Theorems · Theorem · field theory

FiniteGaloisIntermediateField.adjoin_map

∀ {k : Type u_1} {K : Type u_2} [inst : Field k] [inst_1 : Field K] [inst_2 : Algebra k K] [inst_3 : IsGalois k K]
  (f : K →ₐ[k] K) (s : Set K) [inst_4 : Finite ↑s],
  FiniteGaloisIntermediateField.adjoin k (⇑f '' s) = FiniteGaloisIntermediateField.adjoin k s

Defined in

Mathlib.FieldTheory.Galois.GaloisClosure

Cited by

1 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraIsGaloisFinite