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erdos_965.generalization
Specification
In fact, in both [Ko16] and [SWCol] a generalized example for $k$-sums is constructed.
Lean 4 Statement
theorem erdos_965.generalization : answer(False) ↔
∀ᵉ (k ≥ 2), ∀ f : ℝ → Fin 2, ∃ A : Set ℝ, ¬ A.Countable ∧ ∀ s t : Finset ℝ,
↑s ⊆ A → ↑t ⊆ A → s.card = k → t.card = k → f (s.sum id) = f (t.sum id)
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