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Proof step 2 from proof mod-nls (previous step)

m * n0 + n2 < m0 * n + n1, m0 < m, n2 < n0, n1 < n, n ≤ n0 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
n1 < n0, m * n0 + n2 < m0 * n + n1, m0 < m, n2 < n0, n1 < n, n ≤ n0 ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic