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Proof step 6 from proof maxScale-pot10-01 (previous step)

¬ 0 < j, 0 ≤ j, ∀ j0, i. i→n(j0) < i→n(j) → 0 ≤ j0 → maxScale(i * 10 ^ j0) = j0 ∨ i % 10 = 0 ⊦ i % 10 = 0, maxScale(i * 10 ^ j) = j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
∀ j0, i. i→n(j0) < i→n(0) → 0 ≤ j0 → maxScale(i * 10 ^ j0) = j0 ∨ i % 10 = 0 ⊦ i % 10 = 0, maxScale(i) = 0

Rule argument

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%one: ⊦ 1 * i = i; from specification int-mult%anti: ⊦ i ≤ j → (j ≤ i ↔ i = j); from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs