All open problems
Source labels openChecked July 26, 2026
Beaver Math Olympiad (BMO): Set
BMO#2 formulation variant
Mathematical statement
BMO#2 formulation variant
Alternative statement of beaver_math_olympiad_problem_2_antihydra using set size comparison instead of a recurrent sequence b.
Statement source: Other 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
beaver_math_olympiad_problem_2_antihydra.variants.set
Complete statement target, proof intentionally absentLean 4
theorem beaver_math_olympiad_problem_2_antihydra.variants.set (a : ℕ → ℕ) (a_ini : a 0 = 8) (a_rec : ∀ n, a (n + 1) = (3 * a n) / 2) (n : ℕ) : ((Finset.Ico 0 n).filter fun x ↦ Odd (a x)).card ≤ 2 * ((Finset.Ico 0 n).filter fun x ↦ Even (a x)).card := 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