| ¬ i2b(b2i(by)) ≠ i2b(0), b2i(by) = 0, b2i(int2bytes(bytes2int(by ' + by0 ' + bytes1)).first) < 0, 0 ≤ b2i(by0), ∀ by, bytes0. # bytes0 < #(by0 + bytes1) → true → (b2i(int2bytes(bytes2int(by ' + bytes0)).first) < 0 ↔ ¬ 0 ≤ b2i(by)) ⊦ |
b2i(int2bytes(bytes2int(i2b(0) ' + by0 ' + bytes1)).first) < 0, 0 ≤ b2i(by0), ∀ by, bytes0. # bytes0 < #(by0 + bytes1) → true → (b2i(int2bytes(bytes2int(by ' + bytes0)).first) < 0 ↔ ¬ 0 ≤ b2i(by)) ⊦
Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ b2i(i2b(0)) = 0;% ⊦ i2b(b2i(by)) = by;