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<b>let </b><font color="Maroon">m1</font> be   <a href="nat_1.html#NM1">Nat</a>, <font color="Maroon">m2</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:46_1_2"/><i><font color="Green">E88</font></i>: 
( <font color="Maroon">k</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">m1</font> &amp; <font color="Maroon">n</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">m1</font> &amp; ( for <font color="Olive">m</font> being  <a href="nat_1.html#NM1">Nat</a>  st <font color="Maroon">k</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Olive">m</font> &amp; <font color="Maroon">n</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Olive">m</font> holds <br/><font color="Maroon">m1</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Olive">m</font> ) )
 <b>and </b><br/><a NAME="E2:46_1_2"/><i><font color="Green">E89</font></i>: 
( <font color="Maroon">k</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">m2</font> &amp; <font color="Maroon">n</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">m2</font> &amp; ( for <font color="Olive">m</font> being  <a href="nat_1.html#NM1">Nat</a>  st <font color="Maroon">k</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Olive">m</font> &amp; <font color="Maroon">n</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Olive">m</font> holds <br/><font color="Maroon">m2</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Olive">m</font> ) )
 ;<br/>

<a NAME="E3:46_1_2"/>
( <font color="Maroon">m1</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">m2</font> &amp; <font color="Maroon">m2</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">m1</font> )
 
<b>by </b><i><a class="ref" href="nat_1.html#T2" target="_self">Th2</a>, </i>;<br/>
<b>hence </b><a NAME="E4:46_1_2"/>
<font color="Maroon">m1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m2</font>
 <b>by </b><i/>;<br/>


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