Mathlib Map

Theorems · Theorem · field theory

AlgEquiv.restrictNormal_apply

∀ {F : Type u_1} [inst : Field F] {K₁ : Type u_3} [inst_1 : Field K₁] [inst_2 : Algebra F K₁]
  (L : IntermediateField F K₁) [inst_3 : Normal F ↥L] (σ : Gal(K₁/F)) (x : ↥L), ↑((σ.restrictNormal ↥L) x) = σ ↑x
Defined in
Mathlib.FieldTheory.Normal.Defs
Cited by
1 results in Mathlib
Foundations
Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebraNormal
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgEquiv.restrictNormal_eq_one_iff · cited by 0AlgEquiv.restrictNormal_e…DFunLike.coe · cited by 62936DFunLike.coeAlgebra · cited by 11388AlgebraField · cited by 7404FieldAlgEquiv · cited by 1681AlgEquivIntermediateField · cited by 988IntermediateFieldNormal · cited by 92NormalAlgEquiv.restrictNormal_commutes · cited by 13AlgEquiv.restrictNormal_c…AlgEquiv.restrictNormal · cited by 12AlgEquiv.restrictNormalAlgEquiv.restrictNormal_applyCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.