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Proof step 1 from proof max_prime_divisor-nls-02 (conclusion)

⊦ ¬ prime(i / max_prime_divisor(i)) ∧ ¬ prime(i) ∧ 2 ≤ i → ¬ max_prime_divisor(i) < max_prime_divisor(i / max_prime_divisor(i))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
max_prime_divisor(i) < max_prime_divisor(i / max_prime_divisor(i)), 2 ≤ i, 0 ≤ i, 0 < i ⊦ prime(i), prime(i / max_prime_divisor(i))

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-le: ⊦ i ≤ j ∧ 0 < i → 0 < j; (forward) from specification int-abs