Theorems · Inductive type · combinatorics
Quiver.SchreierGraph
(V : Type u_1) → {M : Type u_2} → [SMul M V] → {S : Type u_3} → (S → M) → Type u_1A Schreier graph for a monoid M acting on V with generators ι : S → M.
Vertices are elements of V, and there is an edge from x to y for each s : S
such that ι s • x = y.
- Defined in
- Mathlib.Combinatorics.Quiver.Schreier
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by28
Results whose statement or proof uses this declaration.
- Quiver.SchreierGraph.labellingstatement and proof · cited by 6
- Quiver.SchreierGraph.labellingCostarEquivstatement and proof · cited by 4
- Quiver.SchreierGraph.labellingStarEquivstatement and proof · cited by 4
- Quiver.SchreierGraph.toVertexstatement and proof · cited by 4
- Quiver.SchreierGraph.equivstatement · cited by 2
- Quiver.SchreierGraph.extstatement and proof · cited by 1
- Quiver.SchreierGraph.labelling_mapstatement and proof · cited by 1
- Quiver.SchreierGraph.ofVertex.injstatement · cited by 1
- Quiver.SchreierGraph.ofVertex.noConfusionstatement · cited by 1
- Quiver.SchreierGraph.casesOnstatement and proof · cited by 0
- Quiver.SchreierGraph.ctorIdxstatement and proof · cited by 0
- Quiver.SchreierGraph.equiv_apply_toVertexstatement · cited by 0