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Erdős problem 965

Erdős asks in [Er75b] if for every 2-coloring of ℝ, there is an uncountable set ARA ⊆ ℝ such that all sums a+ba + b for a,bA,aba, b ∈ A, a ≠ b have the same colour.

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Retained declaration

FormalConjectures/ErdosProblems/965.lean

Formal Conjectures

FormalConjectures/ErdosProblems/965.leanErdos965.erdos_9651 lineExact file
False ↔ ∀ (f : ℝ → Fin 2), ∃ A, ¬A.Countable ∧ ∀ aA, ∀ bA, ∀ cA, ∀ dA, abcdf (a + b) = f (c + d)
SolvedStatement only, no proof

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