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Proof step 1 from proof mkDecimal-maxScale-le-scale (conclusion)

⊦ maxScale(i) ≤ abs(j) → mkDecimal(i, j).scale = abs(j) - maxScale(i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
maxScale(i) ≤ abs(j) ⊦ abs(j) = mkDecimal(i, j).scale + maxScale(i)

Rule argument

Additional information

Used simplifier rules: sub-eq: ⊦ i - j = i0 ↔ i = i0 + j; from specification int-abs