lean_workbook_plus_57170

Proved

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

Prove that $x^{5}+y^{5}+z^{5}\geq x^{2}+y^{2}+z^{2}$ \nwhere x;y;z are real numbres greater than (-1) and satisfying $x^{3}+y^{3}+z^{3}\geq x^{2}+y^{2}+z^{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_57170 (x y z : ℝ) (hx : x > -1) (hy : y > -1) (hz : z > -1) (h : x^3 + y^3 + z^3 >= x^2 + y^2 + z^2) : x^5 + y^5 + z^5 >= x^2 + y^2 + z^2   :=  by sorry

Source

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

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