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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E65">Def10</font></span>   defines <a href="matrixj1.html#K25" title="MATRIXJ1:func.25">(+)</a> <a onclick="hs(this)" href="javascript:()">MATRIXJ1:def 10 : <br/></a><span> for <font color="Olive" title="b1">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">G1</font>, <font color="Olive" title="b3">G2</font>, <font color="Olive">b<sub>4</sub></font> being   <a href="matrixj1.html#NM2" title="MATRIXJ1:NM.2">FinSequence_of_Matrix</a> of <font color="Olive" title="b1">K</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G1</font> <a href="matrixj1.html#K25" title="MATRIXJ1:func.25">(+)</a> <font color="Olive" title="b3">G2</font> iff (  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b2">G1</font> &amp; (  for <font color="Olive" title="b5">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b5">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive">b<sub>4</sub></font> holds <br/><font color="Olive">b<sub>4</sub></font> <a href="matrixj1.html#K2" title="MATRIXJ1:func.2">.</a> <font color="Olive" title="b5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">G1</font> <a href="matrixj1.html#K2" title="MATRIXJ1:func.2">.</a> <font color="Olive" title="b5">i</font></span>)</span> <a href="matrix_3.html#K3" title="MATRIX_3:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">G2</font> <a href="matrixj1.html#K2" title="MATRIXJ1:func.2">.</a> <font color="Olive" title="b5">i</font></span>)</span> ) ) );<br/></span></div>
