Theorems · Theorem · field theory
InfiniteGalois.fixedField_fixingSubgroup
∀ {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], IntermediateField.fixedField L.fixingSubgroup = L- Defined in
- Mathlib.FieldTheory.Galois.Infinite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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
- Top.topproof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- Bot.botproof · cited by 4,720
- Algebra.algebraMapproof · cited by 4,706
- le_antisymmproof · cited by 2,068
- Module.finrankproof · cited by 1,770
- AlgEquivproof · cited by 1,681
- le_rflproof · cited by 1,558
- IntermediateFieldstatement and proof · cited by 988
Cited by4
Results whose statement or proof uses this declaration.
- InfiniteGalois.normal_iff_isGaloisproof · cited by 2
- InfiniteGalois.IntermediateFieldEquivClosedSubgroupproof · cited by 1
- InfiniteGalois.isOpen_iff_finiteproof · cited by 1
- InfiniteGalois.fixedField_botproof · cited by 0