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

<b>assume </b><a NAME="E1:49"/><i><font color="Green">E38</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

 <a href="matrixc1.html#K10" target="_self">FR2FC</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K13">mlt</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> = 
<a href="binop_2.html#K35">multreal</a>  <a href="finseqop.html#K1">.:</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="rvsum_1.html#D9">RVSUM_1:def 9</a></i>
<br/>.= 
<a href="binop_2.html#K29">multcomplex</a>  <a href="finseqop.html#K1">.:</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K10" target="_self">FR2FC</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="matrixc1.html#K10" target="_self">FR2FC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="matrixc1.html#T38" target="_self">Th38</a>, <a class="txt" href="matrixc1.html#E1:49"><i><font color="Green">E38</font></i></a></i>
<br/>.= 
 <a href="matrixc1.html#K5" target="_self">mlt</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K10" target="_self">FR2FC</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="matrixc1.html#K10" target="_self">FR2FC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>

;<br/>
<b>hence </b><a NAME="E3:49"/>
 <a href="matrixc1.html#K10" target="_self">FR2FC</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K13">mlt</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="matrixc1.html#K5" target="_self">mlt</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K10" target="_self">FR2FC</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="matrixc1.html#K10" target="_self">FR2FC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 ;<br/>


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