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Proof step 43 from proof divi-same (previous step)

m * n2 + n3 = m * n1 ⊦ n2 ≤ n1, n3 + n0 = 0, n3 = 0, m * (n1 - n2) = n3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
m * n2 + n3 = m * n1, n1 < n2 ⊦ n3 + n0 = 0, n3 = 0, m * (n1 - n2) = n3, n2 = 0

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1%lels-01: ⊦ ¬ m ≤ n ↔ n < m; from specification nat