Theorems · Definition · category theory

CategoryTheory.Functor.comp

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {E : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} E] →
            CategoryTheory.Functor C D → CategoryTheory.Functor D E → CategoryTheory.Functor C E

F ⋙ G is the composition of a functor F and a functor G (F first, then G).

Defined in

Mathlib.CategoryTheory.Functor.Basic

Cited by

6,529 results in Mathlib

Foundations

Depth 15 from the axioms, rests on 93 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category