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Proof step 1 from proof sep-forall-reduce (conclusion)

⊦ (∀ n0, P. n0 < m ∧ ((nP(n + n0) * P))(zh) → ((nP2(n + n0) * P))(zh)) ∧ ((nP ⊗_(n, m) * P0))(zh) → ((nP2 ⊗_(n, m) * P0))(zh)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information