Theorems · Definition · category theory

CategoryTheory.Equivalence.sheafCongr.inverse

{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.Functor (CategoryTheory.Sheaf K A) (CategoryTheory.Sheaf J A)

The inverse in the equivalence of sheaf categories.

Defined in

Mathlib.CategoryTheory.Sites.Equivalence

Cited by

23 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsDenseSubsite