lean_workbook_plus_16331

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

Prove that if $f(x) = e^{g(x)}$ where $g$ is an additive function, then $f(x+y) = f(x)f(y)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_16331 (f : ℝ → ℝ) (g : ℝ → ℝ) (h₁ : ∀ x, f x = exp (g x)) (h₂ : ∀ x y, g (x + y) = g x + g y) : ∀ x y, f (x + y) = f x * f y   :=  by sorry

Source

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

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