Theorems · Definition · category theory

CategoryTheory.ShortComplex.HomologyMapData.comp

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {S₁ S₂ S₃ : CategoryTheory.ShortComplex C} →
        {φ : S₁ ⟶ S₂} →
          {φ' : S₂ ⟶ S₃} →
            {h₁ : S₁.HomologyData} →
              {h₂ : S₂.HomologyData} →
                {h₃ : S₃.HomologyData} →
                  CategoryTheory.ShortComplex.HomologyMapData φ h₁ h₂ →
                    CategoryTheory.ShortComplex.HomologyMapData φ' h₂ h₃ →
                      CategoryTheory.ShortComplex.HomologyMapData (CategoryTheory.CategoryStruct.comp φ φ') h₁ h₃

The composition of homology map data.

Defined in

Mathlib.Algebra.Homology.ShortComplex.Homology

Cited by

2 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms