Problem

erdos:178

True ↔ ∀ (a : ℕ → ℕ → ℕ), (∀ (i : ℕ), StrictMono (a i)) → ∃ f, (∀ (n : ℕ), f n = 1 ∨ f n = -1) ∧ ∀ (d : ℕ), ∃ C, ∀ (m i : ℕ), i < d → |∑ j ∈ Finset.range m, f (a i j)| ≤ ↑C

Open Current State

Declared status: proved (Lean)
Formalization: formalized
Subjects: discrepancy
OEIS: N/A
Sources: source:erdos-ai-contributions-wikisource:erdos-problemssource:formal-conjecturessource:jayyhk-erdos-leansource:plby-lean-proofs
Statement: www.erdosproblems.com

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