Theorems · Definition · category theory
CategoryTheory.DifferentialObject.shiftFunctor
{S : Type u_1} →
[inst : AddCommGroupWithOne S] →
(C : Type u) →
[inst_1 : CategoryTheory.Category.{v, u} C] →
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] →
[inst_3 : CategoryTheory.HasShift C S] →
S → CategoryTheory.Functor (CategoryTheory.DifferentialObject S C) (CategoryTheory.DifferentialObject S C)The shift functor on DifferentialObject S C.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.shiftFunctorproof · cited by 1,553
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.DifferentialObjectstatement and proof · cited by 61
- AddCommGroupWithOnestatement and proof · cited by 61
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.DifferentialObject.shiftZerostatement · cited by 2
- CategoryTheory.DifferentialObject.shiftFunctorAddstatement · cited by 2
- CategoryTheory.DifferentialObject.shiftFunctor_obj_objstatement and proof · cited by 0
- CategoryTheory.DifferentialObject.shiftZero_hom_app_fstatement · cited by 0
- CategoryTheory.DifferentialObject.shiftZero_inv_app_fstatement · cited by 0
- CategoryTheory.DifferentialObject.shiftFunctorAdd_hom_app_fstatement · cited by 0
- CategoryTheory.DifferentialObject.shiftFunctorAdd_inv_app_fstatement · cited by 0
- CategoryTheory.DifferentialObject.shiftFunctor_map_fstatement and proof · cited by 0
- CategoryTheory.DifferentialObject.shiftFunctor_obj_dstatement and proof · cited by 0