Reflexive binary relation

▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Binary endorelation

Reflexive binary relation

Formulation 0

A D4424: Binary endorelation $B = (X \times X, R)$ is reflexive if and only if \begin{equation} \forall \, x \in X : (x, x) \in R \end{equation}

Formulation 1

A D4424: Binary endorelation $B = (X \times X, R)$ is reflexive if and only if \begin{equation} \{ (x, x) : x \in X \} \subseteq R \end{equation}

Also known as

Reflexive binary endorelation

Child definitions