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

0 ≤ j0 ⊦ mkDecimal(i, j) = mkDecimal(i * 10 ^ j0, abs(j) + j0)

User applied rule induction

And obtained the following new goals

Proof step 3:
0 ≤ j0, ∀ j1, i, j. i→n(j1) < i→n(j0) → 0 ≤ j1 → mkDecimal(i, j) = mkDecimal(i * 10 ^ j1, abs(j) + j1) ⊦ mkDecimal(i, j) = mkDecimal(i * 10 ^ j0, abs(j) + j0)

Rule argument

indvar: i→n(j0) wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: i→n(j0)