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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="xcmplx_0.html#V1">complex</a>  <a href="ordinal1.html#NM1" target="_self">number</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#K2">COMPLEX</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/><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a> ;<br/>







<b>reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>1</sub></font> as    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a>  <b>by </b><i><a class="ref" href="xcmplx_0.html#D2">XCMPLX_0:def 2</a></i>;<br/>
<b>assume </b><a NAME="E2:73"/><i><font color="Green">E63</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> &amp;  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>4</sub></font> )
 ;<br/>

<font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K6">*</a> <font color="Maroon">c<sub>2</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="complsp1.html#K1">multcomplex</a> </span>)</span> <a href="finseqop.html#K5">*</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="complsp1.html#D10">COMPLSP1:def 10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="rvsum_1.html#K2">multreal</a> </span>)</span> <a href="finseqop.html#K5">*</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="complsp2.html#E2:73"><i><font color="Green">E63</font></i></a>, <a class="ref" href="complsp2.html#T61" target="_self">Th61</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="rvsum_1.html#K9">*</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="ref" href="rvsum_1.html#D7">RVSUM_1:def 7</a></i>
;<br/>
<b>hence </b><a NAME="E4:73"/>
<font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K6">*</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="rvsum_1.html#K9">*</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>


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