Theorems · Theorem · category theory

CategoryTheory.Localization.functor_additive

∀ {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] [inst_2 : CategoryTheory.Preadditive C]
  (L : CategoryTheory.Functor C D) (W : CategoryTheory.MorphismProperty C) [inst_3 : L.IsLocalization W]
  [inst_4 : W.HasLeftCalculusOfFractions], L.Additive

Defined in: Mathlib.CategoryTheory.Localization.CalculusOfFractions.Preadditive
Cited by: 0 results in Mathlib
Foundations: Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Preadditive CategoryTheory.Functor.IsLocalization CategoryTheory.MorphismProperty.HasLeftCalculusOfFractions

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Preadditivestatement and proof · cited by 3,309
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.Functor.Additivestatement · cited by 1,179
CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
CategoryTheory.MorphismProperty.HasLeftCalculusOfFractionsstatement and proof · cited by 71
CategoryTheory.Localization.Preadditive.map_addproof · cited by 1
CategoryTheory.Localization.preadditivestatement · cited by 1

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