lean_workbook_plus_35274

Proved

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

Let $a,b,c$ be reals such that $a+b+c=2$ . Prove that

|a|-|b|-|c|\leq 2

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_35274 (a b c : ℝ) (h : a + b + c = 2) :
  |a| - |b| - |c| ≤ 2   :=  by sorry

Source