Theorems · Theorem · combinatorics
SimpleGraph.ConnectedComponent.maximal_connected_induce_iff
∀ {V : Type u} {G : SimpleGraph V} (s : Set V),
Maximal (fun x => (SimpleGraph.induce x G).Connected) s ↔ ∃ C, C.supp = s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- le_antisymmproof · cited by 2,068
- Maximalstatement and proof · cited by 211
- SimpleGraph.ConnectedComponentstatement and proof · cited by 86
- SimpleGraph.inducestatement and proof · cited by 80
- SimpleGraph.Connectedstatement and proof · cited by 75
- SimpleGraph.ConnectedComponent.suppstatement and proof · cited by 42
- SimpleGraph.connectedComponentMkproof · cited by 40
- SimpleGraph.Connected.preconnectedproof · cited by 28
- SimpleGraph.Embedding.toHomproof · cited by 17
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