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<b>let </b><font color="Maroon" title="c1">a1</font> be  <a href="xcmplx_0.html#V1" title="XCMPLX_0:attr.1">complex</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/><b>let </b><font color="Maroon" title="c2">y1</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon" title="c3">a2</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ;<br/><b>let </b><font color="Maroon" title="c4">y2</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ;<br/>







<b>reconsider </b><font color="Maroon" title="c5">aa</font> = <font color="Maroon" title="c1">a1</font> as    <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>  <b>by </b><i><a class="ref" href="xcmplx_0.html#D2" title="XCMPLX_0:def.2">XCMPLX_0:def 2</a></i>;<br/>
<b>assume </b><a NAME="E2:73"/><i><font color="Green" title="E63">A1</font></i>: 
( <font color="Maroon" title="c1">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a2</font> &amp; <font color="Maroon" title="c2">y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">y2</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c4">y2</font> )
 ;<br/>

<font color="Maroon" title="c1">a1</font> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <font color="Maroon" title="c2">y1</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">aa</font> <a href="complsp1.html#K1" title="COMPLSP1:func.1">multcomplex</a> </span>)</span> <a href="finseqop.html#K5" title="FINSEQOP:func.5">*</a> <font color="Maroon" title="c2">y1</font>
<b>by </b><i><a class="ref" href="complsp1.html#D10" title="COMPLSP1:def.10">COMPLSP1:def 10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">a2</font> <a href="rvsum_1.html#K3" title="RVSUM_1:func.3">multreal</a> </span>)</span> <a href="finseqop.html#K5" title="FINSEQOP:func.5">*</a> <font color="Maroon" title="c4">y2</font>
<b>by </b><i><a class="txt" href="complsp2.html#E2:73"><i><font color="Green" title="E63">A1</font></i></a>, <a class="ref" href="complsp2.html#T61" target="_self" title="COMPLSP2:th.61">Th61</a></i>
<br/>.= 
<font color="Maroon" title="c3">a2</font> <a href="rvsum_1.html#K10" title="RVSUM_1:func.10">*</a> <font color="Maroon" title="c4">y2</font>
<b>by </b><i><a class="ref" href="rvsum_1.html#D7" title="RVSUM_1:def.7">RVSUM_1:def 7</a></i>
;<br/>
<b>hence </b><a NAME="E4:73"/>
<font color="Maroon" title="c1">a1</font> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <font color="Maroon" title="c2">y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a2</font> <a href="rvsum_1.html#K10" title="RVSUM_1:func.10">*</a> <font color="Maroon" title="c4">y2</font>
 ;<br/>


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