Theorems · Theorem · category theory

CategoryTheory.Equivalence.hasSheafCompose

∀ {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)
  [CategoryTheory.Functor.IsDenseSubsite K J e.inverse] {A : Type u_1} [inst_3 : CategoryTheory.Category.{v_1, u_1} A]
  {B : Type u_2} [inst_4 : CategoryTheory.Category.{v_2, u_2} B] (F : CategoryTheory.Functor A B) [K.HasSheafCompose F],
  J.HasSheafCompose F

Defined in

Mathlib.CategoryTheory.Sites.Equivalence

Cited by

0 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsDenseSubsiteCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.GrothendieckTopology.HasSheafCompose