Theorems · Theorem · category theory

CategoryTheory.Functor.reprW_hom_app

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (F : CategoryTheory.Functor Cᵒᵖ (Type v₁))
  [inst_1 : F.IsRepresentable] (X : Cᵒᵖ) (f : Opposite.unop X ⟶ F.reprX),
  (CategoryTheory.ConcreteCategory.hom (F.reprW.hom.app X)) f =
    (CategoryTheory.ConcreteCategory.hom (F.map f.op)) F.reprx

Defined in

Mathlib.CategoryTheory.Yoneda

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Functor.IsRepresentable