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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#K2">COMPLEX</a> ;<br/>

<b>assume </b><a NAME="E1:32"/>
 <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 NAME="E2:32"/><b>then </b><i><font color="Green">E24</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp2.html#K1">*'</a> </span>)</span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1
 
<b>by </b><i><a class="ref" href="complsp2.html#D1">COMPLSP2:def 1</a></i>;<br/>
 <a href="matrixc1.html#K6" target="_self">Sum</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp2.html#K1">*'</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="binop_2.html#K27">addcomplex</a>  <a href="finsop_1.html#K2">$$</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complex1.html#K15">*'</a> 
<b>by </b><i><a class="ref" href="matrixc1.html#T23" target="_self">Th23</a>, <a class="txt" href="matrixc1.html#E2:32"><i><font color="Green">E24</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="matrixc1.html#K6" target="_self">Sum</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complex1.html#K15">*'</a> 

;<br/>
<b>hence </b><a NAME="E4:32"/>
 <a href="matrixc1.html#K6" target="_self">Sum</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp2.html#K1">*'</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K6" target="_self">Sum</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complex1.html#K15">*'</a> 
 ;<br/>


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