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Proof step 38 from proof make (previous step)

¬(~(i / gcd(i, i0)) < 0 ∧ ~(i0 / gcd(i, i0)) < 0), 0 < i, i0 < 0 ⊦ i0 = 0, i = 0, rational(~(i / gcd(i, i0)), ~(i0 / gcd(i, i0))).num + i / gcd(i, i0) = 0 ∧ i0 / gcd(i, i0) + rational(~(i / gcd(i, i0)), ~(i0 / gcd(i, i0))).denom = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i0 < 0 → i0 / gcd(i, i0) ≤ 0;% ⊦ 0 < i → ¬ i / gcd(i, i0) ≤ 0;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ ~ i < 0 ↔ 0 < i;