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<b>let </b><font color="Maroon">a</font> be   <a href="int_1.html#NM1">Integer</a>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="int_1.html#NM1">Integer</a>;<br/><b>let </b><font color="Maroon">c</font> be   <a href="int_1.html#NM1">Integer</a>;<br/>





<b>assume </b><a NAME="E1:9"/>
<font color="Maroon">a</font> <a href="int_1.html#R2">divides</a> <font color="Maroon">b</font>
 ;<br/>

<b>then consider </b><font color="Maroon">d</font> being   <a href="int_1.html#NM1">Integer</a><b> such that </b><br/><a NAME="E3:9"/><i><font color="Green">E10</font></i>: 
<font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">d</font>
 <b>by </b><i><a class="ref" href="int_1.html#D9">INT_1:def 9</a></i>;<br/>
<a NAME="E4:9"/>
<font color="Maroon">b</font> <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">d</font> <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">c</font></span>)</span>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:9"/>
<font color="Maroon">a</font> <a href="int_1.html#R2">divides</a> <font color="Maroon">b</font> <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">c</font>
 <b>by </b><i><a class="ref" href="int_1.html#D9">INT_1:def 9</a></i>;<br/>


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