lean_workbook_plus_37956

Proved

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

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

a+2b+c\leq 4

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_37956 (a b c : ℝ) (ha : a ≥ 0 ∧ b ≥ 0 ∧ c ≥ 0) (hab : a^2 + 2 * b^2 + c^2 = a^3 + 2 * b^3 + c^3) : a + 2 * b + c ≤ 4   :=  by sorry

Source

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

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