Theorems · Theorem · field theory
AlgEquiv.restrictNormal_eq_one_iff
∀ {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)), σ.restrictNormal ↥L = 1 ↔ ∀ x ∈ L, σ x = x- Defined in
- Mathlib.FieldTheory.Normal.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- AlgEquivstatement and proof · cited by 1,681
- IntermediateFieldstatement and proof · cited by 988
- Normalstatement and proof · cited by 92
- AlgEquiv.restrictNormalstatement · cited by 12
- AlgEquiv.restrictNormal_applyproof · cited by 1
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