Source labels openChecked July 26, 2026

Green's Open Problem 26

The analogous problem in $\mathbb{F}^n_p$ remains open. [Gr24]

Combinatorics AMS 5 AMS 11 AMS 15

Mathematical statement

The analogous problem in $\mathbb{F}^n_p$ remains open. [Gr24]

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_26.variants.open

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem green_26.variants.open :    answer(sorry) ↔ ∀ (p : ℕ) [Fact p.Prime],      (∃ C, ∀ n, ∀ A : Fin C → Set (𝔽 p n), (∀ i, IsCube (A i)) →      ∑ i, A i = univ) := 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

Pinned Formal Conjectures sourceformalization Green, Ben. "100 open problems." (2024).background