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Proof step 1 from proof le-add (conclusion)

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

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

Rule argument

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

Additional information

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