ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
Definition D4
Binary relation
Formulation 0
An D548: Ordered pair $(X \times Y, R)$ is a binary relation if and only if
(1) $X \times Y$ is a D191: Binary cartesian set product
(2) $R \subseteq X \times Y$ (D78: Subset)
Children
▶ D4424: Binary endorelation
▶ D1104: Binary relation structure
▶ D857: Empty binary relation
▶ D362: Inverse binary relation
▶ D357: Left-unique binary relation
▶ D18: Map
▶ D4583: Maximal binary relation
▶ D4423: Relation class
▶ D358: Right-unique binary relation
▶ D5348: Set of binary relations
▶ D294: Symmetric binary relation