lean_workbook_plus_50741

Proved

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

Prove that $f(x) = \frac{1}{2-x}$ is increasing in $(0,1)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_50741 : ∀ x y : ℝ, x ∈ Set.Ioo 0 1 ∧ y ∈ Set.Ioo 0 1 → x < y → (1 / (2 - x)) < (1 / (2 - y))   :=  by sorry

Source