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Proof step 11 from proof int2bits-rec-neg (previous step)

(j - 1) / 2 < 0, j ≤ 0, j < 0 ⊦ sgn((bitsinvert(uint2bits(~(j / 2))) + (~1 ≠ j % 2)')+1) = sgn(bitsinvert(uint2bits((1 - j) / 2)) +1) + (~1 = j % 2)', ~1 = j

User applied rule cut formula

And obtained the following new goals

Proof step 12:
0 = j % 2, (j - 1) / 2 < 0, j ≤ 0, j < 0 ⊦ sgn((bitsinvert(uint2bits(~(j / 2))) + (~1 ≠ j % 2)')+1) = sgn(bitsinvert(uint2bits((1 - j) / 2)) +1) + (~1 = j % 2)', ~1 = j
Proof step 17:
(j - 1) / 2 < 0, j ≤ 0, j < 0 ⊦ 0 = j % 2, sgn((bitsinvert(uint2bits(~(j / 2))) + (~1 ≠ j % 2)')+1) = sgn(bitsinvert(uint2bits((1 - j) / 2)) +1) + (~1 = j % 2)', ~1 = j

Rule argument

fma: 0 = j % 2

Additional information

Used formulas: 0 = j % 2