Theorems · Definition · category theory
Prefunctor.id
(V : Type u_1) → [inst : Quiver V] → V ⥤q V
The identity morphism between quivers.
- Defined in
- Mathlib.Combinatorics.Quiver.Prefunctor
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Quiverstatement and proof · cited by 405
- Prefunctorstatement · cited by 116
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.ReflPrefunctor.idproof · cited by 7
- CategoryTheory.PrelaxFunctorStruct.idproof · cited by 3
- CategoryTheory.Cat.freeMapIdIsostatement and proof · cited by 3
- Prefunctor.id_compstatement · cited by 0
- Prefunctor.id_mapstatement and proof · cited by 0
- Prefunctor.id_objstatement and proof · cited by 0
- CategoryTheory.Quiv.id_eq_idstatement · cited by 0
- CategoryTheory.PrelaxFunctorStruct.id_toPrefunctorstatement · cited by 0
- Prefunctor.mapPath_idstatement · cited by 0
- CategoryTheory.Quiv.pathsOf_pathComposition_toPrefunctorstatement · cited by 0
- CategoryTheory.Cat.freeMapIdIso_hom_appstatement · cited by 0
- CategoryTheory.Cat.freeMapIdIso_inv_appstatement · cited by 0