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Proof step 7 from proof mod-gcd (previous step)

gcd(i, j) * i0 = i ⊦ i % gcd(i, j) = 0, i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ j ≠ 0 → ((* i) * i0 = (* j) ↔ j % i = 0 ∧ i0 = j / i ∧ i ≠ 0)

Rule argument

spec: int-div inst: name: nummult-eq seq: ⊦ j ≠ 0 → ((* i) * i0 = (* j) ↔ j % i = 0 ∧ i0 = j / i ∧ i ≠ 0) subst: [j, i0, i] → [i, i0, gcd(i, j)] flags: rewrite

Additional information

Used terms: i, i0, gcd(i, j)