Theorems · Definition · category theory
CategoryTheory.yonedaAddMon
{C : Type u_1} →
[inst : CategoryTheory.Category.{v, u_1} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
CategoryTheory.Functor (CategoryTheory.AddMon C) (CategoryTheory.Functor Cᵒᵖ AddMonCat)The yoneda embedding of AddMon C into presheaves of additive monoids.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 43 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.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- Opposite.unopproof · cited by 2,231
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.AddMonstatement and proof · cited by 177
- CategoryTheory.AddMon.Xproof · cited by 126
- CategoryTheory.AddMon.Hom.homproof · cited by 94
- AddMonCatstatement · cited by 71
- AddMonCat.ofHomproof · cited by 17
- CategoryTheory.yonedaAddMonObjproof · cited by 12
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMonObj.comp_addproof · cited by 9
- CategoryTheory.yonedaAddGrpproof · cited by 7
- CategoryTheory.AddMonObj.comp_zeroproof · cited by 6
- CategoryTheory.Hom.addEquivCongrRightproof · cited by 2
- CategoryTheory.yonedaAddGrp_map_appstatement · cited by 0
- CategoryTheory.yonedaAddMonFullyFaithfulstatement and proof · cited by 0
- CategoryTheory.yonedaAddMon_map_appstatement and proof · cited by 0
- CategoryTheory.yonedaAddMon_objstatement and proof · cited by 0
- CategoryTheory.essImage_yonedaAddMonstatement and proof · cited by 0
- CategoryTheory.Hom.addEquivCongrRight_applystatement and proof · cited by 0
- CategoryTheory.Hom.addEquivCongrRight_symm_applystatement and proof · cited by 0