lean_workbook_plus_35127

Proved

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

Prove that $\frac{1}{1+x^2}\geq\frac{2-x}{2}$ for all $x\geq0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_35127 (x : ℝ) (hx : 0 ≤ x) : 1 / (1 + x ^ 2) ≥ (2 - x) / 2   :=  by sorry

Source