lean_workbook_plus_68985

Proved

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

For $a;b;c;d \geq 0$ and satisfying $a^{2}+b^{2}+(a-b)^{2}=c^{2}+d^{2}+(c-d)^{2}$ \nProve that: $a^{4}+b^{4}+(a-b)^{4}=c^{4}+d^{4}+(c-d)^{4}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_68985 (a b c d : ℝ) (hab : a ≥ 0 ∧ b ≥ 0 ∧ c ≥ 0 ∧ d ≥ 0)(habc : a^2 + b^2 + (a - b)^2 = c^2 + d^2 + (c - d)^2) : a^4 + b^4 + (a - b)^4 = c^4 + d^4 + (c - d)^4   :=  by sorry

Source

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

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