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Proof step 8 from proof primes-max-even (previous step)

prime(max(ints)), ∀ i. i ∈ ints → prime(i) ⊦ ints = [], even(max(ints)) ↔ max(ints) = 2, 4 ∈ ints

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ ¬ odd(j) → (prime(j) ↔ j = 2)
Proof step 10:
¬ ¬ odd(max(ints)), prime(max(ints)), ∀ i. i ∈ ints → prime(i) ⊦ ints = [], even(max(ints)) ↔ max(ints) = 2, 4 ∈ ints

Rule argument

spec: int-gcd inst: name: prime-not-odd seq: ⊦ ¬ odd(j) → (prime(j) ↔ j = 2) subst: [j] → [max(ints)] flags: rewrite

Additional information

Used simplifier rules: even-2: ⊦ even(2); from specification int-min Used terms: max(ints)