Theorems · Definition · category theory

CategoryTheory.Limits.colimit.pre

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {K : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} K] →
        {C : Type u} →
          [inst_2 : CategoryTheory.Category.{v, u} C] →
            (F : CategoryTheory.Functor J C) →
              [inst_3 : CategoryTheory.Limits.HasColimit F] →
                (E : CategoryTheory.Functor K J) →
                  [inst_4 : CategoryTheory.Limits.HasColimit (E.comp F)] →
                    CategoryTheory.Limits.colimit (E.comp F) ⟶ CategoryTheory.Limits.colimit F

The canonical morphism from the colimit of E ⋙ F to the colimit of F.

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

31 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

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