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Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFraction.Localization

{C : Type u_1} → [inst : CategoryTheory.Category.{v_1, u_1} C] → CategoryTheory.MorphismProperty C → Type u_1

The constructed localized category for a morphism property that has left calculus of fractions.

Defined in
Mathlib.CategoryTheory.Localization.CalculusOfFractions
Cited by
20 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.Category
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.MorphismProperty.LeftFraction.Localization.Q · cited by 21Localization.QCategoryTheory.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.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.StrictUniversalPropertyFixedTarget.lift · cited by 1StrictUniversalPropertyFi…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…LeftFraction.LocalizationCITED BYCITES

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Cited by26

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