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<b>let </b><font color="Maroon">e</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="complfld.html#K1" target="_self">F_Complex</a> ;<br/>

<b>thus </b><a NAME="E1:77_1_2"/>
( <font color="Maroon">e</font> is    <a href="comptrig.html#M1">CRoot</a> of <font color="Maroon">n</font>,<font color="Maroon">x</font> implies <span class="p1">(<span class="default"><a href="group_1.html#K5">power</a> <a href="complfld.html#K1" target="_self">F_Complex</a> </span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">e</font>,<font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_2_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:77_1_2_1"/>
<font color="Maroon">e</font> is    <a href="comptrig.html#M1">CRoot</a> of <font color="Maroon">n</font>,<font color="Maroon">x</font>
 ;<br/>

<a NAME="E2:77_1_2_1"/><b>then </b>
<font color="Maroon">e</font> <a href="newton.html#K2">|^</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 
<b>by </b><i><a class="ref" href="comptrig.html#D2">COMPTRIG:def 2</a></i>;<br/>
<b>hence </b><a NAME="E3:77_1_2_1"/>
<span class="p1">(<span class="default"><a href="group_1.html#K5">power</a> <a href="complfld.html#K1" target="_self">F_Complex</a> </span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">e</font>,<font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 <b>by </b><i/>;<br/>


</div><b>end;</b></div>

<b>assume </b><a NAME="E2:77_1_2"/>
<span class="p1">(<span class="default"><a href="group_1.html#K5">power</a> <a href="complfld.html#K1" target="_self">F_Complex</a> </span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">e</font>,<font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 ;<br/>

<b>hence </b><a NAME="E3:77_1_2"/>
<font color="Maroon">e</font> <a href="newton.html#K2">|^</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="comptrig.html#D2">COMPTRIG:def 2</a><br/>


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