lean_workbook_plus_56515

Proved

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

Prove $a^2b+b^2c+c^2a \le \sqrt{(a^2+b^2+c^2)(a^2b^2+b^2c^2+c^2a^2) }$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_56515 :
  ∀ a b c : ℝ,
    a^2 * b + b^2 * c + c^2 * a ≤ Real.sqrt ((a^2 + b^2 + c^2) * (a^2 * b^2 + b^2 * c^2 + c^2 * a^2))   :=  by sorry

Source

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

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