Theorems · Definition · category theory

CategoryTheory.Functor.mapCoconeWhisker

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {K : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} K] →
        {C : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} C] →
            {D : Type u₄} →
              [inst_3 : CategoryTheory.Category.{v₄, u₄} D] →
                (H : CategoryTheory.Functor C D) →
                  {F : CategoryTheory.Functor J C} →
                    {E : CategoryTheory.Functor K J} →
                      {c : CategoryTheory.Limits.Cocone F} →
                        H.mapCocone (CategoryTheory.Limits.Cocone.whisker E c) ≅
                          CategoryTheory.Limits.Cocone.whisker E (H.mapCocone c)

mapCocone commutes with whisker

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

3 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category