lean_workbook_plus_8351

Proved

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

The inequality is equivalent to $(x\beta-y\alpha)^2\geq0$ which is always true for all real $x,y,\alpha$ , and $\beta$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_8351 (x y α β : ℝ) : (x * β - y * α) ^ 2 ≥ 0   :=  by sorry

Source