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Proof step 3 from proof mult-abs (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ dec_i * dec_j = mkDecimal(dec_i.int * dec_j.int, dec_i.scale + dec_j.scale)
Proof step 5:
⊦ abs(mkDecimal(dec.int * dec0.int, dec.scale + dec0.scale)) = mkDecimal(abs(dec).int * abs(dec0).int, abs(dec).scale + abs(dec0).scale)

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] → [abs(dec0), abs(dec)] flags: rewrite, current

Additional information

Used terms: abs(dec0), abs(dec)