lean_workbook_plus_19729

Proved

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

And so $x=\frac{v-u-4}8$ and $(2y+1)^2=\frac{u+v-6}2$ where $uv=12$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_19729 (x y : ℝ) (u v : ℝ) : (u * v = 12 ∧ x = (v - u - 4) / 8 ∧ (2 * y + 1) ^ 2 = (u + v - 6) / 2) ↔ (u * v = 12 ∧ (u + v - 6) / 2 = (2 * y + 1) ^ 2 ∧ x = (v - u - 4) / 8)   :=  by sorry

Source

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

View graph