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Proof step 3 from proof dist-mult (previous step)

⊦ dist(m * n, m * n0) = m * dist(n, n0), n ≤ n0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
n0 < n ⊦ dist(m * n, m * n0) = m * dist(n, n0)

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)