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Theorems · Definition · combinatorics

Graph.vertexSet

{α : Type u_3} → {β : Type u_4} → Graph α β → Set α

The vertex set.

Defined in
Mathlib.Combinatorics.Graph.Basic
Cited by
87 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
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Around this declaration

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

Graph.restrict · cited by 18Graph.restrictGraph.map · cited by 16Graph.mapGraph.IsLink.left_mem · cited by 14IsLink.left_memGraph.IsSubgraph.vertexSet_mono · cited by 12IsSubgraph.vertexSet_monoGraph.ext · cited by 10Graph.extGraph.Compatible.ext · cited by 9Compatible.extGraph.IsInducedSubgraph.isLink_of_mem_mem · cited by 8IsInducedSubgraph.isLink_…Graph.IsLink.right_mem · cited by 6IsLink.right_memGraph.IsSpanningSubgraph.vertexSet_eq · cited by 6IsSpanningSubgraph.vertex…Graph.deleteVerts · cited by 5Graph.deleteVertsGraph.copy · cited by 4Graph.copyGraph.vertexSet_banana · cited by 4Graph.vertexSet_bananaGraph.vertexSet_restrict · cited by 4Graph.vertexSet_restrictGraph.Compatible.le_iff · cited by 3Compatible.le_iffGraph.Inc.vertex_mem · cited by 3Inc.vertex_memSet · cited by 53352SetGraph · cited by 242GraphGraph.vertexSetCITED BYCITES

Cites2

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

  • Setstatement · cited by 53,352
  • Graphstatement and proof · cited by 242

Cited by101

Results whose statement or proof uses this declaration.