Theorems · Definition · category theory

Homotopy.compRight

{ι : Type u_1} →
  {V : Type u} →
    [inst : CategoryTheory.Category.{v, u} V] →
      [inst_1 : CategoryTheory.Preadditive V] →
        {c : ComplexShape ι} →
          {C D E : HomologicalComplex V c} →
            {e f : C ⟶ D} →
              Homotopy e f →
                (g : D ⟶ E) → Homotopy (CategoryTheory.CategoryStruct.comp e g) (CategoryTheory.CategoryStruct.comp f g)

homotopy is closed under composition (on the right)

Defined in

Mathlib.Algebra.Homology.Homotopy

Cited by

4 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive