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Proof step 14 from proof denom-not-zero (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ abs(i) < abs(j) ↔ i→n(i) < i→n(j)
Proof step 16:
i→n(i0) < i→n(gcd(i, i0)), gcd(i, i0) ≠ 0, abs(i0) ≠ 0, 0 ≤ gcd(i, i0), 0 = 0 ⊦ i = 0, i0 = 0

Rule argument

seq: ⊦ abs(i) < abs(j) ↔ i→n(i) < i→n(j) subst: [j, i] → [gcd(i, i0), i0] rotate: F spec: intnat inst: name: rlabs

Additional information

Used terms: gcd(i, i0), i0