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Proof step 1 from proof ls-zero (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ dec_i < dec_j ↔ (dec_i - dec_j).int < 0
Proof step 3:
⊦ (mkDecimal(0, 0) - mkDecimal(i, j)).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(i, j), mkDecimal(0, 0)] flags: rewrite, current

Additional information

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