All open problems
Source labels openChecked July 26, 2026
WikipediaCalculus of variations
Moving Sofa Problem
Gerver's sofa is the unique sofa that attains the sofa constant.
Mathematical statement
Gerver's sofa is the unique sofa that attains the sofa constant.
Statement source: Wikipedia 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
sofaConstant_eq_volume_iff_eq_gerversSofa
Complete statement target, proof intentionally absentLean 4
theorem sofaConstant_eq_volume_iff_eq_gerversSofa : ∀ s : Set ℝ², sofaConstant = volume s ↔ s = gerversSofa := 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