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Proof step 17 from proof denom-not-zero (previous step)

abs(i0) < gcd(i, i0), 0 < gcd(i, i0) ⊦ i = 0, i0 = 0, gcd(i, i0) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ j ≠ 0 → (¬ abs(i) < gcd(i, j) ↔ i ≠ 0)

Rule argument

seq: ⊦ j ≠ 0 → (¬ abs(i) < gcd(i, j) ↔ i ≠ 0) subst: [j, i] → [i, i0] rotate: F spec: int-gcd inst: name: abs-gcd-not-less

Additional information

Used simplifier rules: ⊦ gcd(i, j) = gcd(j, i); Used terms: i, i0