Theorems · Theorem · field theory

IsGaloisGroup.intermediateFieldEquivSubgroup_symm_apply_toDual

∀ (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] [hGKL : IsGaloisGroup G K L] [inst_5 : Finite G]
  {H : Subgroup G},
  (IsGaloisGroup.intermediateFieldEquivSubgroup G K L).symm (OrderDual.toDual H) = FixedPoints.intermediateField ↥H

Defined in

Mathlib.FieldTheory.Galois.IsGaloisGroup

Cited by

1 results in Mathlib

Foundations

Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupFieldFieldAlgebraMulSemiringActionIsGaloisGroupFinite