Theorems · Theorem · category theory

CategoryTheory.Equivalence.hasSheafify

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (J : CategoryTheory.GrothendieckTopology C) {D : Type u₂}
  [inst_1 : CategoryTheory.Category.{v₂, u₂} D] (K : CategoryTheory.GrothendieckTopology D) (e : C ≌ D) (A : Type u₃)
  [inst_2 : CategoryTheory.Category.{v₃, u₃} A] [CategoryTheory.Functor.IsDenseSubsite K J e.inverse]
  [CategoryTheory.HasSheafify K A], CategoryTheory.HasSheafify J A

Transport HasSheafify along an equivalence of sites.

Defined in

Mathlib.CategoryTheory.Sites.Equivalence

Cited by

1 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsDenseSubsiteCategoryTheory.HasSheafify