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Proof step 4 from proof add-same (previous step)

⊦ mkDecimal(i * 10 ^ abs(j) + i0 * 10 ^ abs(j), 2 * abs(j)) = mkDecimal(i + i0, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ (i + i0) * j = i * j + i0 * j
Proof step 6:
⊦ mkDecimal((i + i0) * 10 ^ abs(j), 2 * abs(j)) = mkDecimal(i + i0, j)

Rule argument

spec: int-mult inst: name: dist-lsplit seq: ⊦ (i + i0) * j = i * j + i0 * j subst: [i0, j, i] → [i0, 10 ^ abs(j), i] flags: rewrite

Additional information

Used terms: i0, 10 ^ abs(j), i