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Proof step 16 from proof denom-not-zero (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ i ≠ j → (i ≤ j ↔ i < j);% ⊦ abs(gcd(i, j)) = gcd(i, j);% ⊦ i→n(i) < i→n(j) ↔ abs(i) < abs(j);% ⊦ abs(i) = 0 ↔ i = 0;