lean_workbook_plus_48277

Proved

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

Prove that if $a^2+b^2+c^2=ab+bc+ca$ , then $a=b=c$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_48277 (a b c : ℝ) (h : a^2 + b^2 + c^2 = a * b + b * c + c * a) : a = b ∧ b = c ∧ c = a   :=  by sorry

Source