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

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

User applied rule induction

And obtained the following new goals

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

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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