Theorems · Theorem · category theory

CategoryTheory.Limits.HasColimit.ofCoconesIso

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {K : Type u₁} [inst_2 : CategoryTheory.Category.{v₂, u₁} K] (F : CategoryTheory.Functor J C)
  (G : CategoryTheory.Functor K C) (h : F.cocones ≅ G.cocones) [CategoryTheory.Limits.HasColimit F],
  CategoryTheory.Limits.HasColimit G

If a functor G has the same collection of cocones as a functor F which has a colimit, then G also has a colimit.

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimit