Theorems · Definition · category theory

CategoryTheory.fullyFaithfulSheafToPresheaf

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (J : CategoryTheory.GrothendieckTopology C) →
      (A : Type u₂) → [inst_1 : CategoryTheory.Category.{v₂, u₂} A] → (CategoryTheory.sheafToPresheaf J A).FullyFaithful

The functor Sheaf J A ⥤ Cᵒᵖ ⥤ A is fully faithful.

Defined in

Mathlib.CategoryTheory.Sites.Sheaf

Cited by

10 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category