Prove2Me

lean_workbook_plus_60474

Disproved

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

prove 4(ab+bc+ca)(a2b+ab2+b2c+bc2+c2a+ca2)≤(a+b+c)2(a+b)(b+c)(c+a) 4(ab + bc + ca)(a^2b + ab^2 + b^2c + bc^2 + c^2a + ca^2) \le (a + b + c)^2(a + b)(b + c)(c + a)

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_60474 : ∀ a b c : ℝ, 4 * (a * b + b * c + c * a) * (a ^ 2 * b + a * b ^ 2 + b ^ 2 * c + b * c ^ 2 + c ^ 2 * a + c * a ^ 2) ≤ (a + b + c) ^ 2 * (a + b) * (b + c) * (c + a)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

View graph