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Proof step 13 from proof test-div-01 (previous step)

⊦ mkDecimal(10000 / 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 14:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i
Proof step 15:
¬(3 % 10 = 0 ∧ 0 ≠ 0 ∧ 3 ≠ 0) ⊦ mkDecimal(10000 / 3 / 10 ^ maxScale(3), mkDecimal(1, 0).scale + 4 + maxScale(3)) = 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, 3] flags: rewrite

Additional information

Used terms: 0, 3