lean_workbook_plus_72864

Disproved

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

Prove that: $\frac{a^3}{(a+b)^2}+\frac{b^3}{(b+c)^2}+\frac{c^3}{(c+a)^2}\geq \frac{a+b+c}{4}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72864 : ∀ a b c : ℝ, (a^3 / (a + b) ^ 2 + b^3 / (b + c) ^ 2 + c^3 / (c + a) ^ 2) ≥ (a + b + c) / 4   :=  by sorry

Source