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Proof step 6 from proof neg-any-def (previous step)

∀ i0, j. i→n(i0) < i→n(i) → true → mkDecimal(~ i0, j) = ~ mkDecimal(i0, j) ⊦ mkDecimal(~ i, j) = ~ mkDecimal(i, j), i % 10 = 0 ∧ j ≠ 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ ~ dec_i = mkDecimal(~ dec_i.int, dec_i.scale)
Proof step 8:
∀ i0, j. i→n(i0) < i→n(i) → true → mkDecimal(~ i0, j) = ~ mkDecimal(i0, j) ⊦ mkDecimal(~ i, j) = mkDecimal(~ mkDecimal(i, j).int, mkDecimal(i, j).scale), i % 10 = 0 ∧ j ≠ 0

Rule argument

spec: inst: name: neg-def seq: ⊦ ~ dec_i = mkDecimal(~ dec_i.int, dec_i.scale) subst: [dec_i] → [mkDecimal(i, j)] flags: rewrite, current

Additional information

Used terms: mkDecimal(i, j)