lean_workbook_plus_50289

Proved

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

Given $b=-a\frac{p^4+1}{p^3}$ and $c=\frac{a}{p^2}$ , prove $(a^2+c^2)^2=ab^2c$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_50289 (a b c : ℝ) (p : ℝ) (hp : p ≠ 0) (hbc : b = -a * (p^4 + 1) / p^3) (hcc : c = a / p^2) : (a^2 + c^2)^2 = a * b^2 * c   :=  by sorry

Source

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

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