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<b>let </b><font color="Maroon">n</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">x</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">v</font> be    <a href="comptrig.html#M1" target="_self">CRoot</a> of <font color="Maroon">n</font>,<font color="Maroon">x</font>;<br/>





<b>assume </b><a NAME="E1:70"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">v</font> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<a NAME="E2:70"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">n</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 <a href="nat_1.html#K1">+</a> 1
 
<b>by </b><i><a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/>
<a NAME="E3:70"/>
0 <a href="newton.html#K3">|^</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 
<b>by </b><i><a class="txt" href="comptrig.html#E25"><i><font color="Green">Lemma54</font></i></a>, <a class="txt" href="comptrig.html#E26"><i><font color="Green">Lemma55</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:70"/>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="ref" href="newton.html#T16">NEWTON:16</a>, <a class="txt" href="comptrig.html#E27"><i><font color="Green">Lemma56</font></i></a></i>;<br/>


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