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Proof step 1 from proof mkDecimal-negated (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ dec_i = dec_j ↔ dec_i.int = dec_j.int ∧ dec_i.scale = dec_j.scale
Proof step 3:
⊦ 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

spec: inst: name: Equality seq: ⊦ dec_i = dec_j ↔ dec_i.int = dec_j.int ∧ dec_i.scale = dec_j.scale subst: [dec_j, dec_i] → [mkDecimal(~ i, j), mkDecimal(mkDecimal(~ i, j).int, mkDecimal(i, j).scale)] flags: rewrite, current

Additional information

Used terms: mkDecimal(~ i, j), mkDecimal(mkDecimal(~ i, j).int, mkDecimal(i, j).scale)