Theorems · Theorem · category theory

CategoryTheory.Sheaf.functorH_obj_coe

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C)
  [inst_1 : CategoryTheory.HasSheafify J AddCommGrpCat]
  [inst_2 : CategoryTheory.HasExt (CategoryTheory.Sheaf J AddCommGrpCat)] (n : ℕ)
  (F : CategoryTheory.Sheaf J AddCommGrpCat), ↑((CategoryTheory.Sheaf.functorH J n).obj F) = F.H n

Defined in

Mathlib.CategoryTheory.Sites.SheafCohomology.Basic

Cited by

1 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasSheafifyCategoryTheory.HasExt