Theorems · Definition · category theory
CategoryTheory.MorphismProperty.RightFraction.f
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
{W : CategoryTheory.MorphismProperty C} → {X Y : C} → (self : W.RightFraction X Y) → self.X' ⟶ Ythe numerator of a right fraction
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.RightFractionstatement and proof · cited by 37
- CategoryTheory.MorphismProperty.RightFraction.X'statement · cited by 31
Cited by44
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.RightFraction.mapproof · cited by 18
- CategoryTheory.MorphismProperty.RightFractionRelproof · cited by 11
- CategoryTheory.MorphismProperty.RightFraction.opproof · cited by 8
- CategoryTheory.MorphismProperty.RightFraction.exists_leftFractionstatement · cited by 7
- CategoryTheory.Localization.exists_leftFraction₂proof · cited by 7
- CategoryTheory.MorphismProperty.RightFraction.map_s_comp_mapstatement and proof · cited by 5
- CategoryTheory.MorphismProperty.RightFraction.unopproof · cited by 4
- CategoryTheory.MorphismProperty.LeftFractionRel.unopproof · cited by 4
- CategoryTheory.MorphismProperty.RightFractionRel.opproof · cited by 3
- CategoryTheory.MorphismProperty.HasLeftCalculusOfFractions.exists_leftFractionstatement · cited by 3
- CategoryTheory.ObjectProperty.SerreClassLocalization.preservesKernelproof · cited by 3
- CategoryTheory.MorphismProperty.map_eq_iff_precompproof · cited by 3