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Proof step 6 from proof test-divides-02 (previous step)

⊦ mkDecimal(mkDecimal(2, 0).int * mkDecimal(25, 1).int, mkDecimal(2, 0).scale + mkDecimal(25, 1).scale) = mkDecimal(5, 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:
¬(2 % 10 = 0 ∧ 0 ≠ 0 ∧ 2 ≠ 0) ⊦ mkDecimal(2 * mkDecimal(25, 1).int, mkDecimal(2, 0).scale + mkDecimal(25, 1).scale) = mkDecimal(5, 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, 2] flags: rewrite

Additional information

Used terms: 0, 2