Theorems · Inductive type · category theory
CategoryTheory.SingleFunctors
(C : Type u_1) →
(D : Type u_2) →
[CategoryTheory.Category.{v_1, u_1} C] →
[inst : CategoryTheory.Category.{v_2, u_2} D] →
(A : Type u_5) →
[inst_1 : AddMonoid A] → [CategoryTheory.HasShift D A] → Type (max (max (max (max u_1 u_2) u_5) v_1) v_2)The type of families of functors A → C ⥤ D which are compatible with
the shift by A on the category D.
- Cited by
- 65 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- AddMonoidstatement · cited by 2,864
- CategoryTheory.HasShiftstatement · cited by 1,527
Cited by100
Results whose statement or proof uses this declaration.
- CategoryTheory.SingleFunctors.functorstatement and proof · cited by 64
- CategoryTheory.SingleFunctors.Hom.homstatement and proof · cited by 38
- CategoryTheory.SingleFunctors.shiftIsostatement and proof · cited by 26
- CategoryTheory.SingleFunctors.postcompstatement and proof · cited by 22
- DerivedCategory.singleFunctorsstatement · cited by 13
- CochainComplex.singleFunctorsstatement · cited by 11
- DerivedCategory.singleFunctorsPostcompQIsostatement · cited by 9
- CategoryTheory.SingleFunctors.Homstatement · cited by 9
- CategoryTheory.SingleFunctors.liftstatement and proof · cited by 5
- CategoryTheory.SingleFunctors.postcompIsoOfIsostatement and proof · cited by 4
- CategoryTheory.SingleFunctors.comp_homstatement and proof · cited by 3
- CategoryTheory.SingleFunctors.postcompFunctorstatement and proof · cited by 3