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Proof step 24 from proof maxScale-pot10-add (previous step)

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

Rule argument

spec: int-pot inst: name: pot-dist-pos seq: ⊦ 0 ≤ j ∧ 0 ≤ j0 → i ^ (j + j0) = i ^ j * i ^ j0 subst: [j0, j, i] → [min(j, j0), j0 - min(j, j0), 10] flags: rewrite

Additional information

Used terms: min(j, j0), j0 - min(j, j0), 10