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Proof step 94 from proof ushort-band-shift (previous step)

255 + j0 = i * 256 + j1 ∧ 0 ≤ j1 ∧ j1 < 256 ∧ 0 ≤ i ∧ 0 < 256 ∧ 0 ≤ 255 + j0, ~65536 ≤ 256 * j0 + j, ~256 < j, j < 0, ~256 ≤ j, ~255 ≤ j0, j0 < 0, 256 * j0 + j < 0 ⊦ j = 0, 255 + j0 = j1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 95:
255 + j0 = i * 256 + j1, 0 ≤ i, 0 ≤ j1, 256 * j0 + j < 0, j0 < 0, ~255 ≤ j0, ~256 ≤ j, j < 0, ~256 < j, ~65536 ≤ 256 * j0 + j, j1 < 256 ⊦ 255 + j0 = j1, j = 0

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)% ⊦ i * j = j * i;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;