lean_workbook_plus_10148

Proved

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

If a,b,c $\in R^+$ prove that $2(a^8+b^8)\geq (a^3+b^3)(a^5+b^5)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10148 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : 2 * (a^8 + b^8) ≥ (a^3 + b^3) * (a^5 + b^5)   :=  by sorry

Source