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

mkDecimal(0, 0) < dec ⊦ dec * dec_i ≤ dec * dec_j ↔ 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 ⊦ ¬ dec * dec_j < dec * dec_i ↔ dec_i ≤ dec_j

Rule argument

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

Additional information

Used terms: dec * dec_j, dec * dec_i