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<b>let </b><font color="Maroon" title="c1">i</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>;<br/><b>let </b><font color="Maroon" title="c2">z1</font>, <font color="Maroon" title="c3">z2</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> ;<br/>





<b>thus </b> <a href="rvsum_1.html#K20" title="RVSUM_1:func.20">Product</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|-&gt;</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binop_2.html#K5" title="BINOP_2:func.5">*</a> <font color="Maroon" title="c3">z2</font></span>)</span></span>)</span> = 
<a href="binop_2.html#K29" title="BINOP_2:func.29">multcomplex</a>  <a href="finsop_1.html#K2" title="FINSOP_1:func.2">$$</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|-&gt;</a> <span class="p2">(<span class="default"><a href="binop_2.html#K29" title="BINOP_2:func.29">multcomplex</a>  <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Maroon" title="c2">z1</font>,<font color="Maroon" title="c3">z2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binop_2.html#D5" title="BINOP_2:def.5">BINOP_2:def 5</a></i>
<br/>.= 
<a href="binop_2.html#K29" title="BINOP_2:func.29">multcomplex</a>  <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <span class="p1">(<span class="default"><a href="binop_2.html#K29" title="BINOP_2:func.29">multcomplex</a>  <a href="finsop_1.html#K2" title="FINSOP_1:func.2">$$</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|-&gt;</a> <font color="Maroon" title="c2">z1</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="binop_2.html#K29" title="BINOP_2:func.29">multcomplex</a>  <a href="finsop_1.html#K2" title="FINSOP_1:func.2">$$</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|-&gt;</a> <font color="Maroon" title="c3">z2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="setwop_2.html#T47" title="SETWOP_2:th.47">SETWOP_2:47</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="rvsum_1.html#K20" title="RVSUM_1:func.20">Product</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|-&gt;</a> <font color="Maroon" title="c2">z1</font></span>)</span></span>)</span> <a href="binop_2.html#K5" title="BINOP_2:func.5">*</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K20" title="RVSUM_1:func.20">Product</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|-&gt;</a> <font color="Maroon" title="c3">z2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binop_2.html#D5" title="BINOP_2:def.5">BINOP_2:def 5</a></i>
;<br/>


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