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Proof step 22 from proof neg-any-def (previous step)

∀ i0, j. i→n(i0) < i→n(0) → true → mkDecimal(~ i0, j) = ~ mkDecimal(i0, j) ⊦ j = 0, mkDecimal(0, abs(j) - 1) = ~ mkDecimal(0, abs(j) - 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ mkDecimal(0, j) = mkDecimal(0, 0)
Proof step 24:
∀ i0, j. i→n(i0) < i→n(0) → true → mkDecimal(~ i0, j) = ~ mkDecimal(i0, j) ⊦ j = 0, mkDecimal(0, 0) = ~ mkDecimal(0, 0)

Rule argument

spec: decimal inst: name: mkDecimal-zero seq: ⊦ mkDecimal(0, j) = mkDecimal(0, 0) subst: [j] → [abs(j) - 1] flags: rewrite

Additional information

Used terms: abs(j) - 1