lean_workbook_plus_48673

Disproved

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

Prove that $\frac{a^2}{(b+1)(c+1)}+\frac{b^2}{(c+1)(a+1)}+\frac{c^2}{(a+1)(b+1)}+\frac{2abc}{(a+1)(b+1)(c+1)}\ge 1$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_48673 : ∀ a b c : ℝ, (a^2 / (b + 1) / (c + 1) + b^2 / (c + 1) / (a + 1) + c^2 / (a + 1) / (b + 1) + 2 * a * b * c / (a + 1) / (b + 1) / (c + 1)) ≥ 1   :=  by sorry

Source

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

View graph