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Proof step 1 from proof mult-c (conclusion)

⊦ dec_i * dec_j = dec_j * dec_i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ dec_i * dec_j = mkDecimal(dec_i.int * dec_j.int, dec_i.scale + dec_j.scale)
Proof step 3:
⊦ mkDecimal(dec_i.int * dec_j.int, dec_i.scale + dec_j.scale) = dec_j * dec_i

Rule argument

spec: inst: name: mult-def seq: ⊦ dec_i * dec_j = mkDecimal(dec_i.int * dec_j.int, dec_i.scale + dec_j.scale) subst: [dec_j, dec_i] → [dec_j, dec_i] flags: rewrite, current

Additional information

Used terms: dec_j, dec_i