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

<b>let </b><font color="Maroon" title="c3">m1</font>, <font color="Maroon" title="c4">m2</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:27_1_2"/><i><font color="Green" title="E20">A13</font></i>: 
( <font color="Maroon" title="c1">k</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Maroon" title="c3">m1</font> &amp; <font color="Maroon" title="c2">n</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Maroon" title="c3">m1</font> &amp; ( for <font color="Olive" title="b1">m</font> being <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a> <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a>  st <font color="Maroon" title="c1">k</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b1">m</font> &amp; <font color="Maroon" title="c2">n</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b1">m</font> holds <br/><font color="Maroon" title="c3">m1</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b1">m</font> ) )
 <b>and </b><br/><a NAME="E2:27_1_2"/><i><font color="Green" title="E21">A14</font></i>: 
( <font color="Maroon" title="c1">k</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Maroon" title="c4">m2</font> &amp; <font color="Maroon" title="c2">n</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Maroon" title="c4">m2</font> &amp; ( for <font color="Olive" title="b1">m</font> being <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a> <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a>  st <font color="Maroon" title="c1">k</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b1">m</font> &amp; <font color="Maroon" title="c2">n</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b1">m</font> holds <br/><font color="Maroon" title="c4">m2</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Olive" title="b1">m</font> ) )
 ;<br/>

<a NAME="E3:27_1_2"/>
( <font color="Maroon" title="c3">m1</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Maroon" title="c4">m2</font> &amp; <font color="Maroon" title="c4">m2</font> <a href="arytm_3.html#R2" title="ARYTM_3:pred.2">divides</a> <font color="Maroon" title="c3">m1</font> )
 
<b>by </b><i><a class="txt" href="arytm_3.html#E1:27_1_2"><i><font color="Green" title="E20">A13</font></i></a>, <a class="txt" href="arytm_3.html#E2:27_1_2"><i><font color="Green" title="E21">A14</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:27_1_2"/>
<font color="Maroon" title="c3">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">m2</font>
 <b>by </b><i><a class="ref" href="arytm_3.html#T13" target="_self" title="ARYTM_3:th.13">Th13</a></i>;<br/>


</div>
