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Proof step 2 from proof mkDecimal-maxScale-le (previous step)

maxScale(i) ≤ abs(j) ⊦ mkDecimal(i, j) = mkDecimal(i / 10 ^ maxScale(i), abs(j) - maxScale(i))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ dec_i = dec_j ↔ dec_i.int = dec_j.int ∧ dec_i.scale = dec_j.scale
Proof step 4:
maxScale(i) ≤ abs(j) ⊦ mkDecimal(i, j).int = mkDecimal(i / 10 ^ maxScale(i), abs(j) - maxScale(i)).int ∧ mkDecimal(i, j).scale = mkDecimal(i / 10 ^ maxScale(i), abs(j) - maxScale(i)).scale

Rule argument

spec: inst: name: Equality seq: ⊦ dec_i = dec_j ↔ dec_i.int = dec_j.int ∧ dec_i.scale = dec_j.scale subst: [dec_j, dec_i] → [mkDecimal(i / 10 ^ maxScale(i), abs(j) - maxScale(i)), mkDecimal(i, j)] flags: rewrite, current

Additional information

Used terms: mkDecimal(i / 10 ^ maxScale(i), abs(j) - maxScale(i)), mkDecimal(i, j)