lean_workbook_plus_71593

Proved

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

Determine the correct piecewise function representation of the absolute value function $y=|x|$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_71593 (x : ℝ) : |x| = if x < 0 then -x else x   :=  by sorry

Source