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Proof step 2 from proof mkDecimal-selectors (previous step)

⊦ mkDecimal(i, i0) = mkDecimal(mkDecimal(i, i0).int, mkDecimal(i, i0).scale)

User applied rule induction

And obtained the following new goals

Proof step 3:
true, ∀ i1, i0. i→n(i1) < i→n(i) → true → mkDecimal(i1, i0) = mkDecimal(mkDecimal(i1, i0).int, mkDecimal(i1, i0).scale) ⊦ mkDecimal(i, i0) = mkDecimal(mkDecimal(i, i0).int, mkDecimal(i, i0).scale)

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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