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Proof step 38 from proof divi-same (previous step)

n = n3 + n0 ∧ n0 ≤ n, n0 < n, m * n2 + n = m * n1 + n0, n0 < n ⊦ n = 0, m | n3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
m * n2 + n3 = m * n1 ⊦ n3 + n0 = 0, n3 = 0, m | n3

Rule argument

Additional information

Used simplifier rules: l-01: ⊦ m < m + n ↔ n ≠ 0; from specification nat-basic2%lels-03: ⊦ m < n → m ≤ n; from specification nat%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%eq-01: ⊦ m + n = m + n0 ↔ n = n0; from specification nat-basic2