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Proof step 5 from proof max_prime_divisor-nle (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: max_prime_divisor-def seq: ⊦ j | i ∧ prime(j) ∧ j < i ∧ (∀ j0. j < j0 ∧ j0 < i ∧ prime(j0) → ¬ j0 | i) → max_prime_divisor(i) = j subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used simplifier rules: lels-03: ⊦ i < j → (¬ ¬ j ≤ i ↔ false); from specification int-abs Used terms: j, i