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Proof step 2 from proof mkDecimal-maxScale-le-int (previous step)

maxScale(i) ≤ abs(j) ⊦ mkDecimal(i, j).int = i / 10 ^ maxScale(i)

User applied rule induction

And obtained the following new goals

Proof step 3:
maxScale(i) ≤ abs(j), ∀ i0, j. i→n(i0) < i→n(i) → maxScale(i0) ≤ abs(j) → mkDecimal(i0, j).int = i0 / 10 ^ maxScale(i0) ⊦ mkDecimal(i, j).int = i / 10 ^ maxScale(i)

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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