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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>

<a NAME="E1:7"/>
 <a href="relat_1.html#K1">dom</a> <a href="sin_cos3.html#K3" target="_self">sinh_C</a>  <a href="hidden.html#R1">=</a>  <a href="numbers.html#K2">COMPLEX</a> 
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<b>then </b><a href="sin_cos3.html#K3" target="_self">sinh_C</a>  <a href="finseq_4.html#K4">/.</a> <font color="Maroon">c<sub>1</sub></font> = 
<a href="sin_cos3.html#K3" target="_self">sinh_C</a>  <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="finseq_4.html#D4">FINSEQ_4:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sin_cos.html#K18">exp</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complex1.html#K11">-</a> <span class="p2">(<span class="default"><a href="sin_cos.html#K18">exp</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K7">/</a> 2
<b>by </b><i><a class="ref" href="sin_cos3.html#D3" target="_self">Def3</a></i>
;<br/>
<b>hence </b><a NAME="E3:7"/>
<a href="sin_cos3.html#K3" target="_self">sinh_C</a>  <a href="finseq_4.html#K4">/.</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sin_cos.html#K18">exp</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complex1.html#K11">-</a> <span class="p2">(<span class="default"><a href="sin_cos.html#K18">exp</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K7">/</a> 2
 ;<br/>


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