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Proof step 4 from proof cast-law-neg (previous step)

0 < i, j < 0 ⊦ cast(i, ~ j) = cast(i, ~ cast(i, j))

User applied rule cut formula

And obtained the following new goals

Proof step 5:
j % 2 ^ i < 0, 0 < i, j < 0 ⊦ cast(i, ~ j) = cast(i, ~ cast(i, j))
Proof step 13:
0 < i, j < 0 ⊦ j % 2 ^ i < 0, cast(i, ~ j) = cast(i, ~ cast(i, j))

Rule argument

fma: j % 2 ^ i < 0

Additional information

Used formulas: j % 2 ^ i < 0