Theorems · Definition · category theory
PresheafOfModules.forgetToPresheafModuleCatObjObj
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{R : CategoryTheory.Functor Cᵒᵖ RingCat} →
(X : Cᵒᵖ) → CategoryTheory.Limits.IsInitial X → PresheafOfModules R → Cᵒᵖ → ModuleCat ↑(R.obj X)Auxiliary definition for forgetToPresheafModuleCatObj.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 33 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.
Cites14
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- ModuleCatstatement · cited by 1,429
- RingCatstatement and proof · cited by 473
- RingCat.carrierstatement · cited by 279
- PresheafOfModulesstatement and proof · cited by 247
- PresheafOfModules.objproof · cited by 186
- CategoryTheory.Limits.IsInitialstatement and proof · cited by 158
- ModuleCat.restrictScalarsproof · cited by 148
Cited by6
Results whose statement or proof uses this declaration.
- PresheafOfModules.forgetToPresheafModuleCatObjproof · cited by 4
- PresheafOfModules.forgetToPresheafModuleCatObjMapstatement and proof · cited by 2
- PresheafOfModules.forgetToPresheafModuleCatObjObj_coestatement · cited by 0
- PresheafOfModules.forgetToPresheafModuleCatObj_mapstatement · cited by 0
- PresheafOfModules.forgetToPresheafModuleCatObj_objstatement · cited by 0
- PresheafOfModules.forgetToPresheafModuleCatObjMap_applystatement · cited by 0