Conjectures about Latin Squares
The smallest unresolved case of the MOLS existence problem: whether there are 11 mutually orthogonal latin squares of order 12.
Mathematical statement
The smallest unresolved case of the MOLS existence problem: whether there are 11 mutually
orthogonal latin squares of order 12.
Statement source: Papers 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
molsOrder12
theorem molsOrder12 : answer(sorry) ↔ HasCompleteMOLS 12 := 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