">+</a> <a onclick="hs(this)" href="javascript:()">MATRIX_1:def 5 : <br/></a><span> for <font color="Olive" title="b1">K</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <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">A</font>, <font color="Olive" title="b4">B</font>, <font color="Olive">b<sub>5</sub></font> being   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of <font color="Olive" title="b2">n</font>,<font color="Olive" title="b1">K</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">A</font> <a href="matrix_1.html#K5" title="MATRIX_1:func.5">+</a> <font color="Olive" title="b4">B</font> iff  for <font color="Olive" title="b6">i</font>, <font color="Olive" title="b7">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b6">i</font>,<font color="Olive" title="b7">j</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="matrix_0.html#K2" title="MATRIX_0:func.2">Indices</a> <font color="Olive" title="b3">A</font> holds <br/><font color="Olive">b<sub>5</sub></font> <a href="matrix_0.html#K3" title="MATRIX_0:func.3">*</a> (<font color="Olive" title="b6">i</font>,<font color="Olive" title="b7">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">A</font> <a href="matrix_0.html#K3" title="MATRIX_0:func.3">*</a> (<font color="Olive" title="b6">i</font>,<font color="Olive" title="b7">j</font>)</span>)</span> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">B</font> <a href="matrix_0.html#K3" title="MATRIX_0:func.3">*</a> (<font color="Olive" title="b6">i</font>,<font color="Olive" title="b7">j</font>)</span>)</span> );<br/></span></div>
