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Proof step 5 from proof mod-neq-02 (previous step)

m * n = m0 * n + n0, n0 < n ⊦ n0 = 0, m0 < m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
m * n = m0 * n + n0, n0 < n, m ≤ m0 ⊦ n0 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)