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Proof step 40 from proof divi-same (previous step)

m * n2 + n = m * n1 + n0, n = n3 + n0, n0 < n, n0 ≤ n ⊦ m | n3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
m * n2 + n3 = m * n1 ⊦ n3 = 0, m | n3

Rule argument

Additional information

Used simplifier rules: ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ m < n → m ≤ n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n = m + n0 ↔ n = n0; (s)