<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="int_1.html#NM1">Integer</a>;<br/>





<b>assume </b><a NAME="E1:59"/><i><font color="Green">E48</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1 )
 ;<br/>

<a NAME="E2:59"/><b>then </b><i><font color="Green">E49</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="ref" href="prepower.html#D3" target="_self">Def3</a></i>;<br/>
<a NAME="E3:59"/><i><font color="Green">E50</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> st <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1 holds <br/><span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Olive">b<sub>1</sub></font></span>)</span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="59_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:59_1"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1
 <b>and </b><br/><a NAME="E2:59_1"/><i><font color="Green">E52</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 ;<br/>

<a NAME="E3:59_1"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="txt" href="prepower.html#E1:59"><i><font color="Green">E48</font></i></a>, <a class="ref" href="prepower.html#T13" target="_self">Th13</a></i>;<br/>
<b>then </b><i><font color="Green">E54</font></i>: <font color="Maroon">c<sub>4</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E1:59"><i><font color="Green">E48</font></i></a>, <a class="txt" href="prepower.html#E1:59_1"><i><font color="Green">E51</font></i></a>, <a class="ref" href="prepower.html#T34" target="_self">Th34</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E1:59"><i><font color="Green">E48</font></i></a>, <a class="txt" href="prepower.html#E1:59_1"><i><font color="Green">E51</font></i></a>, <a class="txt" href="prepower.html#E3:59_1"><i><font color="Green">E53</font></i></a>, <a class="ref" href="prepower.html#T34" target="_self">Th34</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="txt" href="prepower.html#E1:59"><i><font color="Green">E48</font></i></a>, <a class="txt" href="prepower.html#E1:59_1"><i><font color="Green">E51</font></i></a>, <a class="txt" href="prepower.html#E33"><i><font color="Green">Lemma20</font></i></a></i>
;<br/>
<a NAME="E5:59_1"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="txt" href="prepower.html#E2:59"><i><font color="Green">E49</font></i></a>, <a class="txt" href="prepower.html#E1:59_1"><i><font color="Green">E51</font></i></a>, <a class="txt" href="prepower.html#E33"><i><font color="Green">Lemma20</font></i></a></i>;<br/>
<a NAME="E6:59_1"/><i><font color="Green">E56</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 
<b>by </b><i><a class="txt" href="prepower.html#E2:59"><i><font color="Green">E49</font></i></a>, <a class="ref" href="prepower.html#T13" target="_self">Th13</a></i>;<br/>
<a NAME="E7:59_1"/><i><font color="Green">E57</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 
<b>by </b><i><a class="txt" href="prepower.html#E1:59"><i><font color="Green">E48</font></i></a>, <a class="txt" href="prepower.html#E3:59_1"><i><font color="Green">E53</font></i></a>, <a class="ref" href="prepower.html#D3" target="_self">Def3</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="59_1_2"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:59_1_2"/>
( <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> or <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> )
 </span><b>by </b><i><a class="txt" href="prepower.html#E2:59_1"><i><font color="Green">E52</font></i></a>, <a class="ref" href="real_1.html#D5">REAL_1:def 5</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="59_1_2_1"><b>suppose </b></a><a NAME="E1:59_1_2_1"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:59_1_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="prepower.html#E1:59_1"><i><font color="Green">E51</font></i></a>, <a class="txt" href="prepower.html#E4:59_1"><i><font color="Green">E54</font></i></a>, <a class="txt" href="prepower.html#E6:59_1"><i><font color="Green">E56</font></i></a>, <a class="txt" href="prepower.html#E33"><i><font color="Green">Lemma20</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="59_1_2_2"><b>suppose </b></a><a NAME="E1:59_1_2_2"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:59_1_2_2"/>
contradiction
 <b>by </b><i><a class="txt" href="prepower.html#E1:59_1"><i><font color="Green">E51</font></i></a>, <a class="txt" href="prepower.html#E4:59_1"><i><font color="Green">E54</font></i></a>, <a class="txt" href="prepower.html#E5:59_1"><i><font color="Green">E55</font></i></a>, <a class="txt" href="prepower.html#E7:59_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="prepower.html#T37" target="_self">Th37</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="59_2"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:59_2"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 or <font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1">&lt;</a> 0 or <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> 0 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="59_2_1"><b>suppose </b></a><a NAME="E1:59_2_1"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/><div class="add"><a NAME="E2:59_2_1"/><b>then </b>
