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Proof step 5 from proof sub-add (previous step)

⊦ mkDecimal(i, i0) + mkDecimal(i1, i2) - mkDecimal(i1, i2) = mkDecimal(i, i0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ mkDecimal(i, j) + mkDecimal(i0, j0) = mkDecimal(i * 10 ^ abs(j0) + i0 * 10 ^ abs(j), abs(j) + abs(j0))
Proof step 7:
⊦ mkDecimal(i * 10 ^ abs(i2) + i1 * 10 ^ abs(i0), abs(i0) + abs(i2)) - mkDecimal(i1, i2) = mkDecimal(i, i0)

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] → [i2, i1, i0, i] flags: rewrite, current

Additional information

Used terms: i2, i1, i0, i