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Proof step 1 from proof Sep-forall-reduce-imp (conclusion)

∀ n0. n0 < m → nP0(n + n0) ⊆ nP1(n + n0), ((nP0 ⊗_(n, m) * P))(H) ⊦ ((nP1 ⊗_(n, m) * P))(H)

System applied rule normalize

And obtained the following new goals

Proof step 2:
((nP0 ⊗_(n, m) * P))(H), ∀ n0. n0 < m → nP0(n + n0) ⊆ nP1(n + n0) ⊦ ((nP1 ⊗_(n, m) * P))(H)

Rule argument

Additional information