Theorems · Definition · field theory

Polynomial.IsSplittingField.algEquiv

{K : Type v} →
  (L : Type w) →
    [inst : Field K] →
      [inst_1 : Field L] →
        [inst_2 : Algebra K L] → (f : Polynomial K) → [h : Polynomial.IsSplittingField K L f] → L ≃ₐ[K] f.SplittingField

Any splitting field is isomorphic to SplittingFieldAux f.

Defined in

Mathlib.FieldTheory.SplittingField.Construction

Cited by

1 results in Mathlib

Foundations

Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraPolynomial.IsSplittingField