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Proof step 91 from proof ushort-band-shift (previous step)

abs(j0) < 256, ~65536 ≤ (i0 * 256 + j0) * 256 + j, ~256 < j, j < 0, ~256 ≤ j, ~255 ≤ i0 * 256 + j0, j0 ≤ 0, i0 ≤ 0, i0 * 256 + j0 < 0, (i0 * 256 + j0) * 256 + j < 0 ⊦ j = 0, 255 + j0 = (256 * (i0 + 1) + j0 - 1) % 256, i0 ≠ 0 ∧ ¬ 256 ≤ abs(j0 - 1)

User applied rule cut formula

And obtained the following new goals

Proof step 92:
i0 = 0, abs(j0) < 256, ~65536 ≤ (i0 * 256 + j0) * 256 + j, ~256 < j, j < 0, ~256 ≤ j, ~255 ≤ i0 * 256 + j0, j0 ≤ 0, i0 ≤ 0, i0 * 256 + j0 < 0, (i0 * 256 + j0) * 256 + j < 0 ⊦ j = 0, 255 + j0 = (256 * (i0 + 1) + j0 - 1) % 256, i0 ≠ 0 ∧ ¬ 256 ≤ abs(j0 - 1)
Proof step 99:
abs(j0) < 256, ~65536 ≤ (i0 * 256 + j0) * 256 + j, ~256 < j, j < 0, ~256 ≤ j, ~255 ≤ i0 * 256 + j0, j0 ≤ 0, i0 ≤ 0, i0 * 256 + j0 < 0, (i0 * 256 + j0) * 256 + j < 0 ⊦ i0 = 0, j = 0, 255 + j0 = (256 * (i0 + 1) + j0 - 1) % 256, i0 ≠ 0 ∧ ¬ 256 ≤ abs(j0 - 1)

Rule argument

fma: i0 = 0

Additional information

Used formulas: i0 = 0