Theorems · Definition · category theory
CategoryTheory.shrinkCoyoneda
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.LocallySmall.{w, v, u} C] → CategoryTheory.Functor Cᵒᵖ (CategoryTheory.Functor C (Type w))The co-Yoneda embedding Cᵒᵖ ⥤ C ⥤ Type w for a locally w-small category C.
- Defined in
- Mathlib.CategoryTheory.ShrinkYoneda
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 27 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
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.flipproof · cited by 320
- CategoryTheory.LocallySmallstatement and proof · cited by 242
- CategoryTheory.shrinkYonedaproof · cited by 64
Cited by33
Results whose statement or proof uses this declaration.
- CategoryTheory.shrinkCoyonedaObjObjEquivstatement · cited by 17
- CategoryTheory.shrinkCoyonedaEquivstatement and proof · cited by 7
- CategoryTheory.GrothendieckTopology.IsLocalSite.pointproof · cited by 5
- CategoryTheory.GrothendieckTopology.IsLocalSite.pointPresheafFiberIsoproof · cited by 4
- CategoryTheory.shrinkCoyonedaCorepresentableBystatement · cited by 2
- CategoryTheory.shrinkCoyonedaIsoCoyonedastatement · cited by 2
- CategoryTheory.GrothendieckTopology.IsLocalSite.toPresheafFiber_pointPresheafFiberIso_homstatement and proof · cited by 2
- CategoryTheory.map_shrinkCoyonedaEquivstatement and proof · cited by 1
- CategoryTheory.shrinkCoyonedaEquiv_naturalitystatement and proof · cited by 1
- CategoryTheory.shrinkCoyonedaEquiv_symm_mapstatement and proof · cited by 1
- CategoryTheory.shrinkCoyonedaObjObjEquiv_map_appstatement and proof · cited by 1
- CategoryTheory.shrinkCoyonedaObjObjEquiv_obj_mapstatement and proof · cited by 1