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Theorems · Theorem · combinatorics

SimpleGraph.ConnectedComponent.eq_of_common_vertex

∀ {V : Type u} {G : SimpleGraph V} {v : V} {c c' : G.ConnectedComponent}, v ∈ c.supp → v ∈ c'.supp → c = c'
Defined in
Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext
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SimpleGraph.not_isTutteViolator_of_isPerfectMatching · cited by 1SimpleGraph.not_isTutteVi…SimpleGraph.ncard_oddComponents_mono · cited by 1SimpleGraph.ncard_oddComp…Set · cited by 53352SetSimpleGraph · cited by 3072SimpleGraphSimpleGraph.ConnectedComponent · cited by 86SimpleGraph.ConnectedComp…SimpleGraph.ConnectedComponent.supp · cited by 42ConnectedComponent.suppSimpleGraph.connectedComponentMk · cited by 40SimpleGraph.connectedComp…ConnectedComponent.eq_of_comm…CITED BYCITES

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Cited by2

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