lean_workbook_plus_59729

Proved

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

The radical sign is defined as the positive square root, ie $|x|=\sqrt{x^2}$ , for all real values of $x$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_59729 : ∀ x : ℝ, abs x = Real.sqrt (x ^ 2)   :=  by sorry

Source