Theorems · Theorem · field theory
AlgEquiv.restrict_liftNormal
∀ {F : Type u_1} [inst : Field F] {K₁ : Type u_3} [inst_1 : Field K₁] [inst_2 : Algebra F K₁] (E : Type u_6)
[inst_3 : Field E] [inst_4 : Algebra F E] [inst_5 : Algebra K₁ E] [inst_6 : IsScalarTower F K₁ E] (χ : Gal(K₁/F))
[inst_7 : Normal F K₁] [inst_8 : Normal F E], (χ.liftNormal E).restrictNormal K₁ = χ- Defined in
- Mathlib.FieldTheory.Normal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerstatement and proof · cited by 3,896
- AlgEquivstatement and proof · cited by 1,681
- RingHom.injectiveproof · cited by 187
- Normalstatement and proof · cited by 92
- AlgEquiv.extproof · cited by 60
- AlgEquiv.restrictNormal_commutesproof · cited by 13
- AlgEquiv.restrictNormalstatement and proof · cited by 12
- AlgEquiv.liftNormalstatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- AlgEquiv.restrictNormalHom_surjectiveproof · cited by 6