<jupyter_start><jupyter_text>Fibonacci ricorsive method<jupyter_code>def fib_ric(number, values=[0,1], i = 2):
    first_val = values[len(values) - 2]
    second_val = values[len(values) - 1]
    if i >= number:
        return values
    else:
        return fib_ric(number, values + [first_val + second_val], i+1)
fib_ric(10)<jupyter_output><empty_output><jupyter_text>Proof<jupyter_code>Require Import Arith.
(* Because do not autorollback I do not know why *)
Reset specification_of_fibonacci.
Definition specification_of_fibonacci (fib : nat -> nat) :=
  fib 0 = 0
  /\
  fib 1 = 1
  /\
  forall n'' : nat,
    fib (S (S n'')) = fib (S n'') + fib n''.<jupyter_output><empty_output>
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