Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.MayerVietorisSquare.toBiprod_fromBiprod_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C}
  [inst_1 : CategoryTheory.HasWeakSheafify J (Type v)] [inst_2 : CategoryTheory.HasSheafify J AddCommGrpCat]
  [inst_3 : CategoryTheory.HasExt (CategoryTheory.Sheaf J AddCommGrpCat)] (S : J.MayerVietorisSquare)
  (F : CategoryTheory.Sheaf J AddCommGrpCat) (n : ℕ) {Z : AddCommGrpCat} (h : F.H' n S.X₁ ⟶ Z),
  CategoryTheory.CategoryStruct.comp (S.toBiprod F n) (CategoryTheory.CategoryStruct.comp (S.fromBiprod F n) h) =
    CategoryTheory.CategoryStruct.comp 0 h

Defined in

Mathlib.CategoryTheory.Sites.SheafCohomology.MayerVietoris

Cited by

0 results in Mathlib

Foundations

Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasWeakSheafifyCategoryTheory.HasSheafifyCategoryTheory.HasExt