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Proof step 5 from proof max_prime_divisor-nls-zero (previous step)

prime(max_prime_divisor(i)), 2 ≤ i, max_prime_divisor(i) < 0, 0 ≤ i, 0 < i, max_prime_divisor(i) + 1 < i ⊦ prime(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: prime-def seq: ⊦ prime(j) ↔ 2 ≤ j ∧ (∀ i. 1 < i ∧ i < j → ¬ i | j) subst: [j] → [max_prime_divisor(i)] flags: rewrite, current

Additional information

Used simplifier rules: zero-gels-02: ⊦ i < 0 ∧ 0 < j → ¬ j ≤ i; from specification int-abs Used terms: max_prime_divisor(i)