<?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="rat_1.html#NM1">Rational</a>;<br/>





<b>assume </b><a NAME="E1:66"/><i><font color="Green">E52</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 &amp; <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="real_1.html#K2">"</a>  )
 ;<br/>

<a NAME="E2:66"/><b>then </b><i><font color="Green">E53</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
;<br/>
<a NAME="E3:66"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> 1 <a href="real_1.html#K6">/</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="prepower.html#E1:66"><i><font color="Green">E52</font></i></a>, <a class="ref" href="xcmplx_1.html#T217">XCMPLX_1:217</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>2</sub></font> as   <a href="rat_1.html#NM1">Rational</a> ;<br/>
<a NAME="E5:66"/>
(  <a href="rat_1.html#K2">numerator</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="rat_1.html#K1">denominator</a> <font color="Maroon">c<sub>4</sub></font> &amp;  <a href="rat_1.html#K1">denominator</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="rat_1.html#K2">numerator</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="txt" href="prepower.html#E2:66"><i><font color="Green">E53</font></i></a>, <a class="txt" href="prepower.html#E3:66"><i><font color="Green">E54</font></i></a>, <a class="ref" href="rat_1.html#T88">RAT_1:88</a></i>;<br/>
<a NAME="E6:66"/><b>then </b><i><font color="Green">E55</font></i>: 
(  <a href="rat_1.html#K2">numerator</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> 1 &amp;  <a href="rat_1.html#K1">denominator</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> )
 
<b>by </b><i><a class="ref" href="rat_1.html#T40">RAT_1:40</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>5</sub></font> = 1 as   <a href="int_1.html#NM1">Integer</a> ;<br/>
<b>thus </b><font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K8" target="_self">#Q</a> <font color="Maroon">c<sub>3</sub></font> = 
<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>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E6:66"><i><font color="Green">E55</font></i></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="ref" href="prepower.html#T45" target="_self">Th45</a></i>
;<br/>


</div>
