lean_workbook_plus_3423

Proved

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

For $a,b>0$ and $a^3+b^3=a-b$ . Prove that: $a^2+b^2<1$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_3423 (a b : ℝ) (hab : a > 0 ∧ b > 0) (h : a^3 + b^3 = a - b) : a^2 + b^2 < 1   :=  by sorry

Source