Prove2Me

lean_workbook_plus_24817

Proved

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

Let f be a function from the set of Natural numbers to real numbers. If f(n+9)=f(n)f(n+9)=f(n) and f(n+16)=f(n)f(n+16)= f(n) for every n then show that f is a constant function.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_24817 (f : ℕ → ℝ) (h9 : ∀ n, f (n + 9) = f n) (h16 : ∀ n, f (n + 16) = f n) : ∀ n, f n = f 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

View graph