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Proof step 5 from proof primes-max-even (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
∀ i. i ∈ ints → prime(i) ⊦ ints = [], even(max(ints)) ↔ max(ints) = 2, 4 ∈ ints

Rule argument

Additional information

Used simplifier rules: prime-not-four: ⊦ ¬ prime(4); from specification int-gcd