Theorems · Theorem · field theory
Normal.algHomEquivAut_symm_apply
∀ (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 E K₁] [inst_6 : IsScalarTower F E K₁] [inst_7 : Normal F E] (σ : Gal(E/F)), (Normal.algHomEquivAut F K₁ E).symm σ = (IsScalarTower.toAlgHom F E K₁).comp ↑σ
- Defined in
- Mathlib.FieldTheory.Normal.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Equivstatement · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- IsScalarTowerstatement and proof · cited by 3,896
- Equiv.symmstatement and proof · cited by 3,681
- AlgHomstatement · cited by 3,236
- AlgEquivstatement and proof · cited by 1,681
- AlgHom.compstatement · cited by 501
- AlgEquiv.toAlgHomstatement · cited by 273
- IsScalarTower.toAlgHomstatement · cited by 232
- Normalstatement and proof · cited by 92
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