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Proof step 5 from proof mod-neq-03 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
m0 * n + n0 + 1 = m * n + n1, n1 < n, n1 < n0, n0 < n, n1 + 1 < n, n0 + 1 < n → m0 = m ∧ n0 + 1 = n1 ⊦ n1 = 0

Proof step 5 from proof mod-neq-03 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information