▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Binary endorelation
▾ Preordering relation
▾ Partial ordering relation
▾ Ordering relation
Ordered set
Formulation 0
An D548: Ordered pair $P = (X, {\preceq})$ is an ordered set if and only if
(1) $X$ is a D11: Set
(2) ${\preceq}$ is an D378: Ordering relation on $X$
Also known as
Totally ordered set, Toset, Linearly ordered set
Child definitions
» D714: Dedekind cut