Theorems · Definition · category theory

CategoryTheory.OverPresheafAux.YonedaCollection.yonedaEquivFst

{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)} →
        {X : C} → CategoryTheory.OverPresheafAux.YonedaCollection F X → A.obj (Opposite.op X)

This is a definition because it will be helpful to be able to control precisely when this definition is unfolded.

Defined in

Mathlib.CategoryTheory.Comma.Presheaf.Basic

Cited by

5 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category