Theorems · Theorem · field theory
InfiniteGalois.fixingSubgroup_isClosed
∀ {k : Type u_1} {K : Type u_2} [inst : Field k] [inst_1 : Field K] [inst_2 : Algebra k K] (L : IntermediateField k K)
[IsGalois k K], IsClosed ↑L.fixingSubgroup- Defined in
- Mathlib.FieldTheory.Galois.Infinite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- SetLike.coestatement and proof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- mul_oneproof · cited by 3,885
- Subgroupstatement · cited by 3,593
- Compl.complproof · cited by 2,925
- AlgEquivstatement and proof · cited by 1,681
- IsClosedstatement · cited by 1,639
- le_rflproof · cited by 1,558
- IntermediateFieldstatement and proof · cited by 988
- Iff.notproof · cited by 489
Cited by2
Results whose statement or proof uses this declaration.
- InfiniteGalois.IntermediateFieldEquivClosedSubgroupproof · cited by 1
- InfiniteGalois.GaloisInsertionIntermediateFieldClosedSubgroupstatement · cited by 0