b2i(by) = 127 - i, b2i(by) + i = 127, 126 < b2i(by), 0 < b2i(by), 0 < i ⊦
Used simplifier rules: ⊦ i - j = i0 ↔ i = i0 + j; Used formulas: b2i(by) = 127 - i