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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="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a> ;<br/>





 <a href="rvsum_1.html#K16" target="_self">Product</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K24">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="finseqop.html#K4">|-&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> = 
<a href="binop_2.html#K35">multreal</a>  <a href="finsop_1.html#K2">$$</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K24">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="finseqop.html#K4">|-&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="rvsum_1.html#T123" target="_self">Th123</a></i>
<br/>.= 
<a href="binop_2.html#K35">multreal</a>  <a href="finsop_1.html#K2">$$</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="finseqop.html#K4">|-&gt;</a> <span class="p2">(<span class="default"><a href="binop_2.html#K35">multreal</a>  <a href="finsop_1.html#K2">$$</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseqop.html#K4">|-&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="setwop_2.html#T38">SETWOP_2:38</a></i>
<br/>.= 
 <a href="rvsum_1.html#K16" target="_self">Product</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="finseqop.html#K4">|-&gt;</a> <span class="p2">(<span class="default"><a href="binop_2.html#K35">multreal</a>  <a href="finsop_1.html#K2">$$</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseqop.html#K4">|-&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rvsum_1.html#T123" target="_self">Th123</a></i>
<br/>.= 
 <a href="rvsum_1.html#K16" target="_self">Product</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><a href="rvsum_1.html#K16" target="_self">Product</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseqop.html#K4">|-&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rvsum_1.html#T123" target="_self">Th123</a></i>
;<br/>
<b>hence </b><a NAME="E2:115"/>
 <a href="rvsum_1.html#K16" target="_self">Product</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K24">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="finseqop.html#K4">|-&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rvsum_1.html#K16" target="_self">Product</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><a href="rvsum_1.html#K16" target="_self">Product</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseqop.html#K4">|-&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
 ;<br/>


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