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Proof step 1 from proof denom-neg (conclusion)

⊦ j < 0 → rational(i, j) = rational(~ i, abs(j))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j < 0 ⊦ rational(i, j) = rational(~ i, ~ j)

Rule argument

Additional information

Used simplifier rules: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < 0 → abs(i) = ~ i;