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Proof step 22 from proof mult-dist (previous step)

⊦ (i * (i1 * 10 ^ abs(i4) + i3 * 10 ^ abs(i2))) * 10 ^ abs(i0) = i * i1 * 10 ^ (abs(i0) + abs(i4)) + i * i3 * 10 ^ (abs(i0) + abs(i2))

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] → [abs(i2), abs(i0), 10] flags: rewrite

Additional information

Used simplifier rules: abs-03: ⊦ 0 ≤ abs(i); from specification int-abs Used terms: abs(i2), abs(i0), 10