Theorems · Definition · category theory
CategoryTheory.Limits.IndObjectPresentation.coconeIsColimit
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{A : CategoryTheory.Functor Cᵒᵖ (Type v)} →
(P : CategoryTheory.Limits.IndObjectPresentation A) → CategoryTheory.Limits.IsColimit P.coconeP.cocone is a colimit cocone.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Limits.IsColimitstatement · cited by 773
- CategoryTheory.yonedastatement · cited by 351
- CategoryTheory.Limits.IndObjectPresentationstatement and proof · cited by 20
- CategoryTheory.Limits.IndObjectPresentation.Istatement · cited by 18
- CategoryTheory.Limits.IndObjectPresentation.Fstatement · cited by 12
- CategoryTheory.Limits.IndObjectPresentation.ℐstatement · cited by 11
- CategoryTheory.Limits.IndObjectPresentation.coconestatement · cited by 8
- CategoryTheory.Limits.IndObjectPresentation.isColimitproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.IndObjectPresentation.extendproof · cited by 6
- CategoryTheory.Limits.IndObjectPresentation.extend_isColimit_desc_app_hom_applystatement and proof · cited by 0