Theorems · Definition · category theory
CategoryTheory.Limits.Cocone.forget
{J : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} J] →
{C : Type u₃} →
[inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
(F : CategoryTheory.Functor J C) → CategoryTheory.Functor (CategoryTheory.Limits.Cocone F) CForget the cocone structure and obtain just the cocone point.
- Defined in
- Mathlib.CategoryTheory.Limits.Cones
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Limits.Cocone.ptproof · cited by 1,354
- CategoryTheory.Limits.Coconestatement and proof · cited by 746
- CategoryTheory.Limits.CoconeMorphism.homproof · cited by 137
Cited by21
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.IsColimit.coconePointUniqueUpToIsoproof · cited by 67
- CategoryTheory.Limits.colimit.isoColimitCocone_ι_homproof · cited by 27
- CategoryTheory.IsVanKampenColimit.of_isoproof · cited by 9
- CategoryTheory.Limits.colimit.isoColimitCocone_ι_invproof · cited by 8
- CategoryTheory.Limits.Cocone.forget_mapstatement and proof · cited by 6
- CategoryTheory.Limits.cokernel.ofEpiproof · cited by 1
- CategoryTheory.Limits.reflectsColimit_of_reflectsIsomorphismsproof · cited by 1
- CategoryTheory.Limits.coconePointwiseProductIsoproof · cited by 1
- CategoryTheory.Limits.Cocone.forget_objstatement and proof · cited by 0
- CategoryTheory.Limits.cokernelBiprodInlIso_homstatement · cited by 0
- CategoryTheory.Limits.cokernelBiprodInlIso_invstatement · cited by 0