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Proof step 9 from proof mkDecimal-scale-not-neg (previous step)

i % 10 = 0 ⊦ j = 0, i = 0, mkDecimal(i / 10, abs(j) - 1).int = mkDecimal(i, abs(j)).int ∧ mkDecimal(i, j).scale = mkDecimal(i, abs(j)).scale

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0 → mkDecimal(i, j).int = mkDecimal(i / 10, abs(j) - 1).int
Proof step 11:
i % 10 = 0 ∧ abs(j) ≠ 0 ∧ i ≠ 0, i % 10 = 0 ⊦ j = 0, i = 0, mkDecimal(i / 10, abs(j) - 1).int = mkDecimal(i / 10, abs(abs(j)) - 1).int ∧ mkDecimal(i, j).scale = mkDecimal(i, abs(j)).scale

Rule argument

spec: inst: name: intvalue-rec seq: ⊦ i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0 → mkDecimal(i, j).int = mkDecimal(i / 10, abs(j) - 1).int subst: [j, i] → [abs(j), i] flags: rewrite, current

Additional information

Used simplifier rules: abs-07: ⊦ abs(i) = 0 ↔ i = 0; from specification int-abs Used terms: abs(j), i