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Proof step 3 from proof add-zero (previous step)

⊦ dec_i + mkDecimal(0, 0) = dec_i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ dec_i + dec_j = mkDecimal(dec_i.int * 10 ^ dec_j.scale + dec_j.int * 10 ^ dec_i.scale, dec_i.scale + dec_j.scale)
Proof step 5:
⊦ mkDecimal(dec_i.int * 10 ^ mkDecimal(0, 0).scale + mkDecimal(0, 0).int * 10 ^ dec_i.scale, dec_i.scale + mkDecimal(0, 0).scale) = dec_i

Rule argument

spec: inst: name: add-def seq: ⊦ dec_i + dec_j = mkDecimal (dec_i.int * 10 ^ dec_j.scale + dec_j.int * 10 ^ dec_i.scale, dec_i.scale + dec_j.scale) subst: [dec_j, dec_i] → [mkDecimal(0, 0), dec_i] flags: rewrite, current

Additional information

Used terms: mkDecimal(0, 0), dec_i