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Proof step 14 from proof max_prime_divisor-ge2 (previous step)

max_prime_divisor(i) * i0 = i, i0 < i, 0 < i, i0 < 2, 0 ≤ i, 2 ≤ i ⊦ 0 < i0, prime(i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
max_prime_divisor(i) * i0 = i, i0 < i, 0 < i, i0 ≤ 0, 0 ≤ i, 2 ≤ i ⊦ prime(i)

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; (s)%forward-lele: ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward) from specification int-abs%forward-le-04: ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward) from specification int-abs%j0 ≠ 0, j < j0 ⊦ i ≤ (* j) → i < (* j0); (s)% ⊦ i < j ↔ ¬ j ≤ i; (ss)