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Proof step 1 from proof mkDecimal-reduce-scale (conclusion)

⊦ mkDecimal(i, j).scale = max(0, abs(j) - maxScale(i))

User applied rule induction

And obtained the following new goals

Proof step 2:
true, ∀ i0, j. i→n(i0) < i→n(i) → true → mkDecimal(i0, j).scale = max(0, abs(j) - maxScale(i0)) ⊦ mkDecimal(i, j).scale = max(0, abs(j) - maxScale(i))

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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