Mathematical statement
Letand Does exist?
Formalization note: We formalize the limit of the inverse fraction V'(x)/V(x) to ensure the limit is finite (bounded between 0 and 1).
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_417.parts.i
Complete statement target, proof intentionally absentLean 4
theorem erdos_417.parts.i : answer(sorry) ↔ ∃ L : ℝ, Tendsto (fun x ↦ ((totient '' { m | 1 ≤ m ∧ (m : ℝ) ≤ x }).ncard : ℝ) / ({ k | k ∈ range totient ∧ (k : ℝ) ≤ x }.ncard : ℝ)) atTop (𝓝 L) := 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