Given a [set difference,](Set%20difference.md) $B \backslash A$ The _complement of a set_ or _complement of a subset,_ consists of all elements in $B$ that are not in $S.$ --- # Proofs and examples The odd [integers](Integers.md) are the [complement](Complement%20of%20a%20set.md) of the even integers in $\mathbb{Z}.$ #MathematicalFoundations/SetTheory