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Proof step 1 from proof getint-neg (conclusion)

⊦ ~ mkDecimal(i, j).int = mkDecimal(~ i, j).int

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 = mkDecimal(~ i0, j).int ⊦ ~ mkDecimal(i, j).int = mkDecimal(~ i, j).int

Rule argument

indvar: i→n(i) wfpred: <

Additional information

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