| ¬ prime(i) ∧ 2 ≤ i → (∃ i0. max_prime_divisor(i) * i0 = i), 2 ≤ i, prime(j), j | i, 0 ≤ i, 0 < i ⊦ j = max_prime_divisor(i), j | i / max_prime_divisor(i), prime(i) |
max_prime_divisor(i) * i0 = i, 2 ≤ i, prime(j), j | i, 0 ≤ i, 0 < i ⊦ j = max_prime_divisor(i), j | i / max_prime_divisor(i), prime(i)