Mathlib Map

Theorems · Definition · combinatorics

Prefunctor.pathStar

{U : Type u_1} →
  [inst : Quiver U] →
    {V : Type u_2} → [inst_1 : Quiver V] → (φ : U ⥤q V) → (u : U) → Quiver.PathStar u → Quiver.PathStar (φ.obj u)

A prefunctor induces a map of path stars.

Defined in
Mathlib.Combinatorics.Quiver.Covering
Cited by
5 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
QuiverQuiver
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Prefunctor.pathStar_bijective · cited by 1Prefunctor.pathStar_bijec…Prefunctor.pathStar_injective · cited by 1Prefunctor.pathStar_injec…Prefunctor.pathStar_surjective · cited by 1Prefunctor.pathStar_surje…Prefunctor.pathStar_apply · cited by 0Prefunctor.pathStar_applyPrefunctor.IsCovering.pathStar_bijective · cited by 0IsCovering.pathStar_bijec…Prefunctor.obj · cited by 1241Prefunctor.objQuiver · cited by 405QuiverPrefunctor · cited by 116PrefunctorPrefunctor.mapPath · cited by 15Prefunctor.mapPathQuiver.PathStar · cited by 5Quiver.PathStarQuiver.PathStar.mk · cited by 1PathStar.mkPrefunctor.pathStarCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.