lean_workbook_plus_73432

Disproved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that for all integers $n = 0, 1, 2, ...$ , the following equality holds: $\lfloor \frac{1+\lfloor \frac {1+na^2}{a}\rfloor} {a} \rfloor=n$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_73432 : ∀ (n : ℕ), ∀ (a : ℝ), (a > 0 ∧ a < 1) → ⌊(1 + ⌊(1 + n * a ^ 2)/a⌋)/a⌋ = n   :=  by sorry

Source