All open problems
Source labels openChecked July 26, 2026
Mathoverflow 34145
Can a unit square be covered by rectangles of width 1 / (n + 1) and height 1 / (n + 2)?
Mathematical statement
Can a unit square be covered by rectangles of width 1 / (n + 1) and height 1 / (n + 2)?
Statement source: MathOverflow statement material
Statement terms: CC-BY-SA-4.0
Attributed source material. Reuse must follow the linked attribution and share-alike terms.
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
rectangles_cover_unit_square
Complete statement target, proof intentionally absentLean 4
theorem rectangles_cover_unit_square : answer(sorry) ↔ ∃ c : Configuration, ∀ p ∈ unitSquare, ∃ n, p ∈ (c.rect n).toSet := 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