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Proof step 1 from proof l (conclusion)

⊦ m + n < m + n0 ↔ n < n0

User applied rule induction

And obtained the following new goals

Proof step 2:
true, ∀ m1, n, n0. m1 < m → true → (m1 + n < m1 + n0 ↔ n < n0) ⊦ m + n < m + n0 ↔ n < n0

Rule argument

indvar: m wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: m