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<b>let </b><font color="Maroon">z1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">z2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>



 <a href="sin_cos.html#K18" target="_self">exp</a> <span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="complex1.html#K8">+</a> <font color="Maroon">z2</font></span>)</span> = 
 <a href="comseq_3.html#K8">Sum</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="complex1.html#K8">+</a> <font color="Maroon">z2</font></span>)</span> <a href="sin_cos.html#K6" target="_self">ExpSeq</a> </span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="comseq_3.html#K8">Sum</a> <span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="sin_cos.html#K6" target="_self">ExpSeq</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p1">(<span class="default"><a href="comseq_3.html#K8">Sum</a> <span class="p2">(<span class="default"><font color="Maroon">z2</font> <a href="sin_cos.html#K6" target="_self">ExpSeq</a> </span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="sin_cos.html#K18" target="_self">exp</a> <font color="Maroon">z1</font></span>)</span> <a href="complex1.html#K9">*</a> <span class="p1">(<span class="default"><a href="comseq_3.html#K8">Sum</a> <span class="p2">(<span class="default"><font color="Maroon">z2</font> <a href="sin_cos.html#K6" target="_self">ExpSeq</a> </span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="sin_cos.html#K18" target="_self">exp</a> <font color="Maroon">z1</font></span>)</span> <a href="complex1.html#K9">*</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K18" target="_self">exp</a> <font color="Maroon">z2</font></span>)</span>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:47"/>
 <a href="sin_cos.html#K18" target="_self">exp</a> <span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="complex1.html#K8">+</a> <font color="Maroon">z2</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K18" target="_self">exp</a> <font color="Maroon">z1</font></span>)</span> <a href="complex1.html#K9">*</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K18" target="_self">exp</a> <font color="Maroon">z2</font></span>)</span>
 ;<br/>


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