Theorems · Theorem · combinatorics
SimpleGraph.induce_adj
∀ {V : Type u_1} {G : SimpleGraph V} {s : Set V} {u v : ↑s}, (SimpleGraph.induce s G).Adj u v ↔ G.Adj ↑u ↑v- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, 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 and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement · cited by 1,346
- SimpleGraph.inducestatement · cited by 80
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.induce_eq_topproof · cited by 1
- SimpleGraph.Walk.induce_consstatement · cited by 0