 <a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 <b>by </b><i><a class="ref" href="absvalue.html#D1">ABSVALUE:def 1</a></i>;<br/><a NAME="E3:59_2_1"/><b>then </b><i><font color="Green">E52</font></i>: 
 <a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></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/><b>thus </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="prepower.html#K6" target="_self">#Z</a> <font color="Maroon">c<sub>3</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <span class="p1">(<span class="default"><a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E1:59_2_1"><i><font color="Green">E51</font></i></a>, <a class="ref" href="prepower.html#D4" target="_self">Def4</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <span class="p2">(<span class="default"><a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E3:59"><i><font color="Green">E50</font></i></a>, <a class="txt" href="prepower.html#E3:59_2_1"><i><font color="Green">E52</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K6" target="_self">#Z</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E1:59_2_1"><i><font color="Green">E51</font></i></a>, <a class="ref" href="prepower.html#D4" target="_self">Def4</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="59_2_2"><b>suppose </b></a><a NAME="E1:59_2_2"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1">&lt;</a> 0
 ;<br/><div class="add"><a NAME="E2:59_2_2"/><b>then </b>
 <a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 <b>by </b><i><a class="ref" href="complex1.html#T133">COMPLEX1:133</a></i>;<br/><a NAME="E3:59_2_2"/><b>then </b><i><font color="Green">E52</font></i>: 
 <a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></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="E4:59_2_2"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <span class="p1">(<span class="default"><a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 <b>by </b><i><a class="txt" href="prepower.html#E1:59"><i><font color="Green">E48</font></i></a>, <a class="ref" href="prepower.html#T13" target="_self">Th13</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="prepower.html#K6" target="_self">#Z</a> <font color="Maroon">c<sub>3</sub></font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K2">|^</a> <span class="p2">(<span class="default"><a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K5">"</a> 
<b>by </b><i><a class="txt" href="prepower.html#E1:59_2_2"><i><font color="Green">E51</font></i></a>, <a class="ref" href="prepower.html#D4" target="_self">Def4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <span class="p3">(<span class="default"><a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K5">"</a> 
<b>by </b><i><a class="txt" href="prepower.html#E3:59"><i><font color="Green">E50</font></i></a>, <a class="txt" href="prepower.html#E3:59_2_2"><i><font color="Green">E52</font></i></a></i>
<br/>.= 
1 <a href="xcmplx_0.html#K7">/</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <span class="p3">(<span class="default"><a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xcmplx_1.html#T217">XCMPLX_1:217</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K7">/</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <span class="p3">(<span class="default"><a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E1:59"><i><font color="Green">E48</font></i></a>, <a class="txt" href="prepower.html#E4:59_2_2"><i><font color="Green">E53</font></i></a>, <a class="ref" href="prepower.html#T32" target="_self">Th32</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="newton.html#K2">|^</a> <span class="p3">(<span class="default"><a href="prepower.html#K1" target="_self">abs</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K5">"</a> </span>)</span>
<b>by </b><i><a class="ref" href="xcmplx_1.html#T217">XCMPLX_1:217</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K6" target="_self">#Z</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E1:59_2_2"><i><font color="Green">E51</font></i></a>, <a class="ref" href="prepower.html#D4" target="_self">Def4</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="59_2_3"><b>suppose </b></a><a NAME="E1:59_2_3"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><b>then </b><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K6" target="_self">#Z</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> = 
<font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K5" target="_self">-Root</a> 1
<b>by </b><i><a class="ref" href="prepower.html#T44" target="_self">Th44</a></i>
<br/>.= 
1
<b>by </b><i><a class="txt" href="prepower.html#E1:59"><i><font color="Green">E48</font></i></a>, <a class="ref" href="prepower.html#T29" target="_self">Th29</a></i>
;<br/><b>hence </b><a NAME="E3:59_2_3"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="prepower.html#K6" target="_self">#Z</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="prepower.html#K4" target="_self">-Root</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K6" target="_self">#Z</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="prepower.html#E1:59_2_3"><i><font color="Green">E51</font></i></a>, <a class="ref" href="prepower.html#T44" target="_self">Th44</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
