Theorems · Theorem · category theory

CochainComplex.HomComplex.CohomologyClass.descAddMonoidHom_cohomologyClass

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {K L : CochainComplex C ℤ} {n : ℤ} {G : Type u_2} [inst_2 : AddCommGroup G]
  (f : CochainComplex.HomComplex.Cocycle K L n →+ G) (hf : CochainComplex.HomComplex.coboundaries K L n ≤ f.ker)
  (x : CochainComplex.HomComplex.Cocycle K L n),
  (CochainComplex.HomComplex.CohomologyClass.descAddMonoidHom f hf) (CochainComplex.HomComplex.CohomologyClass.mk x) =
    f x

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexCohomology

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveAddCommGroup