Theorems · Definition · category theory

CategoryTheory.Idempotents.functorExtension

(C : Type u_1) →
  (D : Type u_2) →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        [CategoryTheory.IsIdempotentComplete D] →
          CategoryTheory.Functor (CategoryTheory.Functor C D)
            (CategoryTheory.Functor (CategoryTheory.Idempotents.Karoubi C) D)

The extension of functors functor (C ⥤ D) ⥤ (Karoubi C ⥤ D) when D is idempotent complete.

Defined in

Mathlib.CategoryTheory.Idempotents.FunctorExtension

Cited by

4 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.IsIdempotentComplete