Theorems · Definition · category theory
DerivedCategory.Plus.singleFunctors
(C : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Abelian C] →
[inst_2 : HasDerivedCategory C] → CategoryTheory.SingleFunctors C (DerivedCategory.Plus C) ℤThe single functors C ⥤ DerivedCategory.Plus C for all n : ℤ along with
their compatibilities with shifts.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Iso.reflproof · cited by 727
- HasDerivedCategorystatement and proof · cited by 190
- DerivedCategorystatement · cited by 165
- DerivedCategory.singleFunctorproof · cited by 78
- CategoryTheory.SingleFunctorsstatement · cited by 65
- CategoryTheory.ObjectProperty.liftproof · cited by 33
- DerivedCategory.singleFunctorsproof · cited by 13
- DerivedCategory.TStructure.tstatement and proof · cited by 13
- CategoryTheory.Triangulated.TStructure.plusstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- DerivedCategory.Plus.singleFunctorproof · cited by 0