Theorems · Definition · field theory
IntermediateField.normalClosureOperator
(F : Type u_1) →
(L : Type u_3) →
[inst : Field F] →
[inst_1 : Field L] → [inst_2 : Algebra F L] → [Normal F L] → ClosureOperator (IntermediateField F L)normalClosure as a ClosureOperator.
- Defined in
- Mathlib.FieldTheory.Normal.Closure
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- IntermediateFieldstatement and proof · cited by 988
- ClosureOperatorstatement · cited by 371
- Normalstatement and proof · cited by 92
- IntermediateField.normalClosureproof · cited by 38
- IntermediateField.le_normalClosureproof · cited by 8
- IntermediateField.normalClosure_monoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.normalClosureOperator_applystatement and proof · cited by 0
- IntermediateField.normalClosureOperator_isClosedstatement and proof · cited by 0