ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Set difference
Definition D79
Set complement
Formulation 0
Let $X$ be a D11: Set.
The complement of $E \subseteq X$ within $X$ is the D11: Set \begin{equation} X \setminus E := \{ x \in X : x \not\in E \} \end{equation}