Theorems · Definition · field theory
FiniteGaloisIntermediateField.toIntermediateField
{k : Type u_1} →
{K : Type u_2} →
[inst : Field k] →
[inst_1 : Field K] → [inst_2 : Algebra k K] → FiniteGaloisIntermediateField k K → IntermediateField k K- Defined in
- Mathlib.FieldTheory.Galois.GaloisClosure
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 988
- FiniteGaloisIntermediateFieldstatement and proof · cited by 32
Cited by29
Results whose statement or proof uses this declaration.
- InfiniteGalois.projstatement · cited by 6
- InfiniteGalois.fixedField_fixingSubgroupproof · cited by 3
- FiniteGaloisIntermediateField.adjoin_simple_le_iffstatement and proof · cited by 3
- finGaloisGroupMapproof · cited by 2
- InfiniteGalois.normal_iff_isGaloisproof · cited by 2
- InfiniteGalois.toAlgEquivAux_eq_proj_of_memstatement and proof · cited by 2
- FiniteGaloisIntermediateField.finGaloisGroupproof · cited by 2
- InfiniteGalois.algEquivToLimitproof · cited by 1
- InfiniteGalois.finGaloisGroupFunctor_map_proj_eq_projstatement · cited by 1
- InfiniteGalois.isOpen_iff_finiteproof · cited by 1
- InfiniteGalois.isOpen_mulEquivToLimit_image_fixingSubgroupstatement and proof · cited by 1
- InfiniteGalois.proj_adjoin_singleton_valstatement and proof · cited by 1