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Proof step 1 from proof getint-neg-02 (conclusion)

⊦ mkDecimal(i, j).int < 0 ↔ i < 0

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 < 0 ↔ i0 < 0) ⊦ mkDecimal(i, j).int < 0 ↔ i < 0

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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