Theorems · Definition · category theory

CategoryTheory.Functor.obj

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor C D → C → D

The action of a functor on objects.

Defined in

Mathlib.CategoryTheory.Functor.Basic

Cited by

19,642 results in Mathlib

Foundations

Depth 2 from the axioms, rests on 3 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category