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Proof step 1 from proof all_prime_divisors-div (conclusion)

⊦ 0 < j ∧ i | j ∧ prime(i) → all_prime_divisors(j / i) = all_prime_divisors(j) -1l i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i | j, prime(i), 0 < j ⊦ all_prime_divisors(j / i) = all_prime_divisors(j) -1l i

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs