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Proof step 2 from proof le-succ (previous step)

⊦ n = 0, m / (n + 1) ≤ m / n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
m < m / (n + 1) * n ⊦ m / (n + 1) = 0, n = 0

Rule argument

Additional information

Used simplifier rules: le-div-to-mult: m0 ≠ 0 ⊦ n ≤ m / m0 ↔ n * m0 ≤ m;%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult% ⊦ m ≠ 0 → (m * n = 0 ↔ n = 0); (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)