lean_workbook_plus_14892

Proved

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

$\Longrightarrow (a^2+b^2+c^2+ac+ba+ac)^2\ge 4(a^2+b^2+c^2)(ac+ba+ac)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14892 (a b c : ℝ) : (a^2 + b^2 + c^2 + a * c + b * a + a * c)^2 ≥ 4 * (a^2 + b^2 + c^2) * (a * c + b * a + a * c)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph