Theorems · Theorem · category theory

CategoryTheory.Limits.colimit.map_post

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {F : CategoryTheory.Functor J C} [inst_2 : CategoryTheory.Limits.HasColimitsOfShape J C]
  {G : CategoryTheory.Functor J C} (α : F ⟶ G) {D : Type u'} [inst_3 : CategoryTheory.Category.{v', u'} D]
  [inst_4 : CategoryTheory.Limits.HasColimitsOfShape J D] (H : CategoryTheory.Functor C D),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.colimit.post F H)
      (H.map (CategoryTheory.Limits.colim.map α)) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.colim.map (CategoryTheory.Functor.whiskerRight α H))
      (CategoryTheory.Limits.colimit.post G H)

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimitsOfShapeCategoryTheory.CategoryCategoryTheory.Limits.HasColimitsOfShape