Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.yonedaEquiv_apply

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C)
  [inst_1 : J.Subcanonical] {X : C} {F : CategoryTheory.Sheaf J (Type v)} (f : J.yoneda.obj X ⟶ F),
  J.yonedaEquiv f =
    (CategoryTheory.ConcreteCategory.hom (f.hom.app (Opposite.op X))) (CategoryTheory.CategoryStruct.id X)

Defined in

Mathlib.CategoryTheory.Sites.Subcanonical

Cited by

1 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GrothendieckTopology.Subcanonical