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Proof step 1 from proof twodiv-01 (conclusion)

⊦ prime(m + 1) → (2 | m ↔ m ≠ 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
prime(m + 1) ⊦ m = 1, 2 | m

Rule argument

Additional information

Used simplifier rules: divi-two: ⊦ ¬ 2 | 1;