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Proof step 2 from proof coprime-pot (previous step)

i * i0 = j ^ j0, gcd(i, j) = 1, 0 < i, 1 < i, 0 < j0 ⊦ j = 0

User applied rule induction

And obtained the following new goals

Proof step 3:
i * i0 = j ^ j0 ∧ gcd(i, j) = 1 ∧ 0 < i ∧ 1 < i ∧ 0 < j0, ∀ j1, i, i0, j. i→n(j1) < i→n(j0) → i * i0 = j ^ j1 ∧ gcd(i, j) = 1 ∧ 0 < i ∧ 1 < i ∧ 0 < j1 → j = 0 ⊦ j = 0

Rule argument

indvar: i→n(j0) wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: i→n(j0)