Theorems · Definition · category theory
CategoryTheory.ShortComplex.opFunctor
(C : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
CategoryTheory.Functor (CategoryTheory.ShortComplex C)ᵒᵖ (CategoryTheory.ShortComplex Cᵒᵖ)The obvious functor (ShortComplex C)ᵒᵖ ⥤ ShortComplex Cᵒᵖ.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- Opposite.unopproof · cited by 2,231
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.ShortComplex.opproof · cited by 88
- CategoryTheory.ShortComplex.opMapproof · cited by 42
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.opEquivproof · cited by 4
- CategoryTheory.ShortComplex.leftHomologyFunctorOpNatIsostatement · cited by 2
- CategoryTheory.ShortComplex.rightHomologyFunctorOpNatIsostatement · cited by 2
- CategoryTheory.ShortComplex.homologyFunctorOpNatIsostatement · cited by 0
- CategoryTheory.ShortComplex.leftHomologyFunctorOpNatIso_hom_appstatement · cited by 0
- CategoryTheory.ShortComplex.leftHomologyFunctorOpNatIso_inv_appstatement · cited by 0
- CategoryTheory.ShortComplex.opEquiv_counitIsostatement · cited by 0
- CategoryTheory.ShortComplex.opEquiv_functorstatement · cited by 0
- CategoryTheory.ShortComplex.opFunctor_mapstatement and proof · cited by 0
- CategoryTheory.ShortComplex.opFunctor_objstatement and proof · cited by 0
- CategoryTheory.ShortComplex.rightHomologyFunctorOpNatIso_hom_appstatement · cited by 0
- CategoryTheory.ShortComplex.rightHomologyFunctorOpNatIso_inv_appstatement · cited by 0