Theorems · Theorem · category theory
CategoryTheory.CatCenter.localization_add
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(r s : CategoryTheory.CatCenter C) (L : CategoryTheory.Functor C D) (W : CategoryTheory.MorphismProperty C)
[inst_2 : L.IsLocalization W] [inst_3 : CategoryTheory.Preadditive C] [inst_4 : CategoryTheory.Preadditive D]
[L.Additive], (r + s).localization L W = r.localization L W + s.localization L W- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
- CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
- CategoryTheory.CatCenterstatement and proof · cited by 53
- CategoryTheory.CatCenter.appproof · cited by 31
- CategoryTheory.Functor.map_addproof · cited by 24
- CategoryTheory.CatCenter.localizationstatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.CatCenter.localizationRingHomproof · cited by 0