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Proof step 7 from proof scale-le (previous step)

abs(j) < mkDecimal(i, j).scale, ∀ i0, j. i→n(i0) < i→n(i) → abs(j) < mkDecimal(i0, j).scale → false ⊦ i = 0, j ≠ 0 ∧ i % 10 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j)

Rule argument

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

Additional information

Used simplifier rules: irref: ⊦ ¬ i < i; from specification int-basic1 Used terms: j, i