Theorems · Theorem · field theory
AlgHom.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] (ϕ : K₁ →ₐ[F] K₁)
[inst_7 : Normal F K₁] [inst_8 : Normal F E], (ϕ.liftNormal E).restrictNormal K₁ = ϕ- Defined in
- Mathlib.FieldTheory.Normal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- AlgHomstatement and proof · cited by 3,236
- RingHom.injectiveproof · cited by 187
- AlgHom.extproof · cited by 170
- Normalstatement and proof · cited by 92
- AlgHom.restrictNormal_commutesproof · cited by 9
- AlgHom.restrictNormalstatement and proof · cited by 4
- AlgHom.liftNormalstatement and proof · cited by 3
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