Theorems · Theorem · field theory
Normal.of_algEquiv
∀ {F : Type u_1} [inst : Field F] {E : Type u_3} [inst_1 : Field E] [inst_2 : Algebra F E] {E' : Type u_4}
[inst_3 : Field E'] [inst_4 : Algebra F E'] [h : Normal F E] (f : E ≃ₐ[F] E'), Normal F E'- Defined in
- Mathlib.FieldTheory.Normal.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- RingHomproof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- AlgEquivstatement and proof · cited by 1,681
- Polynomial.mapproof · cited by 806
- RingHomClass.toRingHomproof · cited by 746
- AlgEquiv.symmproof · cited by 615
- minpolyproof · cited by 439
- IsIntegralproof · cited by 427
Cited by4
Results whose statement or proof uses this declaration.
- InfiniteGalois.normal_iff_isGaloisproof · cited by 2
- AlgEquiv.transfer_normalproof · cited by 1
- Normal.of_isSplittingFieldproof · cited by 0
- IsNormalClosure.normalproof · cited by 0