Theorems · Definition · category theory
PresheafOfModules.Submodule.toPresheafOfModules
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{R : CategoryTheory.Functor Cᵒᵖ RingCat} → {M : PresheafOfModules R} → M.Submodule → PresheafOfModules RThe presheaf of modules associated to a submodule.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 44 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.
Cites20
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.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · 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
- ModuleCat.carrierproof · cited by 997
- ModuleCat.ofproof · cited by 594
- RingCatstatement and proof · cited by 473
- RingCat.carrierproof · cited by 279
- PresheafOfModulesstatement and proof · cited by 247
Cited by9
Results whose statement or proof uses this declaration.
- PresheafOfModules.Submodule.homOfLEstatement · cited by 4
- PresheafOfModules.Submodule.ιstatement · cited by 3
- PresheafOfModules.Submodule.homOfLE_ιstatement · cited by 1
- PresheafOfModules.Submodule.toPresheafOfModules_map_applystatement and proof · cited by 0
- PresheafOfModules.Submodule.toPresheafOfModules_objstatement and proof · cited by 0
- PresheafOfModules.Submodule.ι_app_hom_applystatement and proof · cited by 0
- PresheafOfModules.Submodule.homOfLE_app_hom_apply_coestatement and proof · cited by 0
- PresheafOfModules.Submodule.homOfLE_ι_assocstatement · cited by 0
- PresheafOfModules.Submodule.homOfLE.congr_simpstatement · cited by 0