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Proof step 67 from proof ushort-band-shift (previous step)

s2i(sho) < 0 ∧ s2i(sho) % 2 ^ 8 ≠ 0 ∧ 0 < 8 ∧ 8 < 32, 0 ≤ (65536 + s2i(sho)) / 256, s2i(sho) < 0, ~65536 ≤ s2i(sho) ⊦ band(s2i(sho) / 2 ^ 8 - 1, 255) = ((65536 + s2i(sho)) / 256) % 256

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 68:
0 ≤ (65536 + s2i(sho)) / 256, ~65536 ≤ s2i(sho), s2i(sho) < 0 ⊦ s2i(sho) % 256 = 0, band(255, s2i(sho) / 256 - 1) = ((65536 + s2i(sho)) / 256) % 256

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)