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Proof step 1 from proof bint-band-011x-neg (conclusion)

⊦ i ∈bint ∧ i < 0 → band(4294967295, i) = i + 4294967296

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
~2147483648 ≤ i, i < 0 ⊦ band(4294967295, i) = i + 4294967296

Rule argument

Additional information

Used simplifier rules: inbint: ⊦ i ∈bint ↔ ~2147483648 ≤ i ∧ i ≤ 2147483647;% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i ≤ j ∧ j < j0 → i < j0; (forward)% ⊦ i < 0 ∧ 0 ≤ j → i ≤ j;