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Proof step 4 from proof maxScale-pot10-add (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ i % 10 ≠ 0 ∧ 0 ≤ j → maxScale(i * 10 ^ j) = j
Proof step 6:
¬((i * 10 ^ (j - min(j, j0)) + i0 * 10 ^ (j0 - min(j, j0))) % 10 ≠ 0 ∧ 0 ≤ min(j, j0)), 0 ≤ j, 0 ≤ j0 ⊦ maxScale((i * 10 ^ (j - min(j, j0)) + i0 * 10 ^ (j0 - min(j, j0))) * 10 ^ min(j, j0)) = min(j, j0), (i + i0) % 10 = 0, i0 % 10 = 0, i % 10 = 0

Rule argument

spec: inst: name: maxScale-pot10-01 seq: ⊦ i % 10 ≠ 0 ∧ 0 ≤ j → maxScale(i * 10 ^ j) = j subst: [j, i] → [min(j, j0), i * 10 ^ (j - min(j, j0)) + i0 * 10 ^ (j0 - min(j, j0))] flags: rewrite, current

Additional information

Used terms: min(j, j0), i * 10 ^ (j - min(j, j0)) + i0 * 10 ^ (j0 - min(j, j0))