Theorems · Theorem · combinatorics
SimpleGraph.ConnectedComponent.Represents.ncard_sdiff_of_notMem
∀ {V : Type u} {G : SimpleGraph V} {C : Set G.ConnectedComponent} {s : Set V} {c : G.ConnectedComponent},
SimpleGraph.ConnectedComponent.Represents s C → c ∉ C → (c.supp \ s).ncard = c.supp.ncard- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- SimpleGraphstatement and proof · cited by 3,072
- Set.ncardstatement and proof · cited by 344
- SimpleGraph.ConnectedComponentstatement and proof · cited by 86
- SimpleGraph.ConnectedComponent.suppstatement and proof · cited by 42
- SimpleGraph.ConnectedComponent.Representsstatement and proof · cited by 10
- Disjoint.sdiff_eq_rightproof · cited by 6
- SimpleGraph.ConnectedComponent.Represents.disjoint_supp_of_notMemproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.ConnectedComponent.even_ncard_supp_sdiff_repproof · cited by 1