Theorems · Theorem · field theory
IntermediateField.normalClosure_le_iff_of_normal
∀ {F : Type u_1} {L : Type u_3} [inst : Field F] [inst_1 : Field L] [inst_2 : Algebra F L] [Normal F L]
{K₁ K₂ : IntermediateField F L} [Normal F ↥K₂], IntermediateField.normalClosure F (↥K₁) L ≤ K₂ ↔ K₁ ≤ K₂- Defined in
- Mathlib.FieldTheory.Normal.Closure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
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- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- Normalstatement and proof · cited by 92
- IntermediateField.valproof · cited by 42
- IntermediateField.normalClosurestatement and proof · cited by 38
- IntermediateField.fieldRange_valproof · cited by 9
- normalClosure_le_iffproof · cited by 3
- IntermediateField.normalClosure_of_normalproof · cited by 2
- IntermediateField.normalClosure_monoproof · cited by 1
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