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Proof step 4 from proof band-max-04 (previous step)

i < 0, 256 ≤ (i + 1) % 256 + 255, 0 < (i + 1) % 256 + 255, 0 ≤ (i + 1) % 256 + 255 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
~255 ≤ (i + 1) % 256, i < 0, 0 < (i + 1) % 256 ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ 0 < i ∧ 0 < j → 0 < i + j;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ 1 ≤ i ↔ 0 < i;% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;