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Proof step 2 from proof leone (previous step)

⊦ m * n ≤ n ↔ m ≤ 1, n = 0

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ m. (m * n0 ≤ n0 ↔ m ≤ 1) ∨ n0 = 0 ⊦ m * n0 +1 ≤ n0 +1 ↔ m ≤ 1, n0 +1 = 0

Rule argument

term: n

Additional information

Used simplifier rules: nat freely generated by 0, +1;;