Theorems · Theorem · category theory

CategoryTheory.Functor.OneHypercoverDenseData.SieveStruct.fac

∀ {C₀ : Type u₀} {C : Type u} [inst : CategoryTheory.Category.{v₀, u₀} C₀] [inst_1 : CategoryTheory.Category.{v, u} C]
  {F : CategoryTheory.Functor C₀ C} {J₀ : CategoryTheory.GrothendieckTopology C₀}
  {J : CategoryTheory.GrothendieckTopology C} {X : C} {data : F.OneHypercoverDenseData J₀ J X} {X₀ : C₀}
  {f : F.obj X₀ ⟶ X} {Y₀ : C₀} {g : Y₀ ⟶ X₀} (self : data.SieveStruct f g),
  CategoryTheory.CategoryStruct.comp self.q (data.f self.i₀) = CategoryTheory.CategoryStruct.comp (F.map g) f

Defined in

Mathlib.CategoryTheory.Sites.DenseSubsite.OneHypercoverDense

Cited by

3 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category