Theorems · Theorem · field theory
IntermediateField.restrictRestrictAlgEquivMapHom_injective
∀ {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],
K ⊔ L = ⊤ → Function.Injective ⇑(IntermediateField.restrictRestrictAlgEquivMapHom F (↥K) (↥L) E)- Defined in
- Mathlib.FieldTheory.Galois.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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- AlgEquivstatement and proof · cited by 1,681
- IntermediateFieldstatement and proof · cited by 988
- Normalstatement and proof · cited by 92
- AlgEquiv.commutesproof · cited by 49
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