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Proof step 3 from proof mkDecimal-negated (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ mkDecimal(mkDecimal(~ i, j).int, mkDecimal(i, j).scale).int = mkDecimal(~ i, j).int ∧ mkDecimal(mkDecimal(~ i, j).int, mkDecimal(i, j).scale).scale = mkDecimal(i, j).scale

Rule argument

Additional information

Used simplifier rules: scale-negate: ⊦ mkDecimal(~ i, j).scale = mkDecimal(i, j).scale;