lean_workbook_plus_17089

Proved

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

Prove that $|ab|=|a||b|$ and $|b-a|=|a-b|$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17089 (a b : ℝ) : |a * b| = |a| * |b| ∧  |b - a| = |a - b|   :=  by sorry

Source