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Proof step 1 from proof all_prime_divisors-rec-02 (conclusion)

⊦ prime(i) ∧ 0 < j → #oc(i, all_prime_divisors(i * j)) = #oc(i, all_prime_divisors(j)) + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
prime(i), 0 < j ⊦ #oc(i, all_prime_divisors(i * j)) = #oc(i, all_prime_divisors(j)) + 1

Rule argument

Additional information

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