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Proof step 1 from proof Sep-weak-conjunction (conclusion)

((nP ⊗_(n, m) * P))(H) ⊦ ∀ n0. n0 < m → ((nP(n + n0) * P * true))(H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
((nP ⊗_(n, m) * P))(H), n0 < m ⊦ ((nP(n + n0) * P * true))(H)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic