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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="int_1.html#NM1">Integer</a>;<br/>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:14_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="abian.html#V1">even</a>
 ;<br/><b>then reconsider </b><font color="Maroon">c<sub>2</sub></font> = <font color="Maroon">c<sub>1</sub></font> as  <a href="abian.html#V1">even</a> <a href="int_1.html#NM1">Integer</a> ;<br/><a NAME="E3:14_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="pepin.html#K2">^2</a>  is <a href="abian.html#V1">even</a>
 ;<br/><b>hence </b><a NAME="E4:14_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="pepin.html#K2">^2</a>  is <a href="abian.html#V1">even</a>
 ;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:14"/><i><font color="Green">E6</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="pepin.html#K2">^2</a>  is <a href="abian.html#V1">even</a>
 ;<br/>

<b>assume </b><a NAME="E3:14"/>
not <font color="Maroon">c<sub>1</sub></font> is <a href="abian.html#V1">even</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon">c<sub>2</sub></font> = <font color="Maroon">c<sub>1</sub></font> as  <a href="abian.html#V1">odd</a> <a href="int_1.html#NM1">Integer</a> ;<br/>
<a NAME="E5:14"/>
not <font color="Maroon">c<sub>2</sub></font> <a href="pepin.html#K2">^2</a>  is <a href="abian.html#V1">even</a>
 
;<br/>
<b>hence </b><a NAME="E6:14"/>
contradiction
 <b>by </b><i><a class="txt" href="pythtrip.html#E2:14"><i><font color="Green">E6</font></i></a></i>;<br/>


</div>
