ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Definition D191
Binary cartesian set product
Formulation 0
Let $X$ and $Y$ each be a D11: Set.
The binary cartesian product of $(X, Y)$ is the D11: Set \begin{equation} X \times Y : = \{ (x, y) : x \in X \text{ and } y \in Y \} \end{equation}
Children
D4: Binary relation
Results
R10: Binary cartesian product with empty set is empty