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<b>let </b><font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c2">y</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>assume </b><a NAME="E1:59"/><i><font color="Green" title="E49">A1</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</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="c2">y</font>
 ;<br/>

<a NAME="E2:59"/><i><font color="Green" title="E50">A2</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="complsp2.html#D1" target="_self" title="COMPLSP2:def.1">Def1</a></i>;<br/>
<a NAME="E3:59"/><i><font color="Green" title="E51">A3</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="complsp2.html#D1" target="_self" title="COMPLSP2:def.1">Def1</a></i>;<br/>
<a NAME="E4:59"/><i><font color="Green" title="E52">A4</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <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="c1">x</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T6" target="_self" title="COMPLSP2:th.6">Th6</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a></i>;<br/>
<a NAME="E5:59"/><i><font color="Green" title="E53">A5</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <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="c1">x</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T6" target="_self" title="COMPLSP2:th.6">Th6</a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a></i>;<br/>
<a NAME="E6:59"/><i><font color="Green" title="E54">A6</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <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="c2">y</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T6" target="_self" title="COMPLSP2:th.6">Th6</a>, <a class="txt" href="complsp2.html#E2:59"><i><font color="Green" title="E50">A2</font></i></a></i>;<br/>
<a NAME="E7:59"/><i><font color="Green" title="E55">A7</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5" title="COMPLSP1:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="complsp2.html#T5" target="_self" title="COMPLSP2:th.5">Th5</a></i>;<br/>
<a NAME="E8:59"/><i><font color="Green" title="E56">A8</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <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="c1">x</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T7" target="_self" title="COMPLSP2:th.7">Th7</a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a></i>;<br/>
<a NAME="E9:59"/><i><font color="Green" title="E57">A9</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <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="c2">y</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T7" target="_self" title="COMPLSP2:th.7">Th7</a>, <a class="txt" href="complsp2.html#E2:59"><i><font color="Green" title="E50">A2</font></i></a></i>;<br/>
<a NAME="E10:59"/><i><font color="Green" title="E58">A10</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="complsp2.html#K6" title="COMPLSP2:func.6">Re</a> <font color="Maroon" title="c1">x</font></span>)</span> <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="c1">x</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T48" target="_self" title="COMPLSP2:th.48">Th48</a></i>;<br/>
<a NAME="E11:59"/><i><font color="Green" title="E59">A11</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="complsp2.html#K6" title="COMPLSP2:func.6">Re</a> <font color="Maroon" title="c2">y</font></span>)</span> <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="c2">y</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T48" target="_self" title="COMPLSP2:th.48">Th48</a></i>;<br/>
<a NAME="E12:59"/><i><font color="Green" title="E60">A12</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="complsp2.html#K7" title="COMPLSP2:func.7">Im</a> <font color="Maroon" title="c1">x</font></span>)</span> <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="c1">x</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T48" target="_self" title="COMPLSP2:th.48">Th48</a></i>;<br/>
<a NAME="E13:59"/><i><font color="Green" title="E61">A13</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="complsp2.html#K7" title="COMPLSP2:func.7">Im</a> <font color="Maroon" title="c2">y</font></span>)</span> <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="c2">y</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T48" target="_self" title="COMPLSP2:th.48">Th48</a></i>;<br/>
<b>thus </b> <a href="complsp2.html#K6" title="COMPLSP2:func.6">Re</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> = 
<span class="p1">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="ref" href="complsp2.html#T19" target="_self" title="COMPLSP2:th.19">Th19</a></i>
<br/>.= 
<span class="p1">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T28" target="_self" title="COMPLSP2:th.28">Th28</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E2:59"><i><font color="Green" title="E50">A2</font></i></a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a>, <a class="txt" href="complsp2.html#E4:59"><i><font color="Green" title="E52">A4</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T28" target="_self" title="COMPLSP2:th.28">Th28</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T29" target="_self" title="COMPLSP2:th.29">Th29</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T28" target="_self" title="COMPLSP2:th.28">Th28</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T28" target="_self" title="COMPLSP2:th.28">Th28</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E2:59"><i><font color="Green" title="E50">A2</font></i></a>, <a class="txt" href="complsp2.html#E5:59"><i><font color="Green" title="E53">A5</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T30" target="_self" title="COMPLSP2:th.30">Th30</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E5:59"><i><font color="Green" title="E53">A5</font></i></a>, <a class="txt" href="complsp2.html#E6:59"><i><font color="Green" title="E54">A6</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="complsp2.html#K6" title="COMPLSP2:func.6">Re</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="rvsum_1.html#K4" title="RVSUM_1:func.4">+</a> <span class="p1">(<span class="default"><a href="complsp2.html#K6" title="COMPLSP2:func.6">Re</a> <font color="Maroon" title="c2">y</font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T47" target="_self" title="COMPLSP2:th.47">Th47</a>, <a class="txt" href="complsp2.html#E10:59"><i><font color="Green" title="E58">A10</font></i></a>, <a class="txt" href="complsp2.html#E11:59"><i><font color="Green" title="E59">A11</font></i></a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a></i>
;<br/>

