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Proof step 1 from proof twodiv-02 (conclusion)

⊦ prime(m) → (2 | m + 1 ↔ m ≠ 2)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
prime(m) ⊦ 2 | m + 1 ↔ m ≠ 2

Rule argument

Additional information