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Proof step 9 from proof all_prime_divisors-div (previous step)

prime(j), i | j, prime(i), 0 < j, ∀ j0, i. i→n(j0) < i→n(j) → i | j0 ∧ prime(i) ∧ 0 < j0 → all_prime_divisors(j0 / i) = all_prime_divisors(j0) -1l i ⊦ all_prime_divisors(j / i) = j ' -1l i, 2 ≤ j ∧ ¬ prime(j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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