Theorems · Theorem · category theory
CategoryTheory.CatCenter.ext_of_localization
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(L : CategoryTheory.Functor C D) (W : CategoryTheory.MorphismProperty C) [L.IsLocalization W]
(r s : CategoryTheory.CatCenter D), (∀ (X : C), r.app (L.obj X) = s.app (L.obj X)) → r = s- Cited by
- 4 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
- CategoryTheory.CatCenterstatement and proof · cited by 53
- CategoryTheory.CatCenter.appstatement and proof · cited by 31
- CategoryTheory.Localization.natTrans_extproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.CatCenter.localization_addproof · cited by 0
- CategoryTheory.CatCenter.localization_mulproof · cited by 0
- CategoryTheory.CatCenter.localization_oneproof · cited by 0
- CategoryTheory.CatCenter.localization_zeroproof · cited by 0