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Proof step 4 from proof max_prime_divisor-prime (previous step)

¬ prime(i) ∧ 2 ≤ i → (∃ j. prime(j) ∧ j | i ∧ j < i ∧ (∀ j0. j < j0 ∧ j0 < i ∧ prime(j0) → ¬ j0 | i)), 2 ≤ i, 0 ≤ i, 0 < i ⊦ prime(max_prime_divisor(i)), prime(i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
2 ≤ i, 0 ≤ i, 0 < i, prime(j), j | i, j < i, ∀ j0. j < j0 ∧ j0 < i ∧ prime(j0) → ¬ j0 | i ⊦ prime(max_prime_divisor(i)), prime(i)

Proof step 4 from proof max_prime_divisor-prime (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information