Theorems · Definition · category theory

CategoryTheory.Limits.colimit.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) →
          {D : Type u'} →
            [inst_2 : CategoryTheory.Category.{v', u'} D] →
              [inst_3 : CategoryTheory.Limits.HasColimit F] →
                (G : CategoryTheory.Functor C D) →
                  [inst_4 : CategoryTheory.Limits.HasColimit (F.comp G)] →
                    CategoryTheory.Limits.colimit (F.comp G) ⟶ G.obj (CategoryTheory.Limits.colimit F)

The canonical morphism from G applied to the colimit of F ⋙ G to G applied to the colimit of F.

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

8 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimitCategoryTheory.Limits.HasColimit