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erdos_918.variants.erdos_hajnal
Specification
Lean 4 Statement
theorem erdos_918.variants.erdos_hajnal (k : ℕ) (hk : 0 < k) : ∃ (V : Type u) (G : SimpleGraph V),
#V = ℵ_ k ∧ G.chromaticCardinal = ℵ₁ ∧
∀ (W : Set V) (_ : #W < ℵ_ k), (G.induce W).chromaticCardinal ≤ ℵ₀
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