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<b>let </b><font color="Maroon" title="c1">x1</font>, <font color="Maroon" title="c2">x2</font>, <font color="Maroon" title="c3">y1</font>, <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#K2" title="NUMBERS:func.2">COMPLEX</a> ;<br/>

<b>assume </b><a NAME="E1:85"/><i><font color="Green" title="E74">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> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">x2</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="c3">y1</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">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/>

<a NAME="E2:85"/><b>then </b>
<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"><font color="Maroon" title="c3">y1</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <font color="Maroon" title="c4">y2</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> <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="c3">y1</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="binop_2.html#K4" title="BINOP_2:func.4">-</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="c4">y2</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span>
 
<b>by </b><i><a class="ref" href="complsp2.html#T72" target="_self" title="COMPLSP2:th.72">Th72</a></i>;<br/>
<a NAME="E3:85"/><b>then </b><i><font color="Green" title="E75">A2</font></i>: 
<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"><font color="Maroon" title="c3">y1</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <font color="Maroon" title="c4">y2</font></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="binop_2.html#K4" title="BINOP_2:func.4">-</a> <span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c2">x2</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">y1</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <font color="Maroon" title="c4">y2</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> <span class="p1">(<span class="default"><span class="p2"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c3">y1</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="binop_2.html#K4" title="BINOP_2:func.4">-</a> <span class="p2"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c4">y2</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span></span>)</span> <a href="binop_2.html#K4" title="BINOP_2:func.4">-</a> <span class="p1">(<span class="default"><span class="p2"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c2">x2</font>,<font color="Maroon" title="c3">y1</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="binop_2.html#K4" title="BINOP_2:func.4">-</a> <span class="p2"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c2">x2</font>,<font color="Maroon" title="c4">y2</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span></span>)</span>
 
<b>by </b><i><a class="txt" href="complsp2.html#E1:85"><i><font color="Green" title="E74">A1</font></i></a>, <a class="ref" href="complsp2.html#T72" target="_self" title="COMPLSP2:th.72">Th72</a></i>;<br/>
<a NAME="E4:85"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">y1</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <font color="Maroon" title="c4">y2</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="c3">y1</font>
 
<b>by </b><i><a class="txt" href="complsp2.html#E1:85"><i><font color="Green" title="E74">A1</font></i></a>, <a class="ref" href="complsp2.html#T7" target="_self" title="COMPLSP2:th.7">Th7</a></i>;<br/>
<b>hence </b><a NAME="E5:85"/>
<span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">x1</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <font color="Maroon" title="c2">x2</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">y1</font> <a href="complsp1.html#K4" title="COMPLSP1:func.4">-</a> <font color="Maroon" title="c4">y2</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> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c3">y1</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="binop_2.html#K4" title="BINOP_2:func.4">-</a> <span class="p3"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c1">x1</font>,<font color="Maroon" title="c4">y2</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span></span>)</span> <a href="binop_2.html#K4" title="BINOP_2:func.4">-</a> <span class="p2"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c2">x2</font>,<font color="Maroon" title="c3">y1</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span></span>)</span> <a href="binop_2.html#K3" title="BINOP_2:func.3">+</a> <span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c2">x2</font>,<font color="Maroon" title="c4">y2</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span>
 <b>by </b><i><a class="txt" href="complsp2.html#E1:85"><i><font color="Green" title="E74">A1</font></i></a>, <a class="txt" href="complsp2.html#E3:85"><i><font color="Green" title="E75">A2</font></i></a>, <a class="ref" href="complsp2.html#T70" target="_self" title="COMPLSP2:th.70">Th70</a></i>;<br/>


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