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Proof step 14 from proof add-a (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ mkDecimal(i, j) + mkDecimal(i0, j0) = mkDecimal(i * 10 ^ abs(j0) + i0 * 10 ^ abs(j), abs(j) + abs(j0))
Proof step 16:
⊦ mkDecimal(i * 10 ^ (abs(i2) + abs(i4)) + (i1 * 10 ^ abs(i4) + i3 * 10 ^ abs(i2)) * 10 ^ abs(i0), abs(i0) + abs(i2) + abs(i4)) = mkDecimal((i * 10 ^ abs(i2) + i1 * 10 ^ abs(i0)) * 10 ^ abs(i4) + i3 * 10 ^ abs(abs(i0) + abs(i2)), abs(abs(i0) + abs(i2)) + abs(i4))

Rule argument

spec: inst: name: add-def-any seq: ⊦ mkDecimal(i, j) + mkDecimal(i0, j0) = mkDecimal (i * 10 ^ abs(j0) + i0 * 10 ^ abs(j), abs(j) + abs(j0)) subst: [j0, i0, j, i] → [i4, i3, abs(i0) + abs(i2), i * 10 ^ abs(i2) + i1 * 10 ^ abs(i0)] flags: rewrite, current

Additional information

Used terms: i4, i3, abs(i0) + abs(i2), i * 10 ^ abs(i2) + i1 * 10 ^ abs(i0)