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Finite_Integral_Domain_is_Galois_Field

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

finite-integral-domain-is-galois-fieldgalois-fieldsintegral-domainsproofwiki

A finite integral domain is a Galois field.

Preamble
import Mathlib.Algebra.Ring.Basic
import Mathlib.RingTheory.Int.Basic
import Mathlib.Data.Fintype.Card
Formal statement
theorem Finite_Integral_Domain_is_Galois_Field {R : Type _} [CommRing R] [IsDomain R] [Fintype R] : IsField R := by sorry
Source
https://proofwiki.org/wiki/Finite_Integral_Domain_is_Galois_Field

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