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Proof step 22 from proof bib-neg-high (previous step)

i0 * 256 + j0 < 0, j0 ≤ 0, ~128 ≤ j0, i0 * 256 + j0 ≤ ~256, abs(j0) < 256, i0 < 0 ⊦ b2i(i2b(bits2int(lastn(8, int2bits(i0 * 256 + j0))))) = j0, ~256 ≠ i0 * 256 + j0 ∧ lastn(8, int2bits(i0 * 256 + j0)).first, j0 < 0 ∧ ~128 ≠ j0

User applied rule cut formula

And obtained the following new goals

Proof step 23:
j0 < 0, i0 * 256 + j0 < 0, j0 ≤ 0, ~128 ≤ j0, i0 * 256 + j0 ≤ ~256, abs(j0) < 256, i0 < 0 ⊦ b2i(i2b(bits2int(lastn(8, int2bits(i0 * 256 + j0))))) = j0, ~256 ≠ i0 * 256 + j0 ∧ lastn(8, int2bits(i0 * 256 + j0)).first, j0 < 0 ∧ ~128 ≠ j0
Proof step 51:
i0 * 256 + j0 < 0, j0 ≤ 0, ~128 ≤ j0, i0 * 256 + j0 ≤ ~256, abs(j0) < 256, i0 < 0 ⊦ j0 < 0, b2i(i2b(bits2int(lastn(8, int2bits(i0 * 256 + j0))))) = j0, ~256 ≠ i0 * 256 + j0 ∧ lastn(8, int2bits(i0 * 256 + j0)).first, j0 < 0 ∧ ~128 ≠ j0

Rule argument

fma: j0 < 0

Additional information

Used formulas: j0 < 0