Theorems · Definition · category theory

CategoryTheory.Arrow.RightHomotopy.compLeftId

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

A variant of RightHomotopy.compLeft useful for dealing with homotopy equivalences.

Defined in

Mathlib.CategoryTheory.Preadditive.FreydCategory.Homotopy

Cited by

1 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive