lean_workbook_plus_1423

Proved

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

Find the maximum possible value of $a + b + c ,$ if $a,b,c$ are positive real numbers such that $a^2 + b^2 + c^2 = a^3 + b^3 + c^3$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_1423 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) (ha2 : a^2 + b^2 + c^2 = a^3 + b^3 + c^3) : a + b + c ≤ 3   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph