Theorems · Theorem · combinatorics
SimpleGraph.degree_toSubgraph
∀ {V : Type u} (G H : SimpleGraph V) (h : H ≤ G) {v : V} [inst : Fintype ↑((SimpleGraph.toSubgraph H h).neighborSet v)]
[inst_1 : Fintype ↑(H.neighborSet v)], (SimpleGraph.toSubgraph H h).degree v = H.degree v- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.neighborSetstatement and proof · cited by 257
- SimpleGraph.degreestatement and proof · cited by 112
- SimpleGraph.Subgraph.neighborSetstatement and proof · cited by 46
- SimpleGraph.Subgraph.degreestatement · cited by 14
- SimpleGraph.toSubgraphstatement and proof · cited by 10
- SimpleGraph.card_neighborSet_toSubgraphproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.