**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 $X$ |

Definition D263

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 $X$ |

Children

▶ | Groupoid homomorphism |

▶ | Ringoid |

▶ | Semigroup |