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Proof step 13 from proof mkDecimal-maxScale-le-int (previous step)

i % 10 = 0 ∧ i ≠ 0, i % 10 = 0, maxScale(i / 10) + 1 ≤ abs(j), abs(abs(j) - 1) < maxScale(i / 10), ∀ i0, j. i→n(i0) < i→n(i) → maxScale(i0) ≤ abs(j) → mkDecimal(i0, j).int = i0 / 10 ^ maxScale(i0) ⊦ j = 0, i = 0, mkDecimal(i / 10, abs(j) - 1).int = i / 10 ^ (maxScale(i / 10) + 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%succ-01: ⊦ i + 1 ≤ j ↔ i < j; from specification int-abs