lean_workbook_plus_40536

Proved

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

Let $a, b \ge 0.$ Prove that \n

\left ( a^2+b+\frac{3}{4} \right )\left ( b^2+a+\frac{3}{4} \right )\geq \left ( 2a+\frac{1}{2} \right )\left ( 2b+\frac{1}{2} \right ).

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_40536 (a b : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) : (a^2 + b + 3 / 4) * (b^2 + a + 3 / 4) ≥ (2 * a + 1 / 2) * (2 * b + 1 / 2)   :=  by sorry

Source

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

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