Theorems · Theorem · combinatorics
Prefunctor.pathStar_bijective
∀ {U : Type u_1} [inst : Quiver U] {V : Type u_2} [inst_1 : Quiver V] (φ : U ⥤q V),
(∀ (u : U), Function.Bijective (φ.star u)) → ∀ (u : U), Function.Bijective (φ.pathStar u)- Defined in
- Mathlib.Combinatorics.Quiver.Covering
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Prefunctor.objstatement · cited by 1,241
- Function.Bijectivestatement and proof · cited by 863
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Quiver.Starstatement · cited by 22
- Prefunctor.starstatement and proof · cited by 18
- Prefunctor.pathStarstatement · cited by 5
- Quiver.PathStarstatement · cited by 5
- Prefunctor.pathStar_injectiveproof · cited by 1
- Prefunctor.pathStar_surjectiveproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Prefunctor.IsCovering.pathStar_bijectiveproof · cited by 0