Theorems · Theorem · combinatorics
Prefunctor.pathStar_injective
∀ {U : Type u_1} [inst : Quiver U] {V : Type u_2} [inst_1 : Quiver V] (φ : U ⥤q V),
(∀ (u : U), Function.Injective (φ.star u)) → ∀ (u : U), Function.Injective (φ.pathStar u)- Defined in
- Mathlib.Combinatorics.Quiver.Covering
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Prefunctor.objstatement and proof · cited by 1,241
- Prefunctor.mapproof · cited by 952
- Quiverstatement and proof · cited by 405
- Quiver.Pathproof · cited by 166
- Prefunctorstatement and proof · cited by 116
- Quiver.Starstatement · cited by 22
- Prefunctor.starstatement and proof · cited by 18
- Prefunctor.mapPathproof · cited by 15
- Quiver.Path.casesOnproof · cited by 12
- Quiver.Path.castproof · cited by 12
- Quiver.Hom.castproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Prefunctor.pathStar_bijectiveproof · cited by 1