Theorems · Definition · category theory
CategoryTheory.yonedaAddGrp
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
CategoryTheory.Functor (CategoryTheory.AddGrp C) (CategoryTheory.Functor Cᵒᵖ AddGrpCat)The yoneda embedding of AddGrp_C into presheaves of additive groups.
- Cited by
- 7 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
- CategoryTheory.AddGrpstatement and proof · cited by 91
- AddGrpCatstatement · cited by 80
- CategoryTheory.AddGrp.Xproof · cited by 64
- AddMonCat.Hom.homproof · cited by 21
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrpObj.comp_negproof · cited by 9
- CategoryTheory.AddGrpObj.sub_compproof · cited by 1
- CategoryTheory.AddGrpObj.comp_subproof · cited by 1
- CategoryTheory.AddGrpObj.zsmul_compproof · cited by 1
- CategoryTheory.yonedaAddGrpFullyFaithfulstatement and proof · cited by 0
- CategoryTheory.yonedaAddGrp_map_appstatement and proof · cited by 0
- CategoryTheory.yonedaAddGrp_objstatement and proof · cited by 0
- CategoryTheory.essImage_yonedaAddGrpstatement and proof · cited by 0