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Proof step 6 from proof modls (previous step)

n0 < m0, m < n ⊦ m0 * m + n0 < m0 * n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
n0 < m0, m < n, m0 * n ≤ m0 * m + n0 ⊦

Rule argument

Additional information

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