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Proof step 5 from proof mult-one (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i
Proof step 7:
¬(1 % 10 = 0 ∧ 0 ≠ 0 ∧ 1 ≠ 0) ⊦ mkDecimal(dec_i.int * 1, dec_i.scale + mkDecimal(1, 0).scale) = dec_i

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, 1] flags: rewrite

Additional information

Used terms: 0, 1