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<b>let </b><font color="Maroon">a</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">b</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">c</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>





<b>assume </b><a NAME="E1:16"/>
( <font color="Maroon">a</font> <a href="nat_1.html#K10">hcf</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> 1 &amp; <font color="Maroon">c</font> <a href="nat_1.html#K10">hcf</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> 1 )
 ;<br/>

<a NAME="E2:16"/><b>then </b>
( <font color="Maroon">a</font> <a href="int_2.html#K3">gcd</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> 1 &amp; <font color="Maroon">c</font> <a href="int_2.html#K3">gcd</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i/>;<br/>
<a NAME="E3:16"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="nat_1.html#K2">*</a> <font color="Maroon">c</font></span>)</span> <a href="int_2.html#K3">gcd</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:16"/>
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="nat_1.html#K2">*</a> <font color="Maroon">c</font></span>)</span> <a href="nat_1.html#K10">hcf</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i/>;<br/>


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