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Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFraction.Localization.Q

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    (W : CategoryTheory.MorphismProperty C) →
      [inst_1 : W.HasLeftCalculusOfFractions] →
        CategoryTheory.Functor C (CategoryTheory.MorphismProperty.LeftFraction.Localization W)

The localization functor to the constructed localized category for a morphism property that has left calculus of fractions.

Defined in
Mathlib.CategoryTheory.Localization.CalculusOfFractions
Cited by
21 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasLeftCalculusOfFractions
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Around this declaration

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CategoryTheory.Localization.exists_leftFraction · cited by 14Localization.exists_leftF…CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk · cited by 9Localization.homMkCategoryTheory.MorphismProperty.LeftFraction.Localization.Qinv · cited by 9Localization.QinvCategoryTheory.MorphismProperty.LeftFraction.map_eq_iff · cited by 4LeftFraction.map_eq_iffCategoryTheory.MorphismProperty.LeftFraction.Localization.Qiso · cited by 4Localization.QisoCategoryTheory.MorphismProperty.LeftFraction.Localization.Qiso_inv_hom_id · cited by 2Localization.Qiso_inv_hom…CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq · cited by 2Localization.homMk_eqCategoryTheory.MorphismProperty.LeftFraction.Localization.Q_map_comp_Qinv · cited by 2Localization.Q_map_comp_Q…CategoryTheory.MorphismProperty.LeftFraction.Localization.Qiso_hom_inv_id · cited by 2Localization.Qiso_hom_inv…CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_comp_homMk · cited by 1Localization.homMk_comp_h…CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq_hom_mk · cited by 1Localization.homMk_eq_hom…CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq_iff_leftFractionRel · cited by 1Localization.homMk_eq_iff…CategoryTheory.MorphismProperty.LeftFraction.Localization.map_eq_iff · cited by 1Localization.map_eq_iffCategoryTheory.MorphismProperty.LeftFraction.Localization.StrictUniversalPropertyFixedTarget.inverts · cited by 1StrictUniversalPropertyFi…CategoryTheory.MorphismProperty.LeftFraction.Localization.Q_map · cited by 1Localization.Q_mapCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.HasLeftCalculusOfFractions · cited by 71MorphismProperty.HasLeftC…CategoryTheory.MorphismProperty.LeftFraction.Localization · cited by 20LeftFraction.LocalizationCategoryTheory.MorphismProperty.LeftFraction.Localization.Hom.mk · cited by 10Hom.mkCategoryTheory.MorphismProperty.LeftFraction.ofHom · cited by 8LeftFraction.ofHomLocalization.QCITED BYCITES

Cites8

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Cited by25

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