Theorems · Theorem · combinatorics
Prefunctor.isCovering_of_bijective_costar
∀ {U : Type u_1} [inst : Quiver U] {V : Type u_2} [inst_1 : Quiver V] (φ : U ⥤q V)
[inst_2 : Quiver.HasInvolutiveReverse U] [inst_3 : Quiver.HasInvolutiveReverse V] [φ.MapReverse],
(∀ (u : U), Function.Bijective (φ.costar u)) → φ.IsCovering- Defined in
- Mathlib.Combinatorics.Quiver.Covering
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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.Costarstatement · cited by 19
- Quiver.HasInvolutiveReversestatement and proof · cited by 17
- Prefunctor.costarstatement and proof · cited by 14
- Prefunctor.IsCoveringstatement · cited by 11
- Prefunctor.MapReversestatement and proof · cited by 6
- Prefunctor.bijective_costar_iff_bijective_starproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.