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Proof step 4 from proof divides-neg (previous step)

⊦ (∃ i0. i * i0 + j = 0) ↔ i | j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ i | j ↔ (∃ i0. i * i0 = j)
Proof step 6:
⊦ (∃ i0. i * i0 + j = 0) ↔ (∃ i0. i * i0 = j)

Rule argument

spec: int-gcd inst: name: divides seq: ⊦ i | j ↔ (∃ i0. i * i0 = j) subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used terms: j, i