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<b>let </b><font color="Maroon">i1</font> be   <a href="int_1.html#NM1">Integer</a>, <font color="Maroon">i2</font> be   <a href="int_1.html#NM1">Integer</a>;<br/><b>let </b><font color="Maroon">n1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">n2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>





<b>assume </b><a NAME="E1:1"/><i><font color="Green">E44</font></i>: 
( <font color="Maroon">i1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n1</font> &amp; <font color="Maroon">i2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n2</font> )
 ;<br/>

<a NAME="E2:1"/><i><font color="Green">E45</font></i>: 
 <a href="int_2.html#K1">abs</a> <font color="Maroon">i1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n1</font>
 
<b>by </b><i>, <a class="ref" href="absvalue.html#D1">ABSVALUE:def 1</a></i>;<br/>
<a NAME="E3:1"/>
 <a href="int_2.html#K1">abs</a> <font color="Maroon">i2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n2</font>
 
<b>by </b><i>, <a class="ref" href="absvalue.html#D1">ABSVALUE:def 1</a></i>;<br/>
<b>hence </b><a NAME="E4:1"/>
( <font color="Maroon">i1</font> <a href="int_1.html#R2">divides</a> <font color="Maroon">i2</font> iff <font color="Maroon">n1</font> <a href="nat_1.html#R1">divides</a> <font color="Maroon">n2</font> )
 <b>by </b><i>, <a class="ref" href="int_2.html#T21">INT_2:21</a></i>;<br/>


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