Theorems · Definition · category theory

CategoryTheory.OverPresheafAux.restrictedYonedaObj

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

This is basically just yoneda.obj η : (Over A)ᵒᵖ ⥤ Type (max u v) restricted along the forgetful functor CostructuredArrow yoneda A ⥤ Over A, but done in a way that we land in a smaller universe.

Defined in

Mathlib.CategoryTheory.Comma.Presheaf.Basic

Cited by

17 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category