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erdos_212

Specification

Is there a dense subset of ℝ^2 such that all pairwise distances are rational?

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Lean 4 Statement 
theorem erdos_212 : answer(sorry) ↔
    ∃ u : Set ℂ, Dense u ∧ u.Pairwise fun c₁ c₂ => dist c₁ c₂ ∈ Set.range Rat.cast
ID: ErdosProblems__212__erdos_212
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