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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>

<b>assume </b><a NAME="E1:44"/><i><font color="Green">E35</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E2:44"/><i><font color="Green">E36</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T5" target="_self">Th5</a></i>;<br/>
<a NAME="E3:44"/><i><font color="Green">E37</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T5" target="_self">Th5</a></i>;<br/>
<a NAME="E4:44"/><i><font color="Green">E38</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K3">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="complsp2.html#T6" target="_self">Th6</a>, <a class="txt" href="complsp2.html#E1:44"><i><font color="Green">E35</font></i></a></i>;<br/>
<a NAME="E5:44"/><i><font color="Green">E39</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></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">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="complsp2.html#T6" target="_self">Th6</a>, <a class="txt" href="complsp2.html#E3:44"><i><font color="Green">E37</font></i></a>, <a class="txt" href="complsp2.html#E1:44"><i><font color="Green">E35</font></i></a>, <a class="txt" href="complsp2.html#E2:44"><i><font color="Green">E36</font></i></a></i>;<br/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K3">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K3">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T28" target="_self">Th28</a>, <a class="txt" href="complsp2.html#E1:44"><i><font color="Green">E35</font></i></a>, <a class="txt" href="complsp2.html#E2:44"><i><font color="Green">E36</font></i></a>, <a class="txt" href="complsp2.html#E3:44"><i><font color="Green">E37</font></i></a>, <a class="txt" href="complsp2.html#E4:44"><i><font color="Green">E38</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="complsp1.html#K3">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T29" target="_self">Th29</a>, <a class="txt" href="complsp2.html#E1:44"><i><font color="Green">E35</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="complsp1.html#K3">+</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K3">+</a> <span class="p3">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T28" target="_self">Th28</a>, <a class="txt" href="complsp2.html#E1:44"><i><font color="Green">E35</font></i></a>, <a class="txt" href="complsp2.html#E3:44"><i><font color="Green">E37</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="complsp1.html#K3">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K11">0c</a> <span class="p3">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T34" target="_self">Th34</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="complsp1.html#K3">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T33" target="_self">Th33</a>, <a class="txt" href="complsp2.html#E1:44"><i><font color="Green">E35</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">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T34" target="_self">Th34</a></i>
;<br/>
<b>hence </b><a NAME="E7:44"/>
 <a href="complsp1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K3">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complsp1.html#K3">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K5">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="complsp2.html#T32" target="_self">Th32</a>, <a class="txt" href="complsp2.html#E1:44"><i><font color="Green">E35</font></i></a>, <a class="txt" href="complsp2.html#E3:44"><i><font color="Green">E37</font></i></a>, <a class="txt" href="complsp2.html#E4:44"><i><font color="Green">E38</font></i></a>, <a class="txt" href="complsp2.html#E5:44"><i><font color="Green">E39</font></i></a></i>;<br/>


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