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Proof step 6 from proof add-same (previous step)

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

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 7:
⊦ 0 ≤ j0 → mkDecimal(i, j) = mkDecimal(i * 10 ^ j0, abs(j) + j0)
Proof step 8:
0 ≤ abs(j) → mkDecimal(i + i0, abs(j)) = mkDecimal((i + i0) * 10 ^ abs(j), abs(abs(j)) + abs(j)) ⊦ mkDecimal((i + i0) * 10 ^ abs(j), 2 * abs(j)) = mkDecimal(i + i0, j)

Rule argument

spec: decimal inst: name: mkDecimal-enlarge seq: ⊦ 0 ≤ j0 → mkDecimal(i, j) = mkDecimal(i * 10 ^ j0, abs(j) + j0) subst: [j0, i, j] → [abs(j), i + i0, abs(j)] flags: []

Additional information

Used terms: abs(j), i + i0, abs(j)