Theorems · Definition · category theory

CategoryTheory.Limits.colimit.desc

{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.HasColimit F] →
            (c : CategoryTheory.Limits.Cocone F) → CategoryTheory.Limits.colimit F ⟶ c.pt

The morphism from the colimit object to the cone point of any other cocone.

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

63 results in Mathlib

Foundations

Depth 7 from the axioms · uses Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimit