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Proof step 14 from proof all_prime_divisors-div (previous step)

2 ≤ j, 0 < j, prime(i), i | j, 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 ⊦ i | j / max_prime_divisor(j) ∧ prime(i) ∧ 0 < j / max_prime_divisor(j), all_prime_divisors(j / i) = (all_prime_divisors(j / max_prime_divisor(j)) + max_prime_divisor(j) ') -1l i, prime(j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%max_prime_divisor-nle-zero-01: ⊦ ¬ prime(i) ∧ 2 ≤ i → ¬ i / max_prime_divisor(i) ≤ 0; from specification int-gcd%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs