All open problems
Source labels openChecked July 26, 2026
Green's Open ProblemsCombinatorics
Green's Open Problem 36: Cks05
Variant using the exact simultaneous double product property from [CKS05, 4.1].
Mathematical statement
Variant using the exact simultaneous double product property from [CKS05, 4.1].
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_36.variants.cks05
Complete statement target, proof intentionally absentLean 4
theorem green_36.variants.cks05 : answer(sorry) ↔ ∀ ε > (0 : ℝ), ∃ᶠ n in atTop, ∃ (H : Type) (_ : AddCommGroup H) (_ : Finite H) (A B : Fin n → Finset H), (n : ℝ) ^ (2 - ε) ≤ Nat.card H ∧ Nat.card H ≤ (n : ℝ) ^ (2 + ε) ∧ (∀ i, (n : ℝ) ^ (2 - ε) ≤ (A i).card * (B i).card) ∧ SimultaneousDoubleProduct A B := 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