Mathlib Map

Theorems · Definition · field theory

IntermediateField.liftAlgEquiv

{K : Type u_1} →
  {L : Type u_2} →
    [inst : Field K] →
      [inst_1 : Field L] →
        [inst_2 : Algebra K L] →
          {E : IntermediateField K L} → (F : IntermediateField K ↥E) → ↥F ≃ₐ[K] ↥(IntermediateField.lift F)

The algEquiv between an intermediate field and its lift.

Defined in
Mathlib.FieldTheory.IntermediateField.Basic
Cited by
4 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

InfiniteGalois.normal_iff_isGalois · cited by 2InfiniteGalois.normal_iff…InfiniteGalois.restrictNormalHom_continuous · cited by 1InfiniteGalois.restrictNo…IntermediateField.finrank_eq_fixingSubgroup_index · cited by 1IntermediateField.finrank…IntermediateField.liftAlgEquiv_apply · cited by 0IntermediateField.liftAlg…Algebra · cited by 11388AlgebraField · cited by 7404FieldAlgEquiv · cited by 1681AlgEquivIntermediateField · cited by 988IntermediateFieldIntermediateField.lift · cited by 22IntermediateField.liftIntermediateField.liftAlgEquivCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.