Theorems · Definition · category theory

CochainComplex.HomComplex.CohomologyClass.descAddMonoidHom

{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) →
                CochainComplex.HomComplex.coboundaries K L n ≤ f.ker →
                  CochainComplex.HomComplex.CohomologyClass K L n →+ G

Constructor for additive morphisms from CohomologyClass K L n.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexCohomology

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveAddCommGroup