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Proof step 1 from proof test-divides-03 (conclusion)

⊦ mkDecimal(1000, 0) | mkDecimal(1, 0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ dec_j | dec_i ↔ (∃ dec_j0. dec_j * dec_j0 = dec_i)
Proof step 3:
⊦ ∃ dec_j0. mkDecimal(1000, 0) * dec_j0 = mkDecimal(1, 0)

Rule argument

spec: inst: name: divides-def seq: ⊦ dec_j | dec_i ↔ (∃ dec_j0. dec_j * dec_j0 = dec_i) subst: [dec_i, dec_j] → [mkDecimal(1, 0), mkDecimal(1000, 0)] flags: rewrite, current

Additional information

Used terms: mkDecimal(1, 0), mkDecimal(1000, 0)