This file contains the definition of the category Groupoid of all groupoids. In this category objects are groupoids and morphisms are functors between these groupoids.
We also provide two “forgetting” functors: objects : Groupoid ⥤ Type and forget_to_Cat : Groupoid ⥤ Cat.
Though Groupoid is not a concrete category, we use bundled to define its carrier type.
Category of groupoids
Construct a bundled Groupoid from the underlying type and the typeclass.
Category structure on Groupoid
Functor that gets the set of objects of a groupoid. It is not called forget, because it is not a faithful functor.
Forgetting functor to Cat