lean_workbook_plus_29624

Proved

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

Let $a,b,c\geq \frac{4}{3}.$ Prove that $a+b+c\geq \frac{8}{5}\left( \frac{2}{a}-\frac{1}{b}+ \frac{1}{c}+1\right)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_29624 (a b c : ℝ) (ha : 4/3 ≤ a) (hb : 4/3 ≤ b) (hc : 4/3 ≤ c) : a + b + c ≥ (8/5) * (2/a - 1/b + 1/c + 1)   :=  by sorry

Source