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Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFraction.s

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {W : CategoryTheory.MorphismProperty C} → {X Y : C} → (self : W.LeftFraction X Y) → Y ⟶ self.Y'

the denominator of a left fraction

Defined in
Mathlib.CategoryTheory.Localization.CalculusOfFractions
Cited by
51 results in Mathlib
Foundations
Depth 5 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.map · cited by 43LeftFraction.mapCategoryTheory.MorphismProperty.LeftFraction.hs · cited by 20LeftFraction.hsCategoryTheory.MorphismProperty.LeftFractionRel · cited by 18MorphismProperty.LeftFrac…CategoryTheory.MorphismProperty.LeftFraction.map_comp_map_s · cited by 16LeftFraction.map_comp_map…CategoryTheory.MorphismProperty.RightFraction.exists_leftFraction · cited by 7RightFraction.exists_left…CategoryTheory.Localization.exists_leftFraction₂ · cited by 7Localization.exists_leftF…CategoryTheory.MorphismProperty.LeftFraction.map_comp_map_s_assoc · cited by 6LeftFraction.map_comp_map…CategoryTheory.MorphismProperty.LeftFraction.op · cited by 6LeftFraction.opCategoryTheory.MorphismProperty.LeftFraction.comp₀ · cited by 5LeftFraction.comp₀CategoryTheory.MorphismProperty.LeftFraction.unop · cited by 5LeftFraction.unopCategoryTheory.Localization.essSurj_mapArrow · cited by 4Localization.essSurj_mapA…CategoryTheory.MorphismProperty.LeftFractionRel.unop · cited by 4LeftFractionRel.unopCategoryTheory.MorphismProperty.HasLeftCalculusOfFractions.exists_leftFraction · cited by 3HasLeftCalculusOfFraction…CategoryTheory.ObjectProperty.SerreClassLocalization.preservesCokernel · cited by 3SerreClassLocalization.pr…CategoryTheory.MorphismProperty.LeftFraction.map_ofHom · cited by 3LeftFraction.map_ofHomCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.LeftFraction · cited by 67MorphismProperty.LeftFrac…CategoryTheory.MorphismProperty.LeftFraction.Y' · cited by 57LeftFraction.Y'LeftFraction.sCITED BYCITES

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Cited by62

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