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Proof step 11 from proof max-bigger (previous step)

n = n1 + m, maxenc(m + 1, n) < m, ((m + 2) * m + m) / 2 < n, m ≤ n, ∀ n0, m1. n0 - m1 < n1 → maxenc(m1, n0) < m1 → false ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
maxenc(m + 1, n1 + m) < m, ((m + 2) * m + m) / 2 < n1 + m, ∀ n0, m1. n0 - m1 < n1 → maxenc(m1, n0) < m1 → false ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)