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Proof step 1 from proof le-add-01 (conclusion)

⊦ mkDecimal(i, j) ≤ dec + mkDecimal(i0, j) ↔ mkDecimal(i - i0, j) ≤ dec

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:
⊦ ¬ dec + mkDecimal(i0, j) < mkDecimal(i, j) ↔ mkDecimal(i - i0, j) ≤ dec

Rule argument

spec: inst: name: le-def seq: ⊦ dec_i ≤ dec_j ↔ ¬ dec_j < dec_i subst: [dec_j, dec_i] → [dec + mkDecimal(i0, j), mkDecimal(i, j)] flags: rewrite, current

Additional information

Used terms: dec + mkDecimal(i0, j), mkDecimal(i, j)