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Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFraction.rightFraction

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

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

Defined in
Mathlib.CategoryTheory.Localization.CalculusOfFractions
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses Classical.choice
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasRightCalculusOfFractions
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CategoryTheory.MorphismProperty.LeftFraction.rightFraction_fac · cited by 1LeftFraction.rightFractio…CategoryTheory.MorphismProperty.LeftFraction.rightFraction_fac_assoc · cited by 0LeftFraction.rightFractio…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.LeftFraction · cited by 67MorphismProperty.LeftFrac…CategoryTheory.MorphismProperty.RightFraction · cited by 37MorphismProperty.RightFra…CategoryTheory.MorphismProperty.HasRightCalculusOfFractions · cited by 14MorphismProperty.HasRight…CategoryTheory.MorphismProperty.LeftFraction.exists_rightFraction · cited by 1LeftFraction.exists_right…LeftFraction.rightFractionCITED BYCITES

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