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Proof step 4 from proof test-divides-04 (previous step)

⊦ mkDecimal(45, 4) * mkDecimal(123123, 0) = mkDecimal(5540535, 4)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ dec_i * dec_j = mkDecimal(dec_i.int * dec_j.int, dec_i.scale + dec_j.scale)
Proof step 6:
⊦ mkDecimal(mkDecimal(45, 4).int * mkDecimal(123123, 0).int, mkDecimal(45, 4).scale + mkDecimal(123123, 0).scale) = mkDecimal(5540535, 4)

Rule argument

spec: decimal-simple-ops 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] → [mkDecimal(123123, 0), mkDecimal(45, 4)] flags: rewrite

Additional information

Used terms: mkDecimal(123123, 0), mkDecimal(45, 4)