lean_workbook_plus_14370

Proved

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

For $a, b, c >0$ , prove that \n\n

(a^2+1)(b^2+1)(c^2+1)\geq (a+b)(b+c)(c+a)

\n\n By C-S \n\n

(a^2+1)(1+b^2)\geq(a+b)^2,...

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14370 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (a^2+1)*(b^2+1)*(c^2+1) ≥ (a+b)*(b+c)*(c+a)   :=  by sorry

Source