lean_workbook_plus_66911

Proved

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

Prove that for positive numbers $a$ , $b$ , and $c$ with $abc = 1$ , the following inequality holds:\n

ab^2 + ac^2 \geq 1

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_66911 (a b c : ℝ) (habc : a * b * c = 1) (ha : a > 0) (hb : b > 0) (hc : c > 0) : a * b^2 + a * c^2 ≥ 1   :=  by sorry

Source