Theorems · Theorem · combinatorics
Prefunctor.IsCovering.star_bijective
∀ {U : Type u_1} [inst : Quiver U] {V : Type u_2} [inst_1 : Quiver V] {φ : U ⥤q V},
φ.IsCovering → ∀ (u : U), Function.Bijective (φ.star u)- Defined in
- Mathlib.Combinatorics.Quiver.Covering
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 863
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Quiver.Starstatement · cited by 22
- Prefunctor.starstatement · cited by 18
- Prefunctor.IsCoveringstatement and proof · cited by 11
Cited by6
Results whose statement or proof uses this declaration.
- Prefunctor.IsCovering.symmetrifyproof · cited by 0
- Prefunctor.IsCovering.compproof · cited by 0
- Prefunctor.IsCovering.map_injectiveproof · cited by 0
- Prefunctor.IsCovering.of_comp_leftproof · cited by 0
- Prefunctor.IsCovering.of_comp_rightproof · cited by 0
- Prefunctor.IsCovering.pathStar_bijectiveproof · cited by 0