<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E16">Def5</font></span>   defines <a href="arytm_3.html#K3" title="ARYTM_3:func.3">hcf</a> <a onclick="hs(this)" href="javascript:()">ARYTM_3:def 5 : <br/></a><span> for <font color="Olive" title="b1">k</font>, <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>  holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">k</font> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">hcf</a> <font color="Olive" title="b2">n</font> iff ( <font color="Olive">b<sub>3</sub></font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b1">k</font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b2">n</font> &amp; (  for <font color="Olive" title="b4">m</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>  st <font color="Olive" title="b4">m</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b1">k</font> &amp; <font color="Olive" title="b4">m</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b2">n</font> holds <br/><font color="Olive" title="b4">m</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive">b<sub>3</sub></font> ) ) );<br/></span></div>
