Theorems · Definition · combinatorics
Quiver.SchreierGraph.labellingCostarEquiv
{V : Type u_1} →
{M : Type u_2} →
[inst : Group M] →
[inst_1 : MulAction M V] →
{S : Type u_3} →
(ι : S → M) → (x : Quiver.SchreierGraph V ι) → Quiver.Costar x ≃ Quiver.Costar (Quiver.SingleObj.star S)The costar map of the labelling prefunctor as an equivalence.
- Defined in
- Mathlib.Combinatorics.Quiver.Schreier
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 14 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.
- Quiver.Homproof · cited by 32,603
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- Quiver.SingleObjstatement and proof · cited by 26
- Quiver.Costarstatement and proof · cited by 19
- Quiver.SchreierGraphstatement and proof · cited by 17
- Quiver.SingleObj.starstatement and proof · cited by 17
- Prefunctor.costarproof · cited by 14
- Quiver.SchreierGraph.labellingproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Quiver.SchreierGraph.labellingCostarEquiv_symm_apply_snd_coestatement and proof · cited by 0
- Quiver.SchreierGraph.labelling_isCoveringproof · cited by 0
- Quiver.SchreierGraph.labellingCostarEquiv_applystatement and proof · cited by 0
- Quiver.SchreierGraph.labellingCostarEquiv_symm_apply_fststatement and proof · cited by 0