lean_workbook_plus_4940

Proved

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

Find the real numbers $x,\ y,\ z$ such that $x+y+z=xy+yz+zx=3.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_4940 (x y z : ℝ) (h₁ : x + y + z = 3) (h₂ : x*y + y*z + z*x = 3) : x = 1 ∧ y = 1 ∧ z = 1   :=  by sorry

Source