Theorems · Definition · combinatorics
SimpleGraph.edgeFinset
{V : Type u_1} → (G : SimpleGraph V) → [Fintype ↑G.edgeSet] → Finset (Sym2 V)The edgeSet of the graph as a Finset.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Finite
- Cited by
- 116 results in Mathlib
- Foundations
- Depth 60 from the axioms, rests on 757 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- Sym2statement · cited by 737
- Set.toFinsetproof · cited by 217
- SimpleGraph.edgeSetstatement and proof · cited by 199
Cited by120
Results whose statement or proof uses this declaration.
- SimpleGraph.extremalNumberproof · cited by 23
- SimpleGraph.coe_edgeFinsetstatement · cited by 10
- SimpleGraph.IsExtremalproof · cited by 9
- SimpleGraph.zarankiewiczproof · cited by 7
- SimpleGraph.mem_edgeFinsetstatement · cited by 6
- SimpleGraph.card_edgeFinset_le_extremalNumberstatement and proof · cited by 6
- SimpleGraph.Iso.card_edgeFinset_eqstatement · cited by 6
- SimpleGraph.Subgraph.IsMatching.even_cardproof · cited by 5
- SimpleGraph.extremalNumber_le_iffstatement and proof · cited by 4
- SimpleGraph.sum_degrees_eq_twice_card_edgesstatement · cited by 4
- SimpleGraph.DeleteFarproof · cited by 4
- SimpleGraph.edgeFinset_cardstatement · cited by 3