Theorems · Definition · category theory

CategoryTheory.OverPresheafAux.yonedaCollectionPresheafToA

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {A : CategoryTheory.Functor Cᵒᵖ (Type v)} →
      (F : CategoryTheory.Functor (CategoryTheory.CostructuredArrow CategoryTheory.yoneda A)ᵒᵖ (Type v)) →
        CategoryTheory.OverPresheafAux.yonedaCollectionPresheaf A F ⟶ A

The Yoneda lemma yields a natural transformation yonedaCollectionPresheaf A F ⟶ A.

Defined in

Mathlib.CategoryTheory.Comma.Presheaf.Basic

Cited by

13 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category