lean_workbook_plus_55769

Proved

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

Prove that for all positives x,y : $(2xy+x+y)(x+y)+1-xy\geq \frac{3(2xy+x+y)}{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_55769 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) : (2*x*y+x+y)*(x+y)+1-x*y ≥ 3*(2*x*y+x+y)/2   :=  by sorry

Source