Prove2Me

lean_workbook_plus_1539

Proved

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

If a, b, c are positive numbers, prove that\n

∑cyc5a2+2ab+2ac2a2+(b+c)2≤92\sum_{cyc}{\frac{5a^2+2ab+2ac}{2a^2+(b+c)^2}}\leq\frac{9}{2}
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_1539 (a b c : ℝ) (ha : a > 0) (hb : b > 0) (hc : c > 0) : (5 * (a ^ 2 + b ^ 2 + c ^ 2) + 2 * (a * b + b * c + a * c)) / (2 * (a ^ 2 + b ^ 2 + c ^ 2) + (a + b + c) ^ 2) ≤ 9 / 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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