lean_workbook_plus_1110

Disproved

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

Prove that $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}\geq a^2+b^2+c^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_1110 : ∀ a b c : ℝ, (a / b + b / c + c / a) ≥ a ^ 2 + b ^ 2 + c ^ 2   :=  by sorry

Source