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Proof step 18 from proof mkDecimal-scale-not-neg (previous step)

⊦ i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0, i = 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 19:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i
Proof step 20:
¬(i % 10 = 0 ∧ abs(j) ≠ 0 ∧ i ≠ 0) ⊦ i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0, i = i ∧ mkDecimal(i, j).scale = mkDecimal(i, abs(j)).scale

Rule argument

spec: inst: name: intvalue-base seq: ⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i 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