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<b>let </b><font color="Maroon">M1</font> be   <a href="matrix_1.html#NM1">Matrix</a> of <a href="numbers.html#K1">REAL</a> , <font color="Maroon">M2</font> be   <a href="matrix_1.html#NM1">Matrix</a> of <a href="numbers.html#K1">REAL</a> ;<br/>

<b>assume </b><a NAME="E1:36"/><i><font color="Green">E43</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">M1</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">M2</font>
 ;<br/>

 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="matrprob.html#K3" target="_self">Sum</a> <font color="Maroon">M1</font></span>)</span> = 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">M1</font>
<b>by </b><i/>
<br/>.= 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="matrprob.html#K3" target="_self">Sum</a> <font color="Maroon">M2</font></span>)</span>
<b>by </b><i>, </i>
;<br/>
<b>then reconsider </b><font color="Maroon">p1</font> =  <a href="matrprob.html#K3" target="_self">Sum</a> <font color="Maroon">M1</font>, <font color="Maroon">p2</font> =  <a href="matrprob.html#K3" target="_self">Sum</a> <font color="Maroon">M2</font> as    <a href="finseq_2.html#M2">Element</a> of <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p2">(<span class="default"><a href="matrprob.html#K3" target="_self">Sum</a> <font color="Maroon">M1</font></span>)</span></span>)</span> <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K1">REAL</a>  <b>by </b><i><a class="ref" href="finseq_2.html#T110">FINSEQ_2:110</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="matrprob.html#K5" target="_self">SumAll</a> <font color="Maroon">M1</font></span>)</span> <a href="binop_2.html#K9">+</a> <span class="p1">(<span class="default"><a href="matrprob.html#K5" target="_self">SumAll</a> <font color="Maroon">M2</font></span>)</span> = 
 <a href="rvsum_1.html#K15">Sum</a> <span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="rvsum_1.html#K4">+</a> <font color="Maroon">p2</font></span>)</span>
<b>by </b><i><a class="ref" href="rvsum_1.html#T119">RVSUM_1:119</a></i>
<br/>.= 
 <a href="matrprob.html#K5" target="_self">SumAll</a> <span class="p1">(<span class="default"><font color="Maroon">M1</font> <a href="matrlin.html#K9">^^</a> <font color="Maroon">M2</font></span>)</span>
<b>by </b><i/>
;<br/>


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