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Proof step 6 from proof test-divides-03 (previous step)

⊦ mkDecimal(mkDecimal(1000, 0).int * mkDecimal(1, 3).int, mkDecimal(1000, 0).scale + mkDecimal(1, 3).scale) = mkDecimal(1, 0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i
Proof step 8:
¬(1000 % 10 = 0 ∧ 0 ≠ 0 ∧ 1000 ≠ 0) ⊦ mkDecimal(1000 * mkDecimal(1, 3).int, mkDecimal(1000, 0).scale + mkDecimal(1, 3).scale) = 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, 1000] flags: rewrite

Additional information

Used terms: 0, 1000