toKaroubiEquivalence_functor_additive

English

The additive structure lifts to Karoubi: the functor toKaroubiEquivalence is additive when C is Preadditive and idempotent-complete.

Русский

Структура сложения переносится на Karoubi: функтор toKaroubiEquivalence аддитивен при Preadditive и IsIdempotentComplete C.

LaTeX

$$$[\text{Preadditive } C] \, [\text{IsIdempotentComplete } C] : (toKaroubiEquivalence C).functor.Additive$$$

Lean4

instance toKaroubiEquivalence_functor_additive [Preadditive C] [IsIdempotentComplete C] :
    (toKaroubiEquivalence C).functor.Additive :=
  (inferInstance : (toKaroubi C).Additive)

Похожие утверждения