Theorems · Definition · category theory
SheafOfModules.toSheaf
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{J : CategoryTheory.GrothendieckTopology C} →
(R : CategoryTheory.Sheaf J RingCat) →
CategoryTheory.Functor (SheafOfModules R) (CategoryTheory.Sheaf J AddCommGrpCat)The forget functor SheafOfModules R ⥤ Sheaf J AddCommGrpCat.
- Defined in
- Mathlib.Algebra.Category.ModuleCat.Sheaf
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Sheafstatement and proof · cited by 763
- RingCatstatement and proof · cited by 473
- AddCommGrpCatstatement · cited by 462
Cited by8
Results whose statement or proof uses this declaration.
- PresheafOfModules.toSheaf_map_sheafificationHomEquiv_symmstatement and proof · cited by 1
- PresheafOfModules.sheafificationCompToSheafstatement and proof · cited by 1
- PresheafOfModules.toPresheaf_map_sheafificationHomEquivstatement and proof · cited by 0
- PresheafOfModules.inverseImage_W_toPresheaf_eq_inverseImage_isomorphismsproof · cited by 0
- PresheafOfModules.toSheaf_map_sheafificationAdjunction_counit_appstatement and proof · cited by 0
- SheafOfModules.toSheafCompSheafToPresheafIsostatement and proof · cited by 0
- SheafOfModules.toSheaf_map_homstatement and proof · cited by 0
- SheafOfModules.toSheaf_obj_objstatement and proof · cited by 0