Theorems · Theorem · field theory
IntermediateField.restrictRestrictAlgEquivMapHom_apply
∀ {F : Type u_1} {E : Type u_2} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (K L : IntermediateField F E)
[inst_3 : Normal F ↥K] (φ : Gal(E/↥L)) (x : ↥K),
↑(((IntermediateField.restrictRestrictAlgEquivMapHom F (↥K) (↥L) E) φ) x) = φ ↑x- Defined in
- Mathlib.FieldTheory.Galois.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 153 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.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- MonoidHomstatement · cited by 3,629
- AlgEquivstatement and proof · cited by 1,681
- IntermediateFieldstatement and proof · cited by 988
- Normalstatement and proof · cited by 92
- AlgEquiv.restrictNormalHomproof · cited by 21
- MulSemiringAction.toAlgEquivproof · cited by 11
- AlgEquiv.restrictNormalHom_applyproof · cited by 5
- IntermediateField.restrictRestrictAlgEquivMapHomstatement · cited by 3
- MulSemiringAction.toAlgAut_applyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.restrictRestrictAlgEquivMapHom_injectiveproof · cited by 0
- IntermediateField.restrictRestrictAlgEquivMapHom_surjectiveproof · cited by 0