Prove2Me

lean_workbook_plus_59293

Proved

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

Prove that x=x+y2,y=xy⇒x=yx=\frac{x+y}{2},y=\sqrt{xy}\Rightarrow x=y

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_59293 (x y : ℝ) (hx : x = (x + y) / 2) (hy : y = Real.sqrt (x * y)) : x = y   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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