Theorems · Theorem · category theory
CategoryTheory.Localization.Preadditive.map_add
∀ {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] {X Y : C} (f₁ f₂ : X ⟶ Y), L.map (f₁ + f₂) = L.map f₁ + L.map f₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Equiv.symmproof · cited by 3,681
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Category.comp_idproof · cited by 2,119
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.functor_additiveproof · cited by 0