lean_workbook_plus_40176

Proved

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

For positive real numbers $a,b,c$ , prove that \n $(a^2+b^2)^2 \ge (a+b+c)(a+b-c)(b+c-a)(c+a-b).$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_40176 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (a^2 + b^2)^2 ≥ (a + b + c) * (a + b - c) * (b + c - a) * (c + a - b)   :=  by sorry

Source

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

View graph