Theorems · Definition · category theory
PresheafOfModules.restrictScalarsObj
{C : Type u'} →
[inst : CategoryTheory.Category.{v', u'} C] →
{R R' : CategoryTheory.Functor Cᵒᵖ RingCat} → PresheafOfModules R' → (R ⟶ R') → PresheafOfModules RThe restriction of scalars of presheaves of modules, on objects.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 41 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.
Cites15
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- RingCatstatement and proof · cited by 473
- PresheafOfModulesstatement and proof · cited by 247
- ModuleCat.ofHomproof · cited by 200
- PresheafOfModules.objproof · cited by 186
Cited by5
Results whose statement or proof uses this declaration.
- PresheafOfModules.restrictScalarsproof · cited by 14
- PresheafOfModules.restrictScalars_objstatement · cited by 0
- PresheafOfModules.restrictScalarsObj_mapstatement and proof · cited by 0
- PresheafOfModules.restrictScalarsObj_objstatement and proof · cited by 0
- PresheafOfModules.restrictScalars_map_appstatement · cited by 0