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Proof step 2 from proof gcd-zero-01-h (previous step)

gcd(m, n) = 0, m < n ⊦ n = 0

User applied rule induction

And obtained the following new goals

Proof step 3:
gcd(m, n) = 0 ∧ m < n, ∀ n0, m. n0 < n → gcd(m, n0) = 0 ∧ m < n0 → n0 = 0 ⊦ n = 0

Rule argument

indvar: n wfpred: <

Additional information

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