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Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFractionRel

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {W : CategoryTheory.MorphismProperty C} → {X Y : C} → W.LeftFraction X Y → W.LeftFraction X Y → Prop

The equivalence relation on left fractions for a morphism property W.

Defined in
Mathlib.CategoryTheory.Localization.CalculusOfFractions
Cited by
18 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
CategoryTheory.Category
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Around this declaration

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CategoryTheory.MorphismProperty.LeftFraction.Localization.Hom.mk · cited by 10Hom.mkCategoryTheory.MorphismProperty.LeftFraction.Localization.Hom · cited by 8Localization.HomCategoryTheory.MorphismProperty.LeftFraction.map_eq_iff · cited by 4LeftFraction.map_eq_iffCategoryTheory.MorphismProperty.LeftFractionRel.unop · cited by 4LeftFractionRel.unopCategoryTheory.MorphismProperty.RightFractionRel.op · cited by 3RightFractionRel.opCategoryTheory.MorphismProperty.LeftFractionRel.refl · cited by 2LeftFractionRel.reflCategoryTheory.MorphismProperty.LeftFractionRel.symm · cited by 2LeftFractionRel.symmCategoryTheory.MorphismProperty.LeftFractionRel.trans · cited by 2LeftFractionRel.transCategoryTheory.MorphismProperty.LeftFraction₂Rel.snd · cited by 1LeftFraction₂Rel.sndCategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq_iff_leftFractionRel · cited by 1Localization.homMk_eq_iff…CategoryTheory.MorphismProperty.leftFractionRel_op_iff · cited by 1MorphismProperty.leftFrac…CategoryTheory.MorphismProperty.RightFractionRel.unop · cited by 1RightFractionRel.unopCategoryTheory.MorphismProperty.LeftFraction.Localization.map_eq_iff · cited by 1Localization.map_eq_iffCategoryTheory.MorphismProperty.LeftFractionRel.op · cited by 1LeftFractionRel.opCategoryTheory.MorphismProperty.LeftFraction₂.map_eq_iff · cited by 1LeftFraction₂.map_eq_iffCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.LeftFraction · cited by 67MorphismProperty.LeftFrac…CategoryTheory.MorphismProperty.LeftFraction.Y' · cited by 57LeftFraction.Y'CategoryTheory.MorphismProperty.LeftFraction.f · cited by 52LeftFraction.fCategoryTheory.MorphismProperty.LeftFraction.s · cited by 51LeftFraction.sMorphismProperty.LeftFraction…CITED BYCITES

Cites8

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Cited by20

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