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Proof step 8 from proof maxScale-pot10 (previous step)

0 < i, 0 ≤ i, ∀ i0. i→n(i0) < i→n(i) → 0 ≤ i0 → maxScale(10 ^ i0) = i0 ⊦ maxScale(10 ^ i -1 * 10) = i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
0 ≤ i, 0 < i, ∀ i0. i→n(i0) < i→n(i) → 0 ≤ i0 → maxScale(10 ^ i0) = i0 ⊦ maxScale(10 ^ (i - 1) * 10) = i

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%sub-pred: ⊦ i -1 = i - 1; from specification int-abs