Prove2Me

lean_workbook_plus_72028

Proved

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

For a≥1,b≥1,c≥1a\ge 1,b\ge 1,c\ge 1 satisfied: ab+bc+ca=4ab+bc+ca=4 . Prove that 5a+4b+c≤2525a+4b+c\leq \frac{25}{2}

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_72028 (a b c : ℝ) (hab : a ≥ 1 ∧ b ≥ 1 ∧ c ≥ 1) (h : a * b + b * c + c * a = 4) : 5 * a + 4 * b + c ≤ 25 / 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

View graph