Theorems · Theorem · field theory
IntermediateField.normalClosure_of_normal
∀ {F : Type u_1} {L : Type u_3} [inst : Field F] [inst_1 : Field L] [inst_2 : Algebra F L] (K : IntermediateField F L)
[Normal F ↥K], IntermediateField.normalClosure F (↥K) L = K- Defined in
- Mathlib.FieldTheory.Normal.Closure
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- AlgHomproof · cited by 3,236
- iSupproof · cited by 2,415
- IntermediateFieldstatement and proof · cited by 988
- Normalstatement and proof · cited by 92
- IntermediateField.normalClosurestatement · cited by 38
- iSup_constproof · cited by 13
- AlgHom.fieldRange_of_normalproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.normal_iff_normalClosure_eqproof · cited by 1
- IntermediateField.normalClosure_le_iff_of_normalproof · cited by 0