lean_workbook_plus_47740

Proved

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

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

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_47740 {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

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