Theorems · Definition · category theory

CategoryTheory.Limits.CatCospanTransform.rightUnitor

{A : Type u₁} →
  {B : Type u₂} →
    {C : Type u₃} →
      {A' : Type u₄} →
        {B' : Type u₅} →
          {C' : Type u₆} →
            [inst : CategoryTheory.Category.{v₁, u₁} A] →
              [inst_1 : CategoryTheory.Category.{v₂, u₂} B] →
                [inst_2 : CategoryTheory.Category.{v₃, u₃} C] →
                  {F : CategoryTheory.Functor A B} →
                    {G : CategoryTheory.Functor C B} →
                      [inst_3 : CategoryTheory.Category.{v₄, u₄} A'] →
                        [inst_4 : CategoryTheory.Category.{v₅, u₅} B'] →
                          [inst_5 : CategoryTheory.Category.{v₆, u₆} C'] →
                            {F' : CategoryTheory.Functor A' B'} →
                              {G' : CategoryTheory.Functor C' B'} →
                                (φ : CategoryTheory.Limits.CatCospanTransform F G F' G') →
                                  φ.comp (CategoryTheory.Limits.CatCospanTransform.id F' G') ≅ φ

The right unitor isomorphism for categorical cospan transformations.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.CatCospanTransform

Cited by

13 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category