lean_workbook_plus_53794

Proved

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

Let $a,b,c\ge 0$ and $a^2+2b^2+2c^2=a^3+2b^3+2c^3$ . Prove that \n

a+2b+2c\leq 5

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_53794 (a b c : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hc : 0 ≤ c) (hab : a^2 + 2 * b^2 + 2 * c^2 = a^3 + 2 * b^3 + 2 * c^3) : a + 2 * b + 2 * c ≤ 5   :=  by sorry

Source

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

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