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Proof step 11 from proof le-same (previous step)

n = 0 ∧ n0 ≤ m ∨ m = 0 ∧ n0 = 0 ∨ n = 1 ∧ n0 = 0 ⊦ m * n + n0 ≤ m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
m < m * n + n0, n = 0 ∧ n0 ≤ m ∨ m = 0 ∧ n0 = 0 ∨ n = 1 ∧ n0 = 0 ⊦ m * n + n0 = 0

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1%lels-01: ⊦ ¬ m ≤ n ↔ n < m; from specification nat