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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>



<b>assume </b><a NAME="E1:41"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1 )
 ;<br/>

 <a href="rvsum_1.html#K15">Sum</a> <font color="Maroon">c<sub>1</sub></font> = 
<a href="binop_2.html#K33">addreal</a>  <a href="finsop_1.html#K2">$$</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="rvsum_1.html#D10">RVSUM_1:def 10</a></i>
<br/>.= 
<a href="binop_2.html#K27">addcomplex</a>  <a href="finsop_1.html#K2">$$</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="matrixc1.html#T30" target="_self">Th30</a>, <a class="txt" href="matrixc1.html#E1:41"><i><font color="Green">E32</font></i></a></i>
<br/>.= 
 <a href="matrixc1.html#K6" target="_self">Sum</a> <font color="Maroon">c<sub>2</sub></font>

;<br/>
<b>hence </b><a NAME="E3:41"/>
 <a href="rvsum_1.html#K15">Sum</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="matrixc1.html#K6" target="_self">Sum</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>


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