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Proof step 49 from proof ushort-band-shift (previous step)

i = 0, s2i(sho) = 256 * (i * 256 + j0 - 1), i * 256 + j0 < 0, i ≤ 0, ~255 ≤ i * 256 + j0, j0 < 0, ~255 = j0 ∨ ~255 < j0 ⊦ 255 + j0 = (256 * (i + 1) + j0 - 1) % 256, i ≠ 0 ∧ ¬ j0 ≤ ~255

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 50:
s2i(sho) = 256 * (j0 - 1), j0 < 0, ~255 < j0 ⊦ 255 + j0 = (255 + j0) % 256, ~255 = j0

Rule argument

Additional information

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