Theorems · Definition · combinatorics
Prefunctor.mapPath
{V : Type u₁} →
[inst : Quiver V] →
{W : Type u₂} → [inst_1 : Quiver W] → (F : V ⥤q W) → {a b : V} → Quiver.Path a b → Quiver.Path (F.obj a) (F.obj b)The image of a path under a prefunctor.
- Defined in
- Mathlib.Combinatorics.Quiver.Path
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Prefunctor.objstatement · cited by 1,241
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Prefunctorstatement and proof · cited by 116
- Quiver.Path.brecOnproof · cited by 10
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.Cat.freeMapproof · cited by 13
- Prefunctor.pathStarproof · cited by 5
- CategoryTheory.Quiv.liftproof · cited by 2
- Prefunctor.mapPath_compstatement · cited by 1
- Prefunctor.pathStar_injectiveproof · cited by 1
- Prefunctor.pathStar_surjectiveproof · cited by 1
- Prefunctor.mapPath_comp_applystatement and proof · cited by 0
- Prefunctor.mapPath_consstatement · cited by 0
- Prefunctor.mapPath_idstatement · cited by 0
- Prefunctor.mapPath_nilstatement · cited by 0
- Prefunctor.mapPath_toPathstatement · cited by 0
- CategoryTheory.Quiv.lift_mapstatement · cited by 0