Theorems · Theorem · field theory
normalClosure_def
∀ (F : Type u_1) (K : Type u_2) (L : Type u_3) [inst : Field F] [inst_1 : Field K] [inst_2 : Field L] [inst_3 : Algebra F K] [inst_4 : Algebra F L], IntermediateField.normalClosure F K L = ⨆ f, f.fieldRange
- Defined in
- Mathlib.FieldTheory.Normal.Closure
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AlgHomstatement · cited by 3,236
- iSupstatement · cited by 2,415
- IntermediateFieldstatement · cited by 988
- AlgHom.fieldRangestatement · cited by 57
- IntermediateField.normalClosurestatement · cited by 38
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.normalClosure_def'proof · cited by 3
- IntermediateField.normal_iff_forall_fieldRange_leproof · cited by 1