<b>thus </b> <a href="complsp2.html#K7" title="COMPLSP2:func.7">Im</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="ref" href="complsp2.html#T19" target="_self" title="COMPLSP2:th.19">Th19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T36" target="_self" title="COMPLSP2:th.36">Th36</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E2:59"><i><font color="Green" title="E50">A2</font></i></a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a>, <a class="txt" href="complsp2.html#E4:59"><i><font color="Green" title="E52">A4</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><a href="complsp1.html#K5" title="COMPLSP1:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T31" target="_self" title="COMPLSP2:th.31">Th31</a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a>, <a class="txt" href="complsp2.html#E4:59"><i><font color="Green" title="E52">A4</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p4">(<span class="default"><a href="complsp1.html#K5" title="COMPLSP1:func.5">-</a> <span class="p5">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T28" target="_self" title="COMPLSP2:th.28">Th28</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a>, <a class="txt" href="complsp2.html#E7:59"><i><font color="Green" title="E55">A7</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="complsp1.html#K5" title="COMPLSP1:func.5">-</a> <span class="p5">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span></span>)</span> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T29" target="_self" title="COMPLSP2:th.29">Th29</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a>, <a class="txt" href="complsp2.html#E7:59"><i><font color="Green" title="E55">A7</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p4">(<span class="default"><a href="complsp1.html#K5" title="COMPLSP1:func.5">-</a> <span class="p5">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T28" target="_self" title="COMPLSP2:th.28">Th28</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a>, <a class="txt" href="complsp2.html#E7:59"><i><font color="Green" title="E55">A7</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T31" target="_self" title="COMPLSP2:th.31">Th31</a>, <a class="txt" href="complsp2.html#E3:59"><i><font color="Green" title="E51">A3</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T37" target="_self" title="COMPLSP2:th.37">Th37</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E2:59"><i><font color="Green" title="E50">A2</font></i></a>, <a class="txt" href="complsp2.html#E8:59"><i><font color="Green" title="E56">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span> <a href="complsp1.html#K3" title="COMPLSP1:func.3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="binop_2.html#K12" title="BINOP_2:func.12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T30" target="_self" title="COMPLSP2:th.30">Th30</a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a>, <a class="txt" href="complsp2.html#E8:59"><i><font color="Green" title="E56">A8</font></i></a>, <a class="txt" href="complsp2.html#E9:59"><i><font color="Green" title="E57">A9</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="complsp2.html#K7" title="COMPLSP2:func.7">Im</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="rvsum_1.html#K4" title="RVSUM_1:func.4">+</a> <span class="p1">(<span class="default"><a href="complsp2.html#K7" title="COMPLSP2:func.7">Im</a> <font color="Maroon" title="c2">y</font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T47" target="_self" title="COMPLSP2:th.47">Th47</a>, <a class="txt" href="complsp2.html#E12:59"><i><font color="Green" title="E60">A12</font></i></a>, <a class="txt" href="complsp2.html#E13:59"><i><font color="Green" title="E61">A13</font></i></a>, <a class="txt" href="complsp2.html#E1:59"><i><font color="Green" title="E49">A1</font></i></a></i>
;<br/>


</div>
