lean_workbook_plus_24455

Proved

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

Prove that if $a$ and $b$ are real numbers such that $a+b=2$ and $a^4+b^4=16$ , then $ab=0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_24455 {a b : ℝ} (h₁ : a + b = 2) (h₂ : a ^ 4 + b ^ 4 = 16) : a * b = 0   :=  by sorry

Source