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Proof step 9 from proof mkDecimal-maxScale-nle (previous step)

¬ maxScale(i) ≤ abs(j), abs(j) < maxScale(i) ⊦ i / 10 ^ abs(j) = mkDecimal(i / 10 ^ abs(j), 0).int ∧ 0 = mkDecimal(i / 10 ^ abs(j), 0).scale

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
abs(j) < maxScale(i) ⊦ i / 10 ^ abs(j) = mkDecimal(i / 10 ^ abs(j), 0).int ∧ 0 = mkDecimal(i / 10 ^ abs(j), 0).scale

Rule argument

Additional information

Used simplifier rules: lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs