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Theorems · Theorem · category theory

CategoryTheory.CatCenter.localization_one

∀ {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) [inst_2 : L.IsLocalization W],
  CategoryTheory.CatCenter.localization 1 L W = 1
Defined in
Mathlib.CategoryTheory.Center.Localization
Cited by
0 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalization
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Around this declaration

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CategoryTheory.CatCenter.localizationRingHom · cited by 0CatCenter.localizationRin…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.Functor.map_id · cited by 616Functor.map_idCategoryTheory.Functor.IsLocalization · cited by 432Functor.IsLocalizationCategoryTheory.CatCenter · cited by 53CategoryTheory.CatCenterCategoryTheory.CatCenter.localization · cited by 6CatCenter.localizationCategoryTheory.CatCenter.localization_app · cited by 5CatCenter.localization_appCategoryTheory.CatCenter.ext_of_localization · cited by 4CatCenter.ext_of_localiza…CatCenter.localization_oneCITED BYCITES

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