lean_workbook_plus_9533

Proved

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

Prove that if $a(a-b)+b(b-c)+c(c-a)=0$ then $a=b=c$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_9533 (a b c : ℝ) (h : a * (a - b) + b * (b - c) + c * (c - a) = 0) : a = b ∧ b = c ∧ c = a   :=  by sorry

Source