Theorems · Theorem · field theory
IntermediateField.restrictNormalHom_ker
∀ {K : Type u_3} {L : Type u_4} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (E : IntermediateField K L)
[inst_3 : Normal K ↥E], (AlgEquiv.restrictNormalHom ↥E).ker = E.fixingSubgroup- Defined in
- Mathlib.FieldTheory.Galois.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringproof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringproof · cited by 10,911
- Fieldstatement and proof · cited by 7,404
- Subgroupstatement · cited by 3,593
- AlgEquivstatement and proof · cited by 1,681
- IntermediateFieldstatement and proof · cited by 988
- MonoidHom.kerstatement · cited by 212
- Normalstatement and proof · cited by 92
- IntermediateField.fixingSubgroupstatement · cited by 41
- AlgEquiv.restrictNormalHomstatement and proof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- InfiniteGalois.normal_iff_isGaloisproof · cited by 2