Theorems · Theorem · category theory

CategoryTheory.isVanKampenColimit_of_isEmpty

∀ {J : Type v'} [inst : CategoryTheory.Category.{u', v'} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  [CategoryTheory.Limits.HasStrictInitialObjects C] [IsEmpty J] {F : CategoryTheory.Functor J C}
  (c : CategoryTheory.Limits.Cocone F) (hc : CategoryTheory.Limits.IsColimit c), CategoryTheory.IsVanKampenColimit c

Defined in

Mathlib.CategoryTheory.Limits.VanKampen

Cited by

2 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasStrictInitialObjectsIsEmpty