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erdos_503.variants.upper_bound
Specification
The best upper bound known in general is due to Blokhius [Bl84] who showed that $$ |A| \leq \binom{n + 2}{2} $$ [Bl84] Blokhuis, A., Few-distance sets. (1984), iv+70.
Lean 4 Statement
theorem erdos_503.variants.upper_bound (n : ℕ) :
∀ m ∈ {(A.ncard) | (A : Set (ℝ^n)) (hA : A.IsIsosceles)}, m ≤ (n + 2).choose 2
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