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Proof step 8 from proof mod-succ-04 (previous step)

(m0 * n + n0) + 1 = m1 * n + n1, n0 < n, n1 < n ⊦ n1 < n0 ↔ n1 = 0 ∧ n ≠ 1, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
(m0 * n + n0) + 1 = m1 * n + n1, n1 < n, n0 < n ⊦ n1 < n0 ↔ n1 = 0 ∧ n ≠ 1

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)