Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.yonedaEquiv_symm_app_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)} (x : F.obj.obj (Opposite.op X)) (Y : Cᵒᵖ)
  (f : Opposite.unop Y ⟶ X),
  (CategoryTheory.ConcreteCategory.hom ((J.yonedaEquiv.symm x).hom.app Y)) f =
    (CategoryTheory.ConcreteCategory.hom (F.obj.map f.op)) x

Defined in

Mathlib.CategoryTheory.Sites.Subcanonical

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.GrothendieckTopology.Subcanonical