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<b>let </b><font color="Maroon">i</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">j</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">h</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>





<b>assume </b><a NAME="E1:38"/>
( <font color="Maroon">i</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">j</font> &amp; <font color="Maroon">j</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">h</font> )
 ;<br/>

<a NAME="E2:38"/><b>then </b>
( <font color="Maroon">j</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">j</font> <a href="nat_1.html#K5" target="_self">div</a> <font color="Maroon">i</font></span>)</span> &amp; <font color="Maroon">h</font> <a href="hidden.html#R1">=</a> <font color="Maroon">j</font> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="nat_1.html#K5" target="_self">div</a> <font color="Maroon">j</font></span>)</span> )
 
<b>by </b><i/>;<br/>
<a NAME="E3:38"/><b>then </b>
<font color="Maroon">h</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">j</font> <a href="nat_1.html#K5" target="_self">div</a> <font color="Maroon">i</font></span>)</span> <a href="nat_1.html#K2" target="_self">*</a> <span class="p2">(<span class="default"><font color="Maroon">h</font> <a href="nat_1.html#K5" target="_self">div</a> <font color="Maroon">j</font></span>)</span></span>)</span>
 
;<br/>
<b>hence </b><a NAME="E4:38"/>
<font color="Maroon">i</font> <a href="nat_1.html#R1" target="_self">divides</a> <font color="Maroon">h</font>
 <b>by </b><i/>;<br/>


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