Theorems · Theorem · category theory

CategoryTheory.Functor.Final.preservesColimit_of_comp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D) [F.Final] {E : Type u₃} [inst_3 : CategoryTheory.Category.{v₃, u₃} E]
  {G : CategoryTheory.Functor D E} {B : Type u₄} [inst_4 : CategoryTheory.Category.{v₄, u₄} B]
  {H : CategoryTheory.Functor E B} [CategoryTheory.Limits.PreservesColimit (F.comp G) H],
  CategoryTheory.Limits.PreservesColimit G H

Defined in

Mathlib.CategoryTheory.Limits.Final

Cited by

1 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.FinalCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.PreservesColimit