lean_workbook_plus_55042

Disproved

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

prove that there do not exist four distinct real numbers $a,b,c,d$ such that $a^3 + b^3=c^3 + d^3$ ,and $a+b=c+d$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_55042 (a b c d : ℝ) (h1 : a ≠ b ∧ a ≠ c ∧ a ≠ d ∧ b ≠ c ∧ b ≠ d ∧ c ≠ d) (h2 : a + b = c + d) (h3 : a^3 + b^3 = c^3 + d^3) : False   :=  by sorry

Source

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

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