ThmDex – An index of mathematical definitions, results, and conjectures.
Result R2081 on D76: Set intersection
Binary set intersection with empty set is empty
Formulation 0
Let $X$ be a D11: Set.
Let $\emptyset$ be the D13: Empty set.
Then \begin{equation} X \cap \emptyset = \emptyset \cap X = \emptyset \end{equation}