A real solution of a power equation

Proved

WorkbookRestored.plus_5384

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

There exists a real number $x$ such that $x^2=2^x$ . This node records existence, without classifying all solutions.

This restores the missing imports or namespaces of the original node, retaining its formal proposition. Source: Lean-Workbook row lean_workbook_plus_5384 (Apache-2.0).

Preamble

import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.Analysis.SpecialFunctions.Log.Base
open Real

Formal statement

theorem WorkbookRestored.plus_5384 : ∃ x : ℝ, x^2 = 2^x   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_5384; original Prove2Me node ae6bea99-aadf-4cc3-99e9-5370860ed1d8; Apache-2.0

View graph