lean_workbook_plus_34058

Proved

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

Prove that for all $x,y,z\ge 2$ , $3(x+y+z)\le xyz+10.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_34058 (x y z : ℝ) (hx : x ≥ 2) (hy : y ≥ 2) (hz : z ≥ 2) : 3 * (x + y + z) ≤ x*y*z + 10   :=  by sorry

Source