Theorems · Definition · category theory
CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.val
{C : Type u₁} →
[inst : CategoryTheory.Category.{u₂, u₁} C] →
[inst_1 : CategoryTheory.GaloisCategory C] →
{F : CategoryTheory.Functor C FintypeCat} →
{A B : CategoryTheory.PreGaloisCategory.PointedGaloisObject F} → A.Hom B → (A.obj ⟶ B.obj)The underlying homomorphism of C.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Finitestatement · cited by 3,029
- FintypeCatstatement and proof · cited by 217
- CategoryTheory.GaloisCategorystatement and proof · cited by 88
- CategoryTheory.PreGaloisCategory.PointedGaloisObjectstatement and proof · cited by 34
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.objstatement · cited by 29
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.Homstatement and proof · cited by 7
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.PreGaloisCategory.autGaloisSystemproof · cited by 6
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.extstatement and proof · cited by 2
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.comp_valstatement · cited by 1
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.hom_extstatement and proof · cited by 1
- CategoryTheory.PreGaloisCategory.autGaloisSystem_mapstatement · cited by 1
- CategoryTheory.PreGaloisCategory.autGaloisSystem_map_surjectiveproof · cited by 1
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.comp_val_assocstatement and proof · cited by 0
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.hom_ext_iffstatement and proof · cited by 0
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.id_valstatement · cited by 0
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl_mapstatement · cited by 0
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.compstatement · cited by 0
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.ext_iffstatement and proof · cited by 0