lean_workbook_plus_35917

Proved

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

Prove that $2h(x) = f(x) + g(x) - |f(x) - g(x)|$ is continuous and has a primitive.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_35917 (f g : ℝ → ℝ) (hf : Continuous f) (hg : Continuous g) : Continuous (fun x => 2 * (f x + g x - |f x - g x|))   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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