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Proof step 2 from proof two-loup (previous step)

(m + n) / 2 < m, m < n ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
(m + n) / 2 < n, (m + n) / 2 < m, m < n, (m + n) / 2 + 1 < n ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m +1 = m + 1; (s)% ⊦ m < n → n ≠ 0; (s)%trans: ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward) from specification nat-basic%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic