0. Set of symbols
1. Alphabet
2. Deduction system
3. Theory
4. Zermelo-Fraenkel set theory
5. Set
Binary cartesian set product
Formulation 0
Let $X$ and $Y$ each be a D11: Set.
The binary cartesian product of $X$ with $Y$ is the D11: Set \begin{equation} X \times Y : = \{ (x, y) : x \in X \text{ and } y \in Y \} \end{equation}
Child definitions
» D4: Binary relation
» R10: Binary cartesian product with empty set is empty