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

<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="rat_1.html#NM1">Rational</a>;<br/>

<b>assume </b><a NAME="E1:39"/>
<font color="Maroon">c<sub>2</sub></font> is   <a href="int_1.html#NM1">Integer</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>2</sub></font> as   <a href="int_1.html#NM1">Integer</a> ;<br/>
<a NAME="E3:39"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="xcmplx_0.html#K7">/</a> 1
 
;<br/>
<a NAME="E4:39"/><b>then </b><i><font color="Green">E25</font></i>: 
 <a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 1
 
<b>by </b><i><a class="ref" href="rat_1.html#D3" target="_self">Def3</a></i>;<br/>
<a NAME="E5:39"/>
1 <a href="xxreal_0.html#R1">&lt;=</a>  <a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="rat_1.html#T29" target="_self">Th29</a></i>;<br/>
<b>hence </b><a NAME="E6:39"/><i><font color="Green">E26</font></i>: 
 <a href="rat_1.html#K1" target="_self">denominator</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i><a class="txt" href="rat_1.html#E4:39"><i><font color="Green">E25</font></i></a>, <a class="ref" href="xxreal_0.html#T1">XXREAL_0:1</a></i>;<br/>

<b>thus </b><a NAME="E7:39"/>
 <a href="rat_1.html#K2" target="_self">numerator</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="rat_1.html#E6:39"><i><font color="Green">E26</font></i></a></i>;<br/>


</div>
