lean_workbook_plus_74931

Proved

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

For positive real numbers a, b, c, prove that $(a^{2}+b^{2}+c^{2})^{2} \geq 3(a+b+c)(b+c-a)(a+c-b)(a+b-c)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_74931 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (a^2 + b^2 + c^2)^2 ≥ 3 * (a + b + c) * (b + c - a) * (a + c - b) * (a + b - c)   :=  by sorry

Source

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

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