lean_workbook_plus_25475

Disproved

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

Given $xy=1$ , prove that $(3+2xy)(18-6xy+x^2y^2)\leq 64$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_25475 (x y : ℝ) (h : x * y = 1) :
  (3 + 2 * x * y) * (18 - 6 * x * y + x ^ 2 * y ^ 2) ≤ 64   :=  by sorry

Source