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Proof step 4 from proof mkDecimal-rec (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0 → mkDecimal(i, j).int = mkDecimal(i / 10, abs(j) - 1).int
Proof step 6:
i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0, i % 10 = 0 ⊦ j = 0, mkDecimal(i / 10, abs(j) - 1).int = mkDecimal(i / 10, abs(j) - 1).int ∧ mkDecimal(i, j).scale = mkDecimal(i / 10, abs(j) - 1).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] → [j, i] flags: rewrite, current

Additional information

Used simplifier rules: intvalue-zero: ⊦ mkDecimal(0, j).int = 0;%scale-zero: ⊦ mkDecimal(0, j).scale = 0; Used terms: j, i