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erdos_1067.variant.infinite_edge_connectivity
Specification
Thomassen [Th17] constructed a counterexample to the version which asks for infinite edge-connectivity (that is, to disconnect the graph requires deleting infinitely many edges).
Lean 4 Statement
theorem erdos_1067.variant.infinite_edge_connectivity :
answer(False) ↔ ∀ (V : Type) (G : SimpleGraph V), G.chromaticCardinal = ℵ_ 1 →
∃ (H : G.Subgraph), H.coe.chromaticCardinal = ℵ_ 1 ∧ InfinitelyEdgeConnected H.coe
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