<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: EULER_2:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive" title="b1">m</font>,<font color="Olive" title="b2">n</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  iff  for <font color="Olive" title="b3">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">k</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b1">m</font> &amp; <font color="Olive" title="b3">k</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b2">n</font> holds <br/><font color="Olive" title="b3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 ) <span class="kw">by</span> <span class="lab"><a class="txt" href="euler_2.html#E25"><span class="lab"><font color="Green" title="E14">NOW</font></span></a></span>;<br/></div></div>
