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<b>let </b><font color="Maroon">seq1</font> be   <a href="comseq_1.html#NM1">Complex_Sequence</a>;<br/><b>let </b><font color="Maroon">seq2</font> be   <a href="comseq_1.html#NM1">Complex_Sequence</a>;<br/>



<b>assume </b><a NAME="E1:21"/><i><font color="Green">E35</font></i>: 
(  <a href="comseq_3.html#K3" target="_self">Re</a> <font color="Maroon">seq1</font> <a href="funct_2.html#R2">=</a>  <a href="comseq_3.html#K3" target="_self">Re</a> <font color="Maroon">seq2</font> &amp;  <a href="comseq_3.html#K4" target="_self">Im</a> <font color="Maroon">seq1</font> <a href="funct_2.html#R2">=</a>  <a href="comseq_3.html#K4" target="_self">Im</a> <font color="Maroon">seq2</font> )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><i><font color="Green">E37</font></i>:  <a href="complex1.html#K3">Re</a> <span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K1">.</a> <font color="Maroon">n</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="comseq_3.html#K3" target="_self">Re</a> <font color="Maroon">seq2</font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">n</font>
<b>by </b><i>, </i>
<br/>.= 
 <a href="complex1.html#K3">Re</a> <span class="p1">(<span class="default"><font color="Maroon">seq2</font> <a href="comseq_1.html#K1">.</a> <font color="Maroon">n</font></span>)</span>
<b>by </b><i/>
;<br/> <a href="complex1.html#K4">Im</a> <span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K1">.</a> <font color="Maroon">n</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="comseq_3.html#K4" target="_self">Im</a> <font color="Maroon">seq2</font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">n</font>
<b>by </b><i>, </i>
<br/>.= 
 <a href="complex1.html#K4">Im</a> <span class="p1">(<span class="default"><font color="Maroon">seq2</font> <a href="comseq_1.html#K1">.</a> <font color="Maroon">n</font></span>)</span>
<b>by </b><i/>
;<br/><b>hence </b><a NAME="E3:21_1"/>
<font color="Maroon">seq1</font> <a href="comseq_1.html#K1">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">seq2</font> <a href="comseq_1.html#K1">.</a> <font color="Maroon">n</font>
 <b>by </b><i>, <a class="ref" href="complex1.html#T9">COMPLEX1:9</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:21"/>
<font color="Maroon">seq1</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">seq2</font>
 <b>by </b><i><a class="ref" href="comseq_1.html#T6">COMSEQ_1:6</a></i>;<br/>


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