Theorems · Theorem · category theory

CategoryTheory.FinitaryExtensive.isVanKampen_finiteCoproducts

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.FinitaryExtensive C] {ι : Type u_1} [Finite ι]
  {F : CategoryTheory.Functor (CategoryTheory.Discrete ι) C} {c : CategoryTheory.Limits.Cocone F}
  (hc : CategoryTheory.Limits.IsColimit c), CategoryTheory.IsVanKampenColimit c

Defined in

Mathlib.CategoryTheory.Extensive

Cited by

3 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.FinitaryExtensiveFinite