Theorems · Definition · combinatorics
SimpleGraph.incidenceSet
{V : Type u} → SimpleGraph V → V → Set (Sym2 V)Set of edges incident to a given vertex, aka incidence set.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Basic
- Cited by
- 46 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- SimpleGraphstatement and proof · cited by 3,072
- Sym2statement and proof · cited by 737
- SimpleGraph.edgeSetproof · cited by 199
Cited by51
Results whose statement or proof uses this declaration.
- SimpleGraph.incMatrixproof · cited by 16
- SimpleGraph.incidenceFinsetproof · cited by 15
- SimpleGraph.deleteIncidenceSetproof · cited by 11
- SimpleGraph.otherVertexOfIncidentstatement and proof · cited by 5
- SimpleGraph.coe_incidenceFinsetstatement and proof · cited by 4
- SimpleGraph.card_incidenceFinset_eq_degreeproof · cited by 4
- SimpleGraph.incMatrix_applystatement and proof · cited by 3
- SimpleGraph.incidenceSetEquivNeighborSetstatement and proof · cited by 3
- SimpleGraph.card_incidenceSet_eq_degreestatement · cited by 3
- SimpleGraph.incMatrix_apply_mul_incMatrix_applystatement and proof · cited by 2
- SimpleGraph.incidenceSet_inter_incidenceSet_subsetstatement and proof · cited by 2
- SimpleGraph.incidenceSet_subsetstatement and proof · cited by 2