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Proof step 53 from proof ushort-band-shift (previous step)

s2i(sho) = 256 * (j0 - 1), 255 + j0 = i * 256 + j, 0 ≤ i, 0 ≤ j, ~255 < j0, j0 < 0, j < 256 ⊦ i = 0, ~255 = j0, 255 + j0 = j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 54:
s2i(sho) = 256 * (j0 - 1), 255 + j0 = i * 256 + j, 0 ≤ j, ~255 < j0, j0 < 0, j < 256, 0 < i ⊦ i = 0, ~255 = j0, 255 + j0 = j

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ i ≠ j → (i ≤ j ↔ i < j);