Properties of objects on preadditive categories equipped with shift #
In this file, we show that if C is a preadditive category
equipped with a shift by an additive monoid A, and
P : ObjectProperty C is stable under the shift,
then the shift functors on the full subcategory associated
to P are additive if the shift functors on C are.
This instance is put in a separate file in order to reduce imports.
instance CategoryTheory.ObjectProperty.instAdditiveFullSubcategoryShiftFunctor {C : Type u_1} [Category.{v_1, u_1} C] (P : ObjectProperty C) {A : Type u_2} [AddMonoid A] [HasShift C A] [P.IsStableUnderShift A] [Preadditive C] (n : A) [(shiftFunctor C n).Additive] :