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Proof step 2 from proof mult-pos (previous step)

mkDecimal(0, 0) ≤ dec_j, mkDecimal(0, 0) ≤ dec_i ⊦ mkDecimal(0, 0) ≤ dec_i * dec_j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ dec_i ≤ dec_j ↔ ¬ dec_j < dec_i
Proof step 4:
mkDecimal(0, 0) ≤ dec_j, mkDecimal(0, 0) ≤ dec_i ⊦ ¬ dec_i * dec_j < mkDecimal(0, 0)

Rule argument

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

Additional information

Used terms: dec_i * dec_j, mkDecimal(0, 0)