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Proof step 1 from proof mult-abs (conclusion)

⊦ abs(dec * dec0) = abs(dec) * abs(dec0)

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:
⊦ abs(mkDecimal(dec.int * dec0.int, dec.scale + dec0.scale)) = abs(dec) * abs(dec0)

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] → [dec0, dec] flags: rewrite, current

Additional information

Used terms: dec0, dec