ThmDex – An index of mathematical definitions, results, and conjectures.

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▼	Alphabet
▼	Deduction system
▼	Theory
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▼	Binary cartesian set product
▼	Binary relation
▼	Binary endorelation
▼	Preordering relation
▼	Partial ordering relation

Definition D1103

Partially ordered set

Formulation 0

An D548: Ordered pair $P = (X, {\preceq})$ is a partially ordered set if and only if

(1)	$X$ is a D11: Set
(2)	${\preceq}$ is a D286: Partial ordering relation on $X$

Also known as

Poset

Children