lean_workbook_plus_11360

Proved

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

For non-negative reals $a,$ $b$ and $c$ we obtain: $\sum_{cyc}\frac{1}{a+2}\leq\frac{3}{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11360 (a b c : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hc : 0 ≤ c) : 1 / (a + 2) + 1 / (b + 2) + 1 / (c + 2) ≤ 3 / 2   :=  by sorry

Source