Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.W_eq_inverseImage_isomorphisms_of_adjunction

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (J : CategoryTheory.GrothendieckTopology C)
  {A : Type u_2} [inst_1 : CategoryTheory.Category.{v_2, u_2} A]
  {G : CategoryTheory.Functor (CategoryTheory.Functor Cᵒᵖ A) (CategoryTheory.Sheaf J A)}
  (adj : G ⊣ CategoryTheory.sheafToPresheaf J A),
  J.W = (CategoryTheory.MorphismProperty.isomorphisms (CategoryTheory.Sheaf J A)).inverseImage G

Defined in

Mathlib.CategoryTheory.Sites.Localization

Cited by

1 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category