lean_workbook_plus_29043

Proved

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

Prove that $F(x)=x(2yz-y-z)+1-yz \ge \ 0$ for $x,y,z > 1$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_29043 (x y z : ℝ) (hx : 1 < x) (hy : 1 < y) (hz : 1 < z) : x * (2 * y * z - y - z) + 1 - y * z ≥ 0   :=  by sorry

Source