lean_workbook_plus_27660

Proved

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

Your problem can be this: \n\n $\frac{ax+by}{a+b}\\ge \\frac{a+b}{\\frac{a}{x}+\\frac{b}{y}}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_27660 {a b x y : ℝ} (ha : 0 < a) (hb : 0 < b) (hx : 0 < x) (hy : 0 < y) :
  (a * x + b * y) / (a + b) ≥ (a + b) / (a / x + b / y)   :=  by sorry

Source

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

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