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Proof step 3 from proof intvalue-mod-10 (previous step)

mkDecimal(i, i0).int % 10 = 0 ⊦ mkDecimal(i, i0).scale = 0

User applied rule induction

And obtained the following new goals

Proof step 4:
mkDecimal(i, i0).int % 10 = 0, ∀ i1, i0. i→n(i1) < i→n(i) → mkDecimal(i1, i0).int % 10 = 0 → mkDecimal(i1, i0).scale = 0 ⊦ mkDecimal(i, i0).scale = 0

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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