Theorems · Inductive type · category theory
CategoryTheory.MorphismProperty.RightFraction
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → CategoryTheory.MorphismProperty C → C → C → Type (max u_1 v_1)A right fraction from X : C to Y : C for W : MorphismProperty C