lean_workbook_plus_38355

Proved

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

Let $a,b,c \geq 0$ ,prove that: $2c^5+a^3(b+c)^2 \geq 2ac(c^3+abc+a^2b).$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_38355 (a b c : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hc : 0 ≤ c) : 2 * c ^ 5 + a ^ 3 * (b + c) ^ 2 ≥ 2 * a * c * (c ^ 3 + a * b * c + a ^ 2 * b)   :=  by sorry

Source

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

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