lean_workbook_plus_33542

Proved

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

Let $a$ , $b$ and $c$ be non-negative numbers such that $a^3+b^2+c\geq a^4+b^3+c^3$ . Prove that: \n

a^3+b^3+2c^3\leq4

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_33542 (a b c : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hc : 0 ≤ c) (hab : a^3 + b^2 + c ≥ a^4 + b^3 + c^3) : a^3 + b^3 + 2*c^3 ≤ 4   :=  by sorry

Source

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

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