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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="xcmplx_0.html#V1">complex</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<b>assume </b><a NAME="E1:10"/>
(  <a href="complex1.html#K3" target="_self">Re</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K3" target="_self">Re</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="complex1.html#K4" target="_self">Im</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K4" target="_self">Im</a> <font color="Maroon">c<sub>2</sub></font> )
 ;<br/>

<b>hence </b><font color="Maroon">c<sub>1</sub></font> = 
<span class="p1"><a href="arytm_0.html#K5">[*</a><span class="default"><span class="p2">(<span class="default"><a href="complex1.html#K3" target="_self">Re</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="complex1.html#K4" target="_self">Im</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span><a href="arytm_0.html#K5">*]</a></span>
<b>by </b><i><a class="txt" href="complex1.html#E13"><i><font color="Green">Lemma9</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="complex1.html#E13"><i><font color="Green">Lemma9</font></i></a></i>
;<br/><br/>


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