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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] → Type (max (max (max u_1 u_2) v_1) v_2)

Bundled additive functors.

Defined in
Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
Cited by
10 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Preadditive

Around this declaration

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

CategoryTheory.AdditiveFunctor.of · cited by 4AdditiveFunctor.ofCategoryTheory.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…ringEquivEndForget₂ · cited by 0ringEquivEndForget₂CategoryTheory.AdditiveFunctor.of.congr_simp · cited by 0of.congr_simpCategoryTheory.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.AdditiveFunctor.ofRightExact_map_hom · cited by 0AdditiveFunctor.ofRightEx…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveCategoryTheory.ObjectProperty.FullSubcategory · cited by 726ObjectProperty.FullSubcat…CategoryTheory.additiveFunctor · cited by 15CategoryTheory.additiveFu…CategoryTheory.AdditiveFunctorCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by16

Results whose statement or proof uses this declaration.