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Proof step 16 from proof test-div-01 (previous step)

⊦ mkDecimal(10000 / 3 / 10 ^ maxScale(3), mkDecimal(1, 0).scale + 4 + maxScale(3)) = mkDecimal(3333, 4), mkDecimal(3, 0) | mkDecimal(1, 0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j)
Proof step 18:
¬(1 % 10 = 0 ∧ 0 ≠ 0 ∧ 1 ≠ 0) ⊦ mkDecimal(10000 / 3 / 10 ^ maxScale(3), abs(0) + 4 + maxScale(3)) = mkDecimal(3333, 4), mkDecimal(3, 0) | mkDecimal(1, 0)

Rule argument

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

Additional information

Used terms: 0, 1