lean_workbook_plus_14540

Proved

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

Show that $|y|-|x| \leq |x - y|$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14540 (x y : ℝ) : |y| - |x| ≤ |x - y|   :=  by sorry

Source