Source labels openChecked July 26, 2026

Erdős Problem 100: Strong

Stronger conjecture: diameter $\geq n - 1$ for sufficiently large $n$ .

Convex geometry AMS 52

Mathematical statement

Stronger conjecture: diameter $\geq n - 1$ for sufficiently large $n$ .

Statement source: Erdős Problems statement material

Statement terms: Source-specific

Source-specific terms. Therefore does not assert reuse rights beyond attributed display.

Statement artifacts, not proofs

These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.

Pinned Lean formulation 1

erdos_100.variants.strong

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem erdos_100.variants.strong :    ∀ᶠ n in atTop, ∀ A : Finset ℝ²,      A.card = n →      DistancesSeparated A →      diam (A : Set ℝ²) ≥ n - 1 := by  sorry

Statement source: Formal Conjectures
Lean version: v4.27.0
Placeholder: Present; no proof artifact
Source evidence: Pinned source index
Fidelity review: Community formulation

References

Pinned Formal Conjectures sourceformalization erdosproblems.com/100background