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Proof step 1 from proof max_prime_divisor-nle (conclusion)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: forward-lele: ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward) from specification int-abs%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