Theorems · Theorem · field theory

IsGaloisGroup.isGalois

∀ (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] [Finite G] [IsGaloisGroup G K L], IsGalois K L

If G is a finite Galois group for L/K, then L/K is a Galois extension.

Defined in

Mathlib.FieldTheory.Galois.IsGaloisGroup

Cited by

1 results in Mathlib

Foundations

Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupFieldFieldAlgebraMulSemiringActionFiniteIsGaloisGroup