Theorems · Theorem · field theory

Normal.algHomEquivAut_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 : E →ₐ[F] K₁), (Normal.algHomEquivAut F K₁ E) σ = σ.restrictNormal' E

Defined in: Mathlib.FieldTheory.Normal.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra Field Algebra Algebra IsScalarTower Normal

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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
AlgHomstatement and proof · cited by 3,236
AlgEquivstatement · cited by 1,681
Normalstatement and proof · cited by 92
Normal.algHomEquivAutstatement and proof · cited by 5
AlgHom.restrictNormal'statement · cited by 5

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