Theorems · Theorem · category theory

CategoryTheory.Sheaf.isSeparated

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {A : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} A]
  {J : CategoryTheory.GrothendieckTopology C} {FA : A → A → Type u_1} {CA : A → Type u_2}
  [inst_2 : (X Y : A) → FunLike (FA X Y) (CA X) (CA Y)] [inst_3 : CategoryTheory.ConcreteCategory A FA]
  [J.HasSheafCompose (CategoryTheory.forget A)] (F : CategoryTheory.Sheaf J A),
  CategoryTheory.Presheaf.IsSeparated J F.obj

Defined in

Mathlib.CategoryTheory.Sites.Whiskering

Cited by

8 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategoryCategoryTheory.GrothendieckTopology.HasSheafCompose