Theorems · Theorem · category theory

CategoryTheory.OverPresheafAux.app_unitForward

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A F : CategoryTheory.Functor Cᵒᵖ (Type v)} (η : F ⟶ A)
  (X : Cᵒᵖ)
  (p :
    CategoryTheory.OverPresheafAux.YonedaCollection (CategoryTheory.OverPresheafAux.restrictedYonedaObj η)
      (Opposite.unop X)),
  (CategoryTheory.ConcreteCategory.hom (η.app X)) (CategoryTheory.OverPresheafAux.unitForward η (Opposite.unop X) p) =
    p.yonedaEquivFst

Defined in

Mathlib.CategoryTheory.Comma.Presheaf.Basic

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category