Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.FinitaryExtensive.vanKampen

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.FinitaryExtensive C]
  {F : CategoryTheory.Functor (CategoryTheory.Discrete CategoryTheory.Limits.WalkingPair) C}
  (c : CategoryTheory.Limits.Cocone F) (hc : CategoryTheory.Limits.IsColimit c), CategoryTheory.IsVanKampenColimit c
Defined in
Mathlib.CategoryTheory.Extensive
Cited by
5 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.FinitaryExtensive

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites18

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.