Prove2Me

lean_workbook_plus_54371

Proved

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

Applying AM-GM inequality, we have: \n 3(a2+b2+c2)2+3(a+b+c)4≥6(a2+b2+c2)(a+b+c)23(a^2+b^2+c^2)^2+3(a+b+c)^4\ge 6(a^2+b^2+c^2)(a+b+c)^2\n

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_54371 (a b c : ℝ) : 3 * (a ^ 2 + b ^ 2 + c ^ 2) ^ 2 + 3 * (a + b + c) ^ 4 ≥ 6 * (a ^ 2 + b ^ 2 + c ^ 2) * (a + b + c) ^ 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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