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Proof step 1 from proof primes-le-2 (conclusion)

⊦ primes(ints) ∧ ¬ dups(ints) ∧ ints ≠ [] → (max(ints) ≤ 2 ↔ ints = 2 ')

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
primes(ints), max(ints) ≤ 2 ⊦ ints = [], ints = 2 ', dups(ints)

Rule argument

Additional information

Used simplifier rules: max-one: ⊦ max(i ') = i;