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Theorems · Definition · combinatorics

Quiver.SchreierGraph.labelling

(V : Type u_1) →
  {M : Type u_2} → [inst : SMul M V] → {S : Type u_3} → (ι : S → M) → Quiver.SchreierGraph V ι ⥤q Quiver.SingleObj S

The labelling of arrows in a Schreier graph by elements of S. This is encoded as a prefunctor to SingleObj S.

Defined in
Mathlib.Combinatorics.Quiver.Schreier
Cited by
6 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
SMul
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.SchreierGraph.labellingCostarEquiv · cited by 4SchreierGraph.labellingCo…Quiver.SchreierGraph.labellingStarEquiv · cited by 4SchreierGraph.labellingSt…Quiver.SchreierGraph.labelling_map · cited by 1SchreierGraph.labelling_m…Quiver.SchreierGraph.labellingCostarEquiv_apply · cited by 0SchreierGraph.labellingCo…Quiver.SchreierGraph.labellingStarEquiv_apply · cited by 0SchreierGraph.labellingSt…Quiver.SchreierGraph.labelling_isCovering · cited by 0SchreierGraph.labelling_i…Quiver.SchreierGraph.labelling_obj · cited by 0SchreierGraph.labelling_o…Quiver.SchreierGraph.map_smul_of_comp_labelling_eq · cited by 0SchreierGraph.map_smul_of…Quiver.Hom · cited by 32603Quiver.HomPrefunctor · cited by 116PrefunctorQuiver.SingleObj · cited by 26Quiver.SingleObjQuiver.SchreierGraph · cited by 17Quiver.SchreierGraphQuiver.SingleObj.star · cited by 17SingleObj.starSchreierGraph.labellingCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.