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Proof step 14 from proof maxScale-pot10-add (previous step)

¬ j < j0, (i * 10 ^ (j - j0) + i0 * 10 ^ (j0 - j0)) % 10 = 0, 0 ≤ j0, 0 ≤ j, 0 ≤ j0 ⊦ i % 10 = 0, i0 % 10 = 0, (i + i0) % 10 = 0, maxScale((i * 10 ^ (j - j0) + i0 * 10 ^ (j0 - j0)) * 10 ^ j0) = j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
(i * 10 ^ (j - j0) + i0) % 10 = 0, 0 ≤ j, 0 ≤ j0, j0 ≤ j ⊦ i % 10 = 0, i0 % 10 = 0, (i + i0) % 10 = 0, maxScale((i * 10 ^ (j - j0) + i0) * 10 ^ j0) = j0

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%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%sub-sub-03: ⊦ i - i = 0; from specification int-abs