lean_workbook_plus_31031

Proved

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

If real numbers $a,b \in [0,1]$ , is $a+b-ab \in [0,1]$ ? explain.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_31031 (a b : ℝ) (ha : a ∈ Set.Icc 0 1) (hb : b ∈ Set.Icc 0 1) : a + b - a * b ∈ Set.Icc 0 1   :=  by sorry

Source