Theorems · Theorem · category theory

CategoryTheory.Functor.Final.colimitIso_inv

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D) [inst_2 : F.Final] {E : Type u₃} [inst_3 : CategoryTheory.Category.{v₃, u₃} E]
  (G : CategoryTheory.Functor D E) [inst_4 : CategoryTheory.Limits.HasColimit G],
  (CategoryTheory.Functor.Final.colimitIso F G).inv = CategoryTheory.inv (CategoryTheory.Limits.colimit.pre G F)

Defined in

Mathlib.CategoryTheory.Limits.Final

Cited by

0 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.FinalCategoryTheory.CategoryCategoryTheory.Limits.HasColimit