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Proof step 21 from proof mkDecimal-scale-not-neg (previous step)

⊦ mkDecimal(i, j).scale = mkDecimal(i, abs(j)).scale, i % 10 = 0, i = 0, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j)
Proof step 23:
¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) ⊦ abs(j) = mkDecimal(i, abs(j)).scale, i % 10 = 0, i = 0, j = 0

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 terms: j, i