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Proof step 6 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 7:
⊦ mkDecimal(i, j).int + mkDecimal(~ mkDecimal(i, j).int, mkDecimal(i, j).scale).int = 0 ∧ 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;%negeq: ⊦ ~ i = j ↔ i + j = 0; from specification int-abs