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Proof step 6 from proof max_prime_divisor-nls-zero (previous step)

max_prime_divisor(i) < 0, 0 < i, prime(max_prime_divisor(i)), 2 ≤ i, 0 ≤ i ⊦ prime(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ prime(j) ↔ 2 ≤ j ∧ (∀ i. 1 < i ∧ i < j → ¬ i | j)

Rule argument

spec: <toplevel> name: prime-def seq: ⊦ prime(j) ↔ 2 ≤ j ∧ (∀ i. 1 < i ∧ i < j → ¬ i | j) subst: [j] → [max_prime_divisor(i)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 < j → ¬ j ≤ i; (s) Used terms: max_prime_divisor(i)