Theorems · Definition · category theory

CategoryTheory.Limits.colimCompFlipIsoWhiskerColim

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : Type u₁} →
      [inst_1 : CategoryTheory.Category.{v₁, u₁} J] →
        {K : Type u₂} →
          [inst_2 : CategoryTheory.Category.{v₂, u₂} K] →
            [inst_3 : CategoryTheory.Limits.HasColimitsOfShape J C] →
              (CategoryTheory.flipFunctor K J C).comp CategoryTheory.Limits.colim ≅
                (CategoryTheory.Functor.whiskeringRight K (CategoryTheory.Functor J C) C).obj
                  CategoryTheory.Limits.colim

colimitFlipIsoCompColim is natural with respect to diagrams.

Defined in

Mathlib.CategoryTheory.Limits.FunctorCategory.Basic

Cited by

2 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimitsOfShape