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Proof step 2 from proof mod-neq-02 (previous step)

m * n = m0 * n + n0, n0 < n ⊦ n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
m * n = m0 * n + n0, n0 < n ⊦ n0 = 0

Rule argument

Additional information

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