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Proof step 1 from proof dist-sub-03 (conclusion)

⊦ n0 < n → n * m - n0 * m = (n - n0) * m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
n0 < n ⊦ n * m - n0 * m = (n - n0) * m, n = 0

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1