lean_workbook_plus_52733

Disproved

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

and $\frac{2+abc}{1+abc}+abc \le \frac{5}{2} \iff (1+2abc)(1-abc) \ge 0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_52733 : ∀ a b c : ℝ, (2 + a * b * c) / (1 + a * b * c) + a * b * c ≤ 5 / 2 ↔ (1 + 2 * a * b * c) * (1 - a * b * c) ≥ 0   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph