Theorems · Theorem · category theory
PresheafOfModules.toFreeYonedaCoproduct_fromFreeYonedaCoproduct
∀ {C : Type u} [inst : CategoryTheory.SmallCategory C] {R : CategoryTheory.Functor Cᵒᵖ RingCat}
(M : PresheafOfModules R), CategoryTheory.CategoryStruct.comp M.toFreeYonedaCoproduct M.fromFreeYonedaCoproduct = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.SmallCategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- RingHom.idstatement · cited by 18,349
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- LinearMapstatement · cited by 10,215
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Category.assocproof · cited by 6,433
- ModuleCatstatement · cited by 1,429
- ModuleCat.carrierstatement · cited by 997
Cited by3
Results whose statement or proof uses this declaration.
- PresheafOfModules.isColimitFreeYonedaCoproductsCokernelCoforkproof · cited by 1
- PresheafOfModules.toFreeYonedaCoproduct_fromFreeYonedaCoproduct_assocproof · cited by 0
- PresheafOfModules.freeYonedaCoproductsCokernelCoforkproof · cited by 0