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<b>let </b><font color="Maroon">p</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">q</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<a href="sin_cos.html#K27" target="_self">exp_R</a>  <a href="seq_1.html#K2">.</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">q</font></span>)</span> = 
 <a href="series_1.html#K2">Sum</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">q</font></span>)</span> <a href="sin_cos.html#K7" target="_self">ExpSeq</a> </span>)</span>
<b>by </b><i><a class="ref" href="sin_cos.html#T3" target="_self">Th3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="series_1.html#K2">Sum</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="sin_cos.html#K7" target="_self">ExpSeq</a> </span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><a href="series_1.html#K2">Sum</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="sin_cos.html#K7" target="_self">ExpSeq</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="sin_cos.html#T1" target="_self">Th1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="sin_cos.html#K27" target="_self">exp_R</a>  <a href="seq_1.html#K2">.</a> <font color="Maroon">p</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><a href="series_1.html#K2">Sum</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="sin_cos.html#K7" target="_self">ExpSeq</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="sin_cos.html#T3" target="_self">Th3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="sin_cos.html#K27" target="_self">exp_R</a>  <a href="seq_1.html#K2">.</a> <font color="Maroon">p</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K27" target="_self">exp_R</a>  <a href="seq_1.html#K2">.</a> <font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="sin_cos.html#T3" target="_self">Th3</a></i>
;<br/>
<b>hence </b><a NAME="E2:96"/>
<a href="sin_cos.html#K27" target="_self">exp_R</a>  <a href="seq_1.html#K2">.</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">q</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K27" target="_self">exp_R</a>  <a href="seq_1.html#K2">.</a> <font color="Maroon">p</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K27" target="_self">exp_R</a>  <a href="seq_1.html#K2">.</a> <font color="Maroon">q</font></span>)</span>
 ;<br/>


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