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Proof step 6 from proof test-divides-04 (previous step)

⊦ mkDecimal(mkDecimal(45, 4).int * mkDecimal(123123, 0).int, mkDecimal(45, 4).scale + mkDecimal(123123, 0).scale) = mkDecimal(5540535, 4)

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:
¬(45 % 10 = 0 ∧ 4 ≠ 0 ∧ 45 ≠ 0) ⊦ mkDecimal(45 * mkDecimal(123123, 0).int, mkDecimal(45, 4).scale + mkDecimal(123123, 0).scale) = mkDecimal(5540535, 4)

Rule argument

spec: decimal inst: name: intvalue-base seq: ⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i subst: [j, i] → [4, 45] flags: rewrite

Additional information

Used terms: 4, 45