Theorems · Definition · category theory

HomologicalComplex.mkHomToSingle

{V : Type u} →
  [inst : CategoryTheory.Category.{v, u} V] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] →
      [inst_2 : CategoryTheory.Limits.HasZeroObject V] →
        {ι : Type u_1} →
          [inst_3 : DecidableEq ι] →
            {c : ComplexShape ι} →
              {K : HomologicalComplex V c} →
                {j : ι} →
                  {A : V} →
                    (φ : K.X j ⟶ A) →
                      (∀ (i : ι), c.Rel i j → CategoryTheory.CategoryStruct.comp (K.d i j) φ = 0) →
                        (K ⟶ (HomologicalComplex.single V c j).obj A)

Constructor for morphisms to a single homological complex.

Defined in

Mathlib.Algebra.Homology.Single

Cited by

4 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectDecidableEq