Theorems · Definition · category theory
CategoryTheory.shrinkYonedaMon
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.LocallySmall.{w, v, u} C] →
[inst_2 : CategoryTheory.CartesianMonoidalCategory C] →
CategoryTheory.Functor (CategoryTheory.Mon C) (CategoryTheory.Functor Cᵒᵖ MonCat)The Yoneda embedding Mon C ⥤ Cᵒᵖ ⥤ MonCat.{w} for a locally w-small category C.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.LocallySmallstatement and proof · cited by 242
- MonCatstatement · cited by 127
- CategoryTheory.yonedaMonproof · cited by 10
- MonCat.shrinkFunctorproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.shrinkYonedaMonObjObjEquivstatement · cited by 3
- CategoryTheory.shrinkYonedaMon_obj_map_shrinkYonedaMonObjObjEquiv_symmstatement · cited by 1
- CategoryTheory.shrinkYonedaMonObjObjEquiv_symm_compstatement · cited by 0
- CategoryTheory.shrinkYonedaMon_mapstatement and proof · cited by 0
- CategoryTheory.shrinkYonedaMon_map_app_shrinkYonedaObjObjEquiv_symmstatement · cited by 0
- CategoryTheory.shrinkYonedaMon_objstatement and proof · cited by 0