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

<span class="kw">let </span><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font> be   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  or <font color="Maroon" title="c2">a</font> is  <a href="abian.html#V1" title="ABIAN:attr.1">odd</a>  or <font color="Maroon" title="c3">b</font> is  <a href="abian.html#V1" title="ABIAN:attr.1">odd</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:62"/><span class="lab"><font color="Green" title="E22">A1</font></span>: 
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">a</font> is  <a href="abian.html#V1" title="ABIAN:attr.1">odd</a>  or <font color="Maroon" title="c3">b</font> is  <a href="abian.html#V1" title="ABIAN:attr.1">odd</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E2:62"/>
(  not <font color="Maroon" title="c2">a</font> is  <a href="abian.html#V1" title="ABIAN:attr.1">odd</a>  &amp;  not <font color="Maroon" title="c3">b</font> is  <a href="abian.html#V1" title="ABIAN:attr.1">odd</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<a NAME="E3:62"/><span class="kw">then </span>
<font color="Maroon" title="c2">a</font> <a href="newton03.html#K2" title="NEWTON03:func.2">gcd</a> <font color="Maroon" title="c3">b</font> is  <a href="abian.html#V1" title="ABIAN:attr.1">even</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E4:62"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:62"><span class="lab"><font color="Green" title="E22">A1</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
