Theorems · Theorem · category theory
CategoryTheory.FinitaryPreExtensive.isUniversal_finiteCoproducts_Fin
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.FinitaryPreExtensive C] {n : ℕ}
{F : CategoryTheory.Functor (CategoryTheory.Discrete (Fin n)) C} {c : CategoryTheory.Limits.Cocone F}
(hc : CategoryTheory.Limits.IsColimit c), CategoryTheory.IsUniversalColimit c- Defined in
- Mathlib.CategoryTheory.Extensive
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.Limits.Cocone.ptproof · cited by 1,354
- CategoryTheory.Limits.IsColimitstatement and proof · cited by 773
- CategoryTheory.Limits.Coconestatement and proof · cited by 746
- CategoryTheory.Discrete.functorproof · cited by 633
- CategoryTheory.Limits.sigmaObjproof · cited by 302
- CategoryTheory.Discrete.asproof · cited by 269
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.FinitaryPreExtensive.isUniversal_finiteCoproductsproof · cited by 3