lean_workbook_plus_52536

Proved

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

Square both sides of the inequality $a^2b^2c^2 \geq |(a^2 - b^2)(b^2 - c^2)(c^2 - a^2)|$ to obtain $a^4b^4c^4 \geq (a^2 - b^2)^2(b^2 - c^2)^2(c^2 - a^2)^2$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_52536 :  ∀ a b c : ℝ, a^2 * b^2 * c^2 ≥ |(a^2 - b^2) * (b^2 - c^2) * (c^2 - a^2)| → a^4 * b^4 * c^4 ≥ (a^2 - b^2)^2 * (b^2 - c^2)^2 * (c^2 - a^2)^2   :=  by sorry

Source

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

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