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erdos_868.variants.Hartter_Nathanson

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Härtter and Nathanson proved that there exist additive bases which do not contain any minimal additive bases.

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Lean 4 Statement 
theorem erdos_868.variants.Hartter_Nathanson (o : ℕ) (ho : 1 < o) : ∃ (A : Set ℕ),
    A.IsAsymptoticAddBasisOfOrder o ∧ ∀ B ⊆ A, B.IsAsymptoticAddBasisOfOrder o →
    ∃ b ∈ B, (B \ {b}).IsAsymptoticAddBasisOfOrder o
ID: ErdosProblems__868__erdos_868.variants.Hartter_Nathanson
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