lean_workbook_plus_57266

Proved

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

Given the functional equation $f(x+y) = 2y(f(x) + f(y))$ , find $f(2015)$ if $f(0) = 0$ and $f(16) = 24 - 8f(3)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_57266 (f : ℝ → ℝ) (hf : f 0 = 0) (hf1 : f 16 = 24 - 8 * f 3) (hf2 : ∀ x y, f (x + y) = 2 * y * (f x + f y)) : f 2015 = 1209   :=  by sorry

Source

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

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