lean_workbook_plus_23252

Proved

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

Note that: $\frac{1}{(1+x)^2}<\frac{1}{1+x}<1$ if $x>0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_23252 (x : ℝ) (hx : 0 < x) : 1 / (1 + x) ^ 2 < 1 / (1 + x) ∧ 1 / (1 + x) < 1   :=  by sorry

Source