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Proof step 5 from proof intvalue-mod-10 (previous step)

mkDecimal(i, i0).int % 10 = 0, ∀ i1, i0. i→n(i1) < i→n(i) → mkDecimal(i1, i0).int % 10 = 0 → mkDecimal(i1, i0).scale = 0 ⊦ mkDecimal(i, i0).scale = 0

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:
¬ ¬(i % 10 = 0 ∧ i0 ≠ 0 ∧ i ≠ 0), mkDecimal(i, i0).int % 10 = 0, ∀ i1, i0. i→n(i1) < i→n(i) → mkDecimal(i1, i0).int % 10 = 0 → mkDecimal(i1, i0).scale = 0 ⊦ mkDecimal(i, i0).scale = 0
Proof step 14:
¬(i % 10 = 0 ∧ i0 ≠ 0 ∧ i ≠ 0), i % 10 = 0, ∀ i1, i0. i→n(i1) < i→n(i) → mkDecimal(i1, i0).int % 10 = 0 → mkDecimal(i1, i0).scale = 0 ⊦ mkDecimal(i, i0).scale = 0

Rule argument

spec: inst: name: intvalue-base seq: ⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i subst: [j, i] → [i0, i] flags: rewrite, current

Additional information

Used terms: i0, i