Theorems · Definition · category theory
CategoryTheory.Limits.ColimitCocone.cocone
{J : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} J] →
{C : Type u} →
[inst_1 : CategoryTheory.Category.{v, u} C] →
{F : CategoryTheory.Functor J C} → CategoryTheory.Limits.ColimitCocone F → CategoryTheory.Limits.Cocone FThe cocone itself
- Defined in
- Mathlib.CategoryTheory.Limits.HasLimits
- Cited by
- 42 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.Limits.Coconestatement · cited by 746
- CategoryTheory.Limits.ColimitCoconestatement and proof · cited by 20
Cited by50
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.colimit.coconeproof · cited by 136
- CategoryTheory.Limits.colimit.isoColimitCocone_ι_homstatement and proof · cited by 27
- CategoryTheory.Limits.ColimitCocone.isColimitstatement · cited by 23
- CategoryTheory.Limits.colimit.isoColimitCoconestatement · cited by 18
- CategoryTheory.Limits.colimit.isoColimitCocone_ι_invstatement and proof · cited by 8
- CategoryTheory.Limits.colimit.isoColimitCocone_ι_inv_assocstatement and proof · cited by 3
- CategoryTheory.Functor.Final.colimitCoconeOfCompproof · cited by 3
- CategoryTheory.Limits.combineCoconesproof · cited by 3
- CategoryTheory.Functor.Final.colimitCoconeCompproof · cited by 2
- CategoryTheory.Limits.colimit.isoColimitCocone_ι_hom_assocstatement and proof · cited by 1
- CategoryTheory.Limits.Types.coequalizer_preimage_image_eq_of_preimage_eqproof · cited by 1
- CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToFinsetColimIso_auxstatement · cited by 1