Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.W_eq_isLocal_range_sheafToPresheaf_obj

∀ {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],
  J.W = CategoryTheory.ObjectProperty.isLocal fun x => x ∈ Set.range (CategoryTheory.sheafToPresheaf J A).obj

Defined in

Mathlib.CategoryTheory.Sites.Localization

Cited by

5 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category