▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Map
▾ Operation
▾ N-operation
▾ Binary operation
▾ Enclosed binary operation
Groupoid
Formulation 0
An D548: Ordered pair $G = (X, f)$ is a groupoid if and only if
(1) $X$ is a D11: Set
(2) $f : X \times X \to Y$ is an D20: Enclosed binary operation on $X$
Child definitions
» D679: Groupoid homomorphism
» D558: Ringoid
» D264: Semigroup