Theorems · Theorem · category theory

CategoryTheory.OverPresheafAux.counitForward_val_snd

∀ {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)}
  (s : CategoryTheory.CostructuredArrow CategoryTheory.yoneda A) (x : F.obj (Opposite.op s)),
  CategoryTheory.OverPresheafAux.YonedaCollection.snd (CategoryTheory.OverPresheafAux.counitForward F s x).val =
    (CategoryTheory.ConcreteCategory.hom (F.map (CategoryTheory.eqToHom ⋯))) x

Defined in

Mathlib.CategoryTheory.Comma.Presheaf.Basic

Cited by

4 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category