lean_workbook_plus_40370

Proved

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

Prove that: $12xy{\leq}4x(1-y)+9y(1-x)$ given $x,y{\ge}0$ and $x+y{\leq}1$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_40370 (x y : ℝ) (hx : 0 ≤ x) (hy : 0 ≤ y) (h : x + y ≤ 1) :
  12 * x * y ≤ 4 * x * (1 - y) + 9 * y * (1 - x)   :=  by sorry

Source

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

View graph