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

<a NAME="E1:84"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">n</font>,<font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1 <a href="int_2.html#R2">are_relative_prime</a> 
 
<b>by </b><i><a class="ref" href="pepin.html#T1">PEPIN:1</a></i>;<br/>
<span class="p1">(<span class="default"><a href="pre_ff.html#K3">Fib</a> <font color="Maroon">n</font></span>)</span> <a href="nat_1.html#K10">hcf</a> <span class="p1">(<span class="default"><a href="pre_ff.html#K3">Fib</a> <span class="p2">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> = 
 <a href="pre_ff.html#K3">Fib</a> <span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K10">hcf</a> <span class="p2">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="fib_num.html#T5">FIB_NUM:5</a></i>
<br/>.= 
1
<b>by </b><i>, <a class="ref" href="int_2.html#D6">INT_2:def 6</a>, <a class="ref" href="pre_ff.html#T1">PRE_FF:1</a></i>
;<br/>
<b>hence </b><a NAME="E3:84"/>
 <a href="pre_ff.html#K3">Fib</a> <font color="Maroon">n</font>, <a href="pre_ff.html#K3">Fib</a> <span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="int_2.html#R2">are_relative_prime</a> 
 <b>by </b><i><a class="ref" href="int_2.html#D6">INT_2:def 6</a></i>;<br/>


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