Theorems · Definition · category theory

CategoryTheory.preadditiveYonedaMap

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      {D : Type u₁} →
        [inst_2 : CategoryTheory.Category.{v, u₁} D] →
          [inst_3 : CategoryTheory.Preadditive D] →
            (F : CategoryTheory.Functor C D) →
              [F.Additive] →
                (X : C) →
                  CategoryTheory.preadditiveYoneda.obj X ⟶ F.op.comp (CategoryTheory.preadditiveYoneda.obj (F.obj X))

The natural transformation preadditiveYoneda.obj X ⟶ F.op ⋙ preadditiveYoneda.obj (F.obj X) when F : C ⥤ D is an additive functor between preadditive categories and X : C.

Defined in

Mathlib.CategoryTheory.Preadditive.Yoneda.Basic

Cited by

3 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Functor.Additive