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<b>let </b><font color="Maroon">x1</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> , <font color="Maroon">x2</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> , <font color="Maroon">y1</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> , <font color="Maroon">y2</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>

<b>assume </b><a NAME="E1:84"/><i><font color="Green">E32</font></i>: 
(  <a href="finseq_1.html#K3">len</a> <font color="Maroon">x1</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">x2</font> &amp;  <a href="finseq_1.html#K3">len</a> <font color="Maroon">x2</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">y1</font> &amp;  <a href="finseq_1.html#K3">len</a> <font color="Maroon">y1</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">y2</font> )
 ;<br/>

<a NAME="E2:84"/><b>then </b>
<span class="p1"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x1</font> <a href="complsp1.html#K3">+</a> <font color="Maroon">x2</font></span>)</span>,<font color="Maroon">y2</font></span><a href="complsp2.html#K8" target="_self">)|</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">y2</font></span><a href="complsp2.html#K8" target="_self">)|</a></span> <a href="binop_2.html#K3">+</a> <span class="p1"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x2</font>,<font color="Maroon">y2</font></span><a href="complsp2.html#K8" target="_self">)|</a></span>
 
<b>by </b><i><a class="ref" href="complsp2.html#T10" target="_self">Th10</a></i>;<br/>
<a NAME="E3:84"/><b>then </b><i><font color="Green">E33</font></i>: 
<span class="p1"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x1</font> <a href="complsp1.html#K3">+</a> <font color="Maroon">x2</font></span>)</span>,<font color="Maroon">y1</font></span><a href="complsp2.html#K8" target="_self">)|</a></span> <a href="binop_2.html#K3">+</a> <span class="p1"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x1</font> <a href="complsp1.html#K3">+</a> <font color="Maroon">x2</font></span>)</span>,<font color="Maroon">y2</font></span><a href="complsp2.html#K8" target="_self">)|</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">y1</font></span><a href="complsp2.html#K8" target="_self">)|</a></span> <a href="binop_2.html#K3">+</a> <span class="p2"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x2</font>,<font color="Maroon">y1</font></span><a href="complsp2.html#K8" target="_self">)|</a></span></span>)</span> <a href="binop_2.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">y2</font></span><a href="complsp2.html#K8" target="_self">)|</a></span> <a href="binop_2.html#K3">+</a> <span class="p2"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x2</font>,<font color="Maroon">y2</font></span><a href="complsp2.html#K8" target="_self">)|</a></span></span>)</span>
 
<b>by </b><i><a class="ref" href="complsp2.html#T16" target="_self">Th16</a>, <a class="ref" href="complsp2.html#T10" target="_self">Th10</a></i>;<br/>
<a NAME="E4:84"/>
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">x1</font> <a href="complsp1.html#K3">+</a> <font color="Maroon">x2</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">x1</font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T16" target="_self">Th16</a>, </i>;<br/>
<b>hence </b><a NAME="E5:84"/>
<span class="p1"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x1</font> <a href="complsp1.html#K3">+</a> <font color="Maroon">x2</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">y1</font> <a href="complsp1.html#K3">+</a> <font color="Maroon">y2</font></span>)</span></span><a href="complsp2.html#K8" target="_self">)|</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">y1</font></span><a href="complsp2.html#K8" target="_self">)|</a></span> <a href="binop_2.html#K3">+</a> <span class="p3"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">y2</font></span><a href="complsp2.html#K8" target="_self">)|</a></span></span>)</span> <a href="binop_2.html#K3">+</a> <span class="p2"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x2</font>,<font color="Maroon">y1</font></span><a href="complsp2.html#K8" target="_self">)|</a></span></span>)</span> <a href="binop_2.html#K3">+</a> <span class="p1"><a href="complsp2.html#K8" target="_self">|(</a><span class="default"><font color="Maroon">x2</font>,<font color="Maroon">y2</font></span><a href="complsp2.html#K8" target="_self">)|</a></span>
 <b>by </b><i><a class="ref" href="complsp2.html#T16" target="_self">Th16</a>, , <a class="ref" href="complsp2.html#T12" target="_self">Th12</a></i>;<br/>


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