Theorems · Definition · category theory

CategoryTheory.Arrow.RightHomotopy.compRight

{V : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} V] →
    [inst_1 : CategoryTheory.Preadditive V] →
      {u v w : CategoryTheory.Arrow V} →
        {e f : u ⟶ v} →
          CategoryTheory.Arrow.RightHomotopy e f →
            (g : v ⟶ w) →
              CategoryTheory.Arrow.RightHomotopy (CategoryTheory.CategoryStruct.comp e g)
                (CategoryTheory.CategoryStruct.comp f g)

Right homotopy is closed under composition (on the right).

Defined in

Mathlib.CategoryTheory.Preadditive.FreydCategory.Homotopy

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive