Theorems · Definition · category theory

CategoryTheory.HasWeakSheafify

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

A proposition saying that the inclusion functor from sheaves to presheaves admits a left adjoint.

Defined in

Mathlib.CategoryTheory.Sites.Sheafification

Cited by

221 results in Mathlib

Foundations

Depth 36 from the axioms, rests on 325 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category