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<b>let </b><font color="Maroon" title="c1">x1</font>, <font color="Maroon" title="c2">x2</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="E1:79"/><i><font color="Green" title="E69">A1</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x1</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">x2</font>
 ;<br/>

<a NAME="E2:79"/><i><font color="Green" title="E70">A2</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a>  <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <font color="Maroon" title="c2">x2</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">x2</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T3" target="_self" title="COMPLSP2:th.3">Th3</a></i>;<br/>
<span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<span class="p2">(<span class="default"><a href="complsp1.html#K5" title="COMPLSP1:func.5">-</a> <font color="Maroon" title="c2">x2</font></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> = 
<span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a>  <a href="binop_2.html#K5" title="BINOP_2:func.5">*</a> <a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a> </span>)</span> <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <font color="Maroon" title="c2">x2</font></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span>
<b>by </b><i><a class="ref" href="complsp2.html#T12" target="_self" title="COMPLSP2:th.12">Th12</a></i>
<br/>.= 
<span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<span class="p2">(<span class="default"><a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a>  <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <span class="p3">(<span class="default"><a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a>  <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <font color="Maroon" title="c2">x2</font></span>)</span></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span>
<b>by </b><i><a class="ref" href="complsp2.html#T53" target="_self" title="COMPLSP2:th.53">Th53</a></i>
<br/>.= 
 <a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <span class="p1">(<span class="default"><a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a>  <a href="binop_2.html#K5" title="BINOP_2:func.5">*</a> <span class="p2"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<span class="p3">(<span class="default"><a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a>  <a href="complsp1.html#K6" title="COMPLSP1:func.6">*</a> <font color="Maroon" title="c2">x2</font></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T60" target="_self" title="COMPLSP2:th.60">Th60</a>, <a class="txt" href="complsp2.html#E1:79"><i><font color="Green" title="E69">A1</font></i></a>, <a class="txt" href="complsp2.html#E2:79"><i><font color="Green" title="E70">A2</font></i></a></i>
<br/>.= 
 <a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <span class="p1">(<span class="default"><a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a>  <a href="binop_2.html#K5" title="BINOP_2:func.5">*</a> <span class="p2">(<span class="default"><a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <span class="p3">(<span class="default"><a href="complex1.html#K7" title="COMPLEX1:func.7">&lt;i&gt;</a>  <a href="binop_2.html#K5" title="BINOP_2:func.5">*</a> <span class="p4"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c2">x2</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T60" target="_self" title="COMPLSP2:th.60">Th60</a>, <a class="txt" href="complsp2.html#E1:79"><i><font color="Green" title="E69">A1</font></i></a></i>
<br/>.= 
 <a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c2">x2</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span>

;<br/>
<b>hence </b><a NAME="E4:79"/>
<span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<span class="p2">(<span class="default"><a href="complsp1.html#K5" title="COMPLSP1:func.5">-</a> <font color="Maroon" title="c2">x2</font></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c2">x2</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span>
 ;<br/>


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