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Proof step 1 from proof sub-same (conclusion)

⊦ mkDecimal(i, j) - mkDecimal(i0, j) = mkDecimal(i - i0, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ mkDecimal(i, j) - mkDecimal(i0, j0) = mkDecimal(i * 10 ^ abs(j0) - i0 * 10 ^ abs(j), abs(j) + abs(j0))
Proof step 3:
⊦ mkDecimal(i * 10 ^ abs(j) - i0 * 10 ^ abs(j), abs(j) + abs(j)) = mkDecimal(i - i0, j)

Rule argument

spec: inst: name: sub-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] → [j, i0, j, i] flags: rewrite, current

Additional information

Used terms: j, i0, j, i