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Proof step 34 from proof ushort-band-01 (previous step)

j + i * 256 = (i0 + 255) * 256 + j0 + 255, j0 < 0, j + i * 256 < 65535, j < 256, 0 ≤ i, 0 ≤ j, ~255 ≤ j0, i0 < ~255, i0 < j0, i0 < 0 ⊦ 255 + j0 = j

User applied rule cut formula

And obtained the following new goals

Proof step 35:
(i0 + 255) * 256 + j0 + 255 < 0, j + i * 256 = (i0 + 255) * 256 + j0 + 255, j0 < 0, j + i * 256 < 65535, j < 256, 0 ≤ i, 0 ≤ j, ~255 ≤ j0, i0 < ~255, i0 < j0, i0 < 0 ⊦ 255 + j0 = j
Proof step 36:
j + i * 256 = (i0 + 255) * 256 + j0 + 255, j0 < 0, j + i * 256 < 65535, j < 256, 0 ≤ i, 0 ≤ j, ~255 ≤ j0, i0 < ~255, i0 < j0, i0 < 0 ⊦ (i0 + 255) * 256 + j0 + 255 < 0, 255 + j0 = j

Rule argument

fma: (i0 + 255) * 256 + j0 + 255 < 0

Additional information

Used formulas: (i0 + 255) * 256 + j0 + 255 < 0