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Proof step 35 from proof ushort-band-01 (previous step)

(i0 + 255) * 256 + j0 + 255 < 0, 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

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 2 flags: rotate, discard

Additional information

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