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Theorems · Definition · category theory

CategoryTheory.MorphismProperty.RightFraction.leftFraction

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

A choice of a left fraction deduced from a right fraction for a morphism property W when W has left calculus of fractions.

Defined in
Mathlib.CategoryTheory.Localization.CalculusOfFractions
Cited by
3 results in Mathlib
Foundations
Depth 9 from the axioms · uses Classical.choice
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasLeftCalculusOfFractions
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CategoryTheory.MorphismProperty.LeftFraction.comp · cited by 2LeftFraction.compCategoryTheory.MorphismProperty.RightFraction.leftFraction_fac · cited by 2RightFraction.leftFractio…CategoryTheory.MorphismProperty.LeftFraction.comp_eq · cited by 1LeftFraction.comp_eqCategoryTheory.MorphismProperty.RightFraction.leftFraction_fac_assoc · cited by 0RightFraction.leftFractio…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.HasLeftCalculusOfFractions · cited by 71MorphismProperty.HasLeftC…CategoryTheory.MorphismProperty.LeftFraction · cited by 67MorphismProperty.LeftFrac…CategoryTheory.MorphismProperty.RightFraction · cited by 37MorphismProperty.RightFra…CategoryTheory.MorphismProperty.RightFraction.exists_leftFraction · cited by 7RightFraction.exists_left…RightFraction.leftFractionCITED BYCITES

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