lean_workbook_plus_599

Proved

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

Prove that $|\overrightarrow{a}-\overrightarrow{b}|^2=|(\overrightarrow{a}-\overrightarrow{c})-(\overrightarrow{b}-\overrightarrow{c})|^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_599 (a b c : ℝ) : |a - b|^2 = |(a - c) - (b - c)|^2   :=  by sorry

Source