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Proof step 7 from proof test-div-01 (previous step)

⊦ mkDecimal ((mkDecimal(1, 0).int * 10 ^ (mkDecimal(3, 0).scale + 4)) / mkDecimal(3, 0).int / 10 ^ maxScale(mkDecimal(3, 0).int), mkDecimal(1, 0).scale + 4 + maxScale(mkDecimal(3, 0).int)) = mkDecimal(3333, 4), mkDecimal(3, 0) | mkDecimal(1, 0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i
Proof step 9:
¬(1 % 10 = 0 ∧ 0 ≠ 0 ∧ 1 ≠ 0) ⊦ mkDecimal ((1 * 10 ^ (mkDecimal(3, 0).scale + 4)) / mkDecimal(3, 0).int / 10 ^ maxScale(mkDecimal(3, 0).int), mkDecimal(1, 0).scale + 4 + maxScale(mkDecimal(3, 0).int)) = mkDecimal(3333, 4), mkDecimal(3, 0) | mkDecimal(1, 0)

Rule argument

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

Additional information

Used terms: 0, 1