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Proof step 3 from proof le-zero (previous step)

⊦ ¬ mkDecimal(i, j) < mkDecimal(0, 0) ↔ 0 ≤ i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ dec_i < dec_j ↔ (dec_i - dec_j).int < 0
Proof step 5:
⊦ ¬ (mkDecimal(i, j) - mkDecimal(0, 0)).int < 0 ↔ 0 ≤ i

Rule argument

spec: inst: name: ls-def seq: ⊦ dec_i < dec_j ↔ (dec_i - dec_j).int < 0 subst: [dec_j, dec_i] → [mkDecimal(0, 0), mkDecimal(i, j)] flags: rewrite, current

Additional information

Used terms: mkDecimal(0, 0), mkDecimal(i, j)