Theorems · Definition · field theory

Subfield.toIntermediateField

{K : Type u_1} →
  {L : Type u_2} →
    [inst : Field K] →
      [inst_1 : Field L] →
        [inst_2 : Algebra K L] → (S : Subfield L) → (∀ (x : K), (algebraMap K L) x ∈ S) → IntermediateField K L

Turn a subfield of L containing the image of K into an intermediate field.

Defined in

Mathlib.FieldTheory.IntermediateField.Basic

Cited by

5 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebra