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Proof step 33 from proof ushort-band-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
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

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ i < 0 ∧ 0 ≤ j → i ≤ j;% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ i < (* j) ∧ j < 0 → i < 0; (forward)% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);%i0 ≠ 0, i0 < i ⊦ (* i) ≤ j → (* i0) < j;% ⊦ ¬ i < j ↔ j ≤ i;