Theorems · Inductive type · category theory

CategoryTheory.GrothendieckTopology.HasSheafCompose

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {A : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} A] →
        {B : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} B] →
            CategoryTheory.GrothendieckTopology C → CategoryTheory.Functor A B → Prop

Describes the property of a functor to "preserve sheaves".

Defined in

Mathlib.CategoryTheory.Sites.Whiskering

Cited by

42 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category