lean_workbook_plus_18377

Disproved

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

Prove that $1/2\,{a}^{3}+1/2\,{b}^{3}+1/2\,{c}^{3}+9/2\,bca\leq {a}^{2} \left( b+c \right) +{b}^{2} \left( c+a \right) +{c}^{2} \left( a+b \right)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_18377 : ∀ a b c : ℝ, (1/2 * a^3 + 1/2 * b^3 + 1/2 * c^3 + 9/2 * b * c * a) ≤ (a^2 * (b + c) + b^2 * (c + a) + c^2 * (a + b))   :=  by sorry

Source

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

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