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Proof step 2 from proof getint-zero (previous step)

mkDecimal(i, j).int = 0 ⊦ i = 0

User applied rule induction

And obtained the following new goals

Proof step 3:
mkDecimal(i, j).int = 0, ∀ i0, j. i→n(i0) < i→n(i) → mkDecimal(i0, j).int = 0 → i0 = 0 ⊦ i = 0

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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