Theorems · Definition · category theory
CategoryTheory.yonedaGrp
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
CategoryTheory.Functor (CategoryTheory.Grp C) (CategoryTheory.Functor Cᵒᵖ GrpCat)The yoneda embedding of Grp C into presheaves of groups.
- Cited by
- 9 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.
Cites15
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 · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- GrpCatstatement · cited by 146
- CategoryTheory.Grpstatement and proof · cited by 144
- CategoryTheory.Grp.Xproof · cited by 99
- MonCat.Hom.homproof · cited by 38
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.comp_invproof · cited by 10
- CategoryTheory.shrinkYonedaGrpproof · cited by 5
- CategoryTheory.GrpObj.comp_divproof · cited by 1
- CategoryTheory.GrpObj.div_compproof · cited by 1
- CategoryTheory.GrpObj.zpow_compproof · cited by 1
- CategoryTheory.yonedaGrp_map_appstatement and proof · cited by 0
- CategoryTheory.yonedaGrp_objstatement and proof · cited by 0
- CategoryTheory.shrinkYonedaGrp_mapstatement · cited by 0
- CategoryTheory.shrinkYonedaGrp_objstatement · cited by 0
- CategoryTheory.yonedaGrpFullyFaithfulstatement and proof · cited by 0
- CategoryTheory.essImage_yonedaGrpstatement and proof · cited by 0