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Proof step 32 from proof make (previous step)

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

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)% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < j → ¬ j < i;% ⊦ ~ i = j ↔ i + j = 0;