Green's Open ProblemsMeasure and integration
Ben Green's Open Problem 94
Let A ⊂ R be a set of positive measure. Does contain an affine copy of {1, 1/2, 1/4, . . . }?
Mathematical statement
Let A ⊂ R be a set of positive measure. Does contain an affine copy of {1, 1/2, 1/4, . . . }?
Statement source: Green's Open 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
green_94
theorem green_94 : answer(sorry) ↔ ∀ A : Set ℝ, MeasurableSet A ∧ volume A > 0 → ∃ a b : ℝ, a ≠ 0 ∧ ∀ n : ℕ, a * (1 / 2^n) + b ∈ A := 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