Theorems · Theorem · category theory

CategoryTheory.whiskering_preadditiveYoneda

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C],
  CategoryTheory.preadditiveYoneda.comp
      ((CategoryTheory.Functor.whiskeringRight Cᵒᵖ AddCommGrpCat (Type v)).obj (CategoryTheory.forget AddCommGrpCat)) =
    CategoryTheory.yoneda

Composing the preadditive yoneda embedding with the forgetful functor yields the regular Yoneda embedding.

Defined in

Mathlib.CategoryTheory.Preadditive.Yoneda.Basic

Cited by

1 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive