Theorems · Definition · category theory
CategoryTheory.DifferentialObject.shiftFunctorAdd
{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] →
(m n : S) →
CategoryTheory.DifferentialObject.shiftFunctor C (m + n) ≅
(CategoryTheory.DifferentialObject.shiftFunctor C m).comp
(CategoryTheory.DifferentialObject.shiftFunctor C n)The shift functor on DifferentialObject S C is additive.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.DifferentialObjectstatement and proof · cited by 61
- AddCommGroupWithOnestatement and proof · cited by 61
- CategoryTheory.DifferentialObject.objproof · cited by 50
- CategoryTheory.DifferentialObject.shiftFunctorstatement · cited by 7
- CategoryTheory.DifferentialObject.mkIsoproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.DifferentialObject.shiftFunctorAdd_hom_app_fstatement and proof · cited by 0
- CategoryTheory.DifferentialObject.shiftFunctorAdd_inv_app_fstatement and proof · cited by 0