lean_workbook_plus_14387

Proved

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

Given $u=x+y$ and $v=xy$ , the equation is equivalent to $u^{3}-2uv=8u^{2}-8v+8$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14387  (x y u v : ℝ)
  (h₀ : u = x + y)
  (h₁ : v = x * y)
  (h₂ : u^3 - 2 * u * v = 8 * u^2 - 8 * v + 8) :
  u^3 - 2 * u * v = 8 * u^2 - 8 * v + 8   :=  by sorry

Source

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

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