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Proof step 13 from proof cast-law-neg (previous step)

0 < i, j < 0 ⊦ j % 2 ^ i < 0, cast(i, ~ j) = cast(i, ~ cast(i, j))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
j % 2 ^ i = 0, 0 < i, j < 0 ⊦ cast(i, ~ j) = cast(i, ~ cast(i, j))

Rule argument

Additional information

Used simplifier rules: ⊦ j < 0 ∧ 0 < i → (0 ≤ j % 2 ^ i ↔ j % 2 ^ i = 0);% ⊦ ¬ i < j ↔ j ≤ i;