lean_workbook_plus_23586

Proved

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

Prove that $\frac{a}{a+c-b}+1\geq 2\sqrt{\frac{a}{a+c-b}}$ assuming $\frac{a}{a+c-b}\geq 0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_23586 (a b c : ℝ) (h : a / (a + c - b) ≥ 0) :
  a / (a + c - b) + 1 ≥ 2 * Real.sqrt (a / (a + c - b))   :=  by sorry

Source