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Proof step 45 from proof divi-same (previous step)

m * n2 + n3 = m * n1 ⊦ m * (n1 - n2) = n3, n3 = 0, n2 ≤ n1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 46:
m * n2 + n3 = m * n1, n1 < n2 ⊦ m * (n1 - n2) = n3, n3 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)