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Proof step 1 from proof sub-id (conclusion)

⊦ dec - dec = mkDecimal(0, 0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 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 3:
⊦ mkDecimal(dec.int * 10 ^ dec.scale - dec.int * 10 ^ dec.scale, dec.scale + dec.scale) = mkDecimal(0, 0)

Rule argument

spec: inst: name: sub-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] → [dec, dec] flags: rewrite, current

Additional information

Used terms: dec, dec