Theorems · Theorem · category theory
CategoryTheory.PreGaloisCategory.stabilizer_normal_of_isGalois
∀ {C : Type u₁} [inst : CategoryTheory.Category.{u₂, u₁} C] [inst_1 : CategoryTheory.GaloisCategory C]
(F : CategoryTheory.Functor C FintypeCat) [CategoryTheory.PreGaloisCategory.FiberFunctor F] (X : C)
[CategoryTheory.PreGaloisCategory.IsGalois X] (x : (F.obj X).obj),
(MulAction.stabilizer (CategoryTheory.Aut F) x).Normal- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Finitestatement and proof · cited by 3,029
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- CategoryTheory.ObjectProperty.FullSubcategoryproof · cited by 726
- Subgroup.Normalstatement · cited by 334
- MulAction.stabilizerstatement and proof · cited by 254
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.PreGaloisCategory.exists_lift_of_quotient_openSubgroupproof · cited by 1