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<b>let </b><font color="Maroon">x</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">c</font> be  <a href="xcmplx_0.html#V1">complex</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>



<a NAME="E1:51"/><i><font color="Green">E32</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">x</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E2:51"/><i><font color="Green">E33</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">x</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E3:51"/><i><font color="Green">E36</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <font color="Maroon">x</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">x</font>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <font color="Maroon">x</font></span>)</span> = 
<font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">x</font></span>)</span> <a href="complsp1.html#K3">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#D1" target="_self">Def1</a>, </i>
<br/>.= 
<font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="complsp1.html#K3">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <span class="p1">(<span class="default"><a href="complsp1.html#K11">0c</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Maroon">x</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="complsp2.html#E2:51"><i><font color="Green">E33</font></i></a></i>
<br/>.= 
 <a href="complsp1.html#K11">0c</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E5:51"/>
 <a href="complsp1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <font color="Maroon">x</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c</font> <a href="complsp1.html#K6">*</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">x</font></span>)</span>
 <b>by </b><i>, , <a class="txt" href="complsp2.html#E2"><i><font color="Green">Lemma43</font></i></a>, <a class="ref" href="complsp2.html#T1" target="_self">Th1</a></i>;<br/>


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