Prove2Me

lean_workbook_plus_42746

Proved

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

a(1−a)(3−2b)+b(1−b)(3−2a)≥0a(1-a)(3-2b)+b(1-b)(3-2a) \ge 0 true for 0≤a,b≤10\le a,b \le 1

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_42746 (a b : ℝ) (ha : 0 ≤ a ∧ a ≤ 1) (hb : 0 ≤ b ∧ b ≤ 1) : a * (1 - a) * (3 - 2 * b) + b * (1 - b) * (3 - 2 * a) ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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