lean_workbook_plus_11286

Proved

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

Prove that $2(x-\frac{3}{4})^2+\frac{1}{x+1}\geq \frac{1}{8}$ for $x\in [0,\infty [$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11286 (x : ℝ) (hx: x ≥ 0) : 2 * (x - 3 / 4) ^ 2 + 1 / (x + 1) ≥ 1 / 8   :=  by sorry

Source