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Proof step 12 from proof mkDecimal-scale-not-neg (previous step)

i % 10 = 0 ⊦ j = 0, i = 0, mkDecimal(i, j).scale = mkDecimal(i, abs(j)).scale

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0 → mkDecimal(i, j).scale = mkDecimal(i / 10, abs(j) - 1).scale
Proof step 14:
i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0, i % 10 = 0 ⊦ j = 0, i = 0, mkDecimal(i / 10, abs(j) - 1).scale = mkDecimal(i, abs(j)).scale

Rule argument

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

Additional information

Used terms: j, i