lean_workbook_plus_81180

Proved

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

Let $G$ be an abelian group of order $n$ . If $f:G\to \mathbb{C}$ is a function, then prove that for all $h\in G$ , $\sum_{g\in G}f(g)=\sum_{g\in G}f(hg)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_81180 (G : Type*) [Fintype G] [CommGroup G] (f : G → ℂ) (h : G) : ∑ g : G, f g = ∑ g : G, f (h * g)   :=  by sorry

Source

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

View graph