Theorems · Definition · category theory

CategoryTheory.Functor.Elements

{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor C (Type w) → Type (max u w)

The type of objects for the category of elements of a functor F : C ⥤ Type is a pair (X : C, x : F.obj X).

Defined in

Mathlib.CategoryTheory.Elements

Cited by

141 results in Mathlib

Foundations

Depth 11 from the axioms, rests on 53 definitions · uses no axioms

Assumes

CategoryTheory.Category