lean_workbook_plus_7890

Proved

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

Prove that $(x-y)^2 + (y-z)^2 + (z-x)^2 \ge\ 0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_7890 (x y z: ℝ) : (x - y) ^ 2 + (y - z) ^ 2 + (z - x) ^ 2 ≥ 0   :=  by sorry

Source