Theorems · Theorem · field theory

IsGaloisGroup.of_mulEquiv_algEquiv

∀ {G : Type u_1} {K : Type u_3} {L : Type u_4} [inst : Group G] [inst_1 : Field K] [inst_2 : Field L]
  [inst_3 : Algebra K L] [inst_4 : MulSemiringAction G L] [IsGalois K L] (e : G ≃* Gal(L/K)),
  (∀ (g : G) (x : L), (e g) x = g • x) → IsGaloisGroup G K L

Defined in

Mathlib.FieldTheory.Galois.IsGaloisGroup

Cited by

0 results in Mathlib

Foundations

Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupFieldFieldAlgebraMulSemiringActionIsGalois