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

0 < j, 0 ≤ j, maxScale(i * 10 ^ j -1 * 10) < j, ∀ j0, i. i→n(j0) < i→n(j) → maxScale(i * 10 ^ j0) < j0 ∧ 0 ≤ j0 → i = 0 ⊦ i = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
0 ≤ j, maxScale(i * 10 ^ (j - 1) * 10) < j, 0 < j, ∀ j0, i. i→n(j0) < i→n(j) → maxScale(i * 10 ^ j0) < j0 ∧ 0 ≤ j0 → i = 0 ⊦ i = 0

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%sub-pred: ⊦ i -1 = i - 1; from specification int-abs