Theorems · Theorem · category theory

CategoryTheory.Sheaf.H.map_add_apply

∀ {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)] {F G : CategoryTheory.Sheaf J AddCommGrpCat}
  {n : ℕ} (f g : F ⟶ G) (x : F.H n),
  (CategoryTheory.Sheaf.H.map (f + g) n) x = (CategoryTheory.Sheaf.H.map f n) x + (CategoryTheory.Sheaf.H.map g n) x

Defined in

Mathlib.CategoryTheory.Sites.SheafCohomology.Basic

Cited by

0 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasSheafifyCategoryTheory.HasExt