Theorems · Definition · category theory
CategoryTheory.yonedaMon
{C : Type u_1} →
[inst : CategoryTheory.Category.{v, u_1} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
CategoryTheory.Functor (CategoryTheory.Mon C) (CategoryTheory.Functor Cᵒᵖ MonCat)The yoneda embedding of Mon C into presheaves of monoids.
- Cited by
- 10 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.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xproof · cited by 329
- CategoryTheory.Mon.Hom.homproof · cited by 200
- MonCatstatement · cited by 127
- MonCat.ofHomproof · cited by 24
- CategoryTheory.yonedaMonObjproof · cited by 12
Cited by14
Results whose statement or proof uses this declaration.
- CategoryTheory.MonObj.comp_mulproof · cited by 10
- CategoryTheory.yonedaGrpproof · cited by 9
- CategoryTheory.MonObj.comp_oneproof · cited by 7
- CategoryTheory.shrinkYonedaMonproof · cited by 5
- CategoryTheory.Hom.mulEquivCongrRightproof · cited by 2
- CategoryTheory.yonedaGrp_map_appstatement · cited by 0
- CategoryTheory.yonedaMonFullyFaithfulstatement and proof · cited by 0
- CategoryTheory.yonedaMon_map_appstatement and proof · cited by 0
- CategoryTheory.shrinkYonedaMon_mapstatement · cited by 0
- CategoryTheory.yonedaMon_objstatement and proof · cited by 0
- CategoryTheory.shrinkYonedaMon_objstatement · cited by 0
- CategoryTheory.essImage_yonedaMonstatement and proof · cited by 0