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Proof step 5 from proof ls-add-01 (previous step)

⊦ mkDecimal(i, j) < mkDecimal(i1 * 10 ^ abs(j) + i0 * 10 ^ abs(i2), abs(i2) + abs(j)) ↔ mkDecimal(i - i0, j) < mkDecimal(i1, i2)

User applied rule insert rewrite lemma

And obtained the following new goals

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

Rule argument

spec: decimal inst: name: mkDecimal-scale-not-neg seq: ⊦ mkDecimal(i, j) = mkDecimal(i, abs(j)) subst: [j, i] → [j, i] flags: rewrite

Additional information

Used terms: j, i