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Proof step 53 from proof bib-neg-low (previous step)

0 ≤ 7 ∧ ~(2 ^ (7 + 1)) ≤ j ∧ j < ~(2 ^ 7), j < ~1, 8 = # fillsgn(8, int2bits(j).rest), i0 < 0, 256 * i0 + j < 0, j < 0, ~256 < j, 256 * i0 + j < ~128, j < ~128 ⊦ int2bits(j).rest = [], b2i(i2b(j + 2 ^ (n→i(i→n(7 + 2)) - 1))) = 256 + j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 54:
8 = # fillsgn(8, int2bits(j).rest), j < ~1, i0 < 0, 256 * i0 + j < 0, j < 0, ~256 < j, 256 * i0 + j < ~128, ~256 ≤ j, j < ~128 ⊦ int2bits(j).rest = [], b2i(i2b(256 + j)) = 256 + j

Rule argument

Additional information

Used simplifier rules: ⊦ j ≤ i ∧ i < 0 → j < 0; (forward)%j0 ≠ 0, j ≤ j0 ⊦ i < (* j) → i < (* j0);% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i * j = j * i;