Theorems · Inductive type · category theory
CategoryTheory.PreGaloisCategory.PointedGaloisObject
{C : Type u₁} →
[inst : CategoryTheory.Category.{u₂, u₁} C] →
[CategoryTheory.GaloisCategory C] → CategoryTheory.Functor C FintypeCat → Type (max u₁ u₂ w)A pointed Galois object is a Galois object with a fixed point of its fiber.
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- Finitestatement · cited by 3,029
- FintypeCatstatement · cited by 217
- CategoryTheory.GaloisCategorystatement · cited by 88
Cited by58
Results whose statement or proof uses this declaration.
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.objstatement and proof · cited by 29
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.ptstatement and proof · cited by 16
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.valstatement and proof · cited by 11
- CategoryTheory.PreGaloisCategory.AutGalois.πstatement and proof · cited by 9
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.Homstatement · cited by 7
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.inclstatement and proof · cited by 6
- CategoryTheory.PreGaloisCategory.autGaloisSystemstatement and proof · cited by 6
- CategoryTheory.PreGaloisCategory.endEquivAutGalois_πstatement and proof · cited by 3
- CategoryTheory.PreGaloisCategory.endEquivAutGaloisproof · cited by 3
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.coconestatement and proof · cited by 2
- CategoryTheory.PreGaloisCategory.endEquivSectionsFibersstatement · cited by 2
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.extstatement and proof · cited by 2