Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.W_isInvertedBy_whiskeringRight_presheafToSheaf

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C) {A : Type u_1}
  {B : Type u_2} [inst_1 : CategoryTheory.Category.{v_1, u_1} A] [inst_2 : CategoryTheory.Category.{v_2, u_2} B]
  (F : CategoryTheory.Functor A B) [J.PreservesSheafification F] [inst_4 : CategoryTheory.HasWeakSheafify J B],
  J.W.IsInvertedBy (((CategoryTheory.Functor.whiskeringRight Cᵒᵖ A B).obj F).comp (CategoryTheory.presheafToSheaf J B))

Defined in

Mathlib.CategoryTheory.Sites.PreservesSheafification

Cited by

0 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.GrothendieckTopology.PreservesSheafificationCategoryTheory.HasWeakSheafify