Theorems · Definition · category theory

HomologicalComplex.Hom.sqTo

{ι : Type u_1} →
  {V : Type u} →
    [inst : CategoryTheory.Category.{v, u} V] →
      [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] →
        {c : ComplexShape ι} →
          {C₁ C₂ : HomologicalComplex V c} →
            C₁.Hom C₂ → (j : ι) → CategoryTheory.Arrow.mk (C₁.dTo j) ⟶ CategoryTheory.Arrow.mk (C₂.dTo j)

A morphism of chain complexes induces a morphism of arrows of the differentials into each object.

Defined in

Mathlib.Algebra.Homology.HomologicalComplex

Cited by

2 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms