lean_workbook_plus_55148

Proved

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

Prove $1-\epsilon +\dfrac{1}{1-\epsilon} \ge 1+\epsilon +\dfrac{1}{1+\epsilon}$ for $0<\epsilon < 1$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_55148 : ∀ ε : ℝ, 0 < ε ∧ ε < 1 → 1 - ε + (1 / (1 - ε)) ≥ 1 + ε + (1 / (1 + ε))   :=  by sorry

Source