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erdos_949.variants.sidon

Specification

Let $S\sub \mathbb{R}$ be a Sidon set. Must there be a set $A\sub \mathbb{R}∖S$ of cardinality continuum such that $A + A \sub \mathbb{R}∖S$?

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Lean 4 Statement 
theorem erdos_949.variants.sidon : answer(True) ↔
    ∀ S : Set ℝ, IsSidon S → ∃ A ⊆ Sᶜ, #A = 𝔠 ∧ A + A ⊆ Sᶜ
ID: ErdosProblems__949__erdos_949.variants.sidon
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