ThmDex – An index of mathematical definitions, results, and conjectures.
Set and set complement are disjoint
Formulation 0
Let $X$ be a D11: Set such that
(i) $E \subseteq X$ is a D78: Subset of $X$
(ii) $X \setminus E$ is the D79: Set complement of $E$ within $X$
Then \begin{equation} E \cap (X \setminus E) = \emptyset \end{equation}