The Yoneda embedding for preadditive categories preserves limits #
The Yoneda embedding for preadditive categories preserves limits.
Implementation notes #
This is in a separate file to avoid having to import the development of the abelian structure on
ModuleCat in the main file about the preadditive Yoneda embedding.
instance CategoryTheory.preservesLimits_preadditiveYonedaObj {C : Type u} [Category.{v, u} C] [Preadditive C] (X : C) :
instance CategoryTheory.preservesLimits_preadditiveCoyonedaObj {C : Type u} [Category.{v, u} C] [Preadditive C] (X : C) :
instance CategoryTheory.preservesLimits_preadditiveYoneda_obj {C : Type u} [Category.{v, u} C] [Preadditive C] (X : C) :
instance CategoryTheory.preservesLimits_preadditiveCoyoneda_obj {C : Type u} [Category.{v, u} C] [Preadditive C] (X : Cᵒᵖ) :