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

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

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).int = i0 / 10 ^ min(maxScale(i0), abs(j)) ⊦ mkDecimal(i, j).int = i / 10 ^ min(maxScale(i), abs(j))

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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