lean_workbook_plus_63402

Disproved

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

AM-HM \n \n $\frac{a+b+c}{3}\geq\frac{3}{\frac{1}{a}+\frac{1}{b}+\frac{1}{c}}$ \n \n So, \n $9+ \left( a+b+c\right) \left( \frac{1}{a}+\frac{1}{b}+\frac{1}{c}\right) \geq 6\cdot 3$ ....(1)

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_63402 : ∀ a b c : ℝ, 9 + (a + b + c) * (1 / a + 1 / b + 1 / c) ≥ 6 * 3   :=  by sorry

Source