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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="subset_1.html#M1">Element</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#K1">REAL</a> ;<br/>



<b>set </b><font color="Maroon">c<sub>3</sub></font> = <a href="binop_2.html#K35">multreal</a>  <a href="funcop_1.html#K8">[;]</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p1">(<span class="default"><a href="partfun1.html#K6">id</a> <a href="numbers.html#K1">REAL</a> </span>)</span>;<br/>
<b>thus </b> <a href="rvsum_1.html#K15" target="_self">Sum</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="rvsum_1.html#K9" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="binop_2.html#K35">multreal</a>  <a href="funcop_1.html#K8">[;]</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="partfun1.html#K6">id</a> <a href="numbers.html#K1">REAL</a> </span>)</span></span>)</span> <a href="seq_1.html#K2">.</a> <span class="p1">(<span class="default"><a href="binop_2.html#K33">addreal</a>  <a href="finsop_1.html#K2">$$</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="rvsum_1.html#T16" target="_self">Th16</a>, <a class="ref" href="rvsum_1.html#T22" target="_self">Th22</a>, <a class="ref" href="setwop_2.html#T41">SETWOP_2:41</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K11">*</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K15" target="_self">Sum</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="rvsum_1.html#E24"><i><font color="Green">Lemma8</font></i></a></i>
;<br/>


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