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Proof step 1 from proof le-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_j < dec_i
Proof step 3:
⊦ ¬ mkDecimal(i, j) < mkDecimal(0, 0) ↔ 0 ≤ i

Rule argument

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

Additional information

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