Theorems · Theorem · category theory
CategoryTheory.PreGaloisCategory.PointedGaloisObject.hom_ext_iff
∀ {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}
{f g : A ⟶ B}, f = g ↔ f.val = g.val- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · 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.Hom.valstatement and proof · cited by 11
- CategoryTheory.PreGaloisCategory.PointedGaloisObject.hom_extproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.