Theorems · Theorem · combinatorics
SimpleGraph.Subgraph.neighborSet_subset
∀ {V : Type u} {G : SimpleGraph V} (G' : G.Subgraph) (v : V), G'.neighborSet v ⊆ G.neighborSet v- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Subgraphstatement and proof · cited by 326
- SimpleGraph.neighborSetstatement · cited by 257
- SimpleGraph.Subgraph.neighborSetstatement · cited by 46
- SimpleGraph.Subgraph.adj_subproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.Subgraph.neighborSet_eq_of_equivproof · cited by 1
- SimpleGraph.Walk.IsCycle.adj_toSubgraph_iff_of_isCyclesproof · cited by 0
- SimpleGraph.Subgraph.degree_leproof · cited by 0