Prove2Me

lean_workbook_plus_18068

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

Prove that all nonzero residues modulo a prime pp are invertible.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_18068 (p : ℕ) (hp : p.Prime) (a : ZMod p) (ha : a ≠ 0) : a * a⁻¹ = 1   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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