Theorems · Definition · category theory
PresheafOfModules.sectionsMap
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{R : CategoryTheory.Functor Cᵒᵖ RingCat} → {M N : PresheafOfModules R} → (M ⟶ N) → M.sections → N.sectionsThe map M.sections → N.sections induced by a morphisms M ⟶ N of presheaves of modules.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 43 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.
Cites11
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.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- RingCatstatement and proof · cited by 473
- PresheafOfModulesstatement and proof · cited by 247
- PresheafOfModules.Hom.appproof · cited by 88
- PresheafOfModules.sectionsstatement and proof · cited by 7
- PresheafOfModules.sectionsMkproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- SheafOfModules.sectionsMapproof · cited by 12
- PresheafOfModules.sectionsMap_coestatement and proof · cited by 1
- PresheafOfModules.sectionsMap_compstatement · cited by 0
- PresheafOfModules.sectionsMap_idstatement · cited by 0