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Theorems · Definition · category theory

CategoryTheory.additiveFunctor

(C : Type u_1) →
  (D : Type u_2) →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        [CategoryTheory.Preadditive C] →
          [CategoryTheory.Preadditive D] → CategoryTheory.ObjectProperty (CategoryTheory.Functor C D)

The additivity of a functor, as a property of objects in C ⥤ D.

Defined in
Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
Cited by
15 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Preadditive
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.AdditiveFunctor · cited by 10CategoryTheory.AdditiveFu…CategoryTheory.AdditiveFunctor.forget · cited by 3AdditiveFunctor.forgetCategoryTheory.AdditiveFunctor.ofExact · cited by 2AdditiveFunctor.ofExactCategoryTheory.AdditiveFunctor.ofLeftExact · cited by 2AdditiveFunctor.ofLeftExa…CategoryTheory.AdditiveFunctor.ofRightExact · cited by 2AdditiveFunctor.ofRightEx…CategoryTheory.leftExactFunctor_le_additiveFunctor · cited by 1CategoryTheory.leftExactF…ringEquivEndForget₂ · cited by 0ringEquivEndForget₂CategoryTheory.exactFunctor_le_additiveFunctor · cited by 0CategoryTheory.exactFunct…CategoryTheory.AdditiveFunctor.forget_map · cited by 0AdditiveFunctor.forget_mapCategoryTheory.AdditiveFunctor.forget_obj · cited by 0AdditiveFunctor.forget_objCategoryTheory.AdditiveFunctor.forget_obj_of · cited by 0AdditiveFunctor.forget_ob…CategoryTheory.AdditiveFunctor.ofExact_map_hom · cited by 0AdditiveFunctor.ofExact_m…CategoryTheory.AdditiveFunctor.ofExact_obj_fst · cited by 0AdditiveFunctor.ofExact_o…CategoryTheory.AdditiveFunctor.ofLeftExact_map_hom · cited by 0AdditiveFunctor.ofLeftExa…CategoryTheory.AdditiveFunctor.ofLeftExact_obj_fst · cited by 0AdditiveFunctor.ofLeftExa…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveCategoryTheory.Functor.Additive · cited by 1179Functor.AdditiveCategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.additiveFunctorCITED BYCITES

Cites5

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Cited by21

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