Geometry
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Formal statement
Proof target
import FormalConjectures.ErdosProblems.«1082»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos1082.erdos_1082.parts.i" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ ∀ (A : Finset (EuclideanSpace ℝ (Fin 2))), EuclideanGeometry.NonTrilinear ↑A → A.card / 2 ≤ distinctDistances AOriginal conjecture source: FormalConjectures/ErdosProblems/1082.lean
References
Something wrong with this formalization?
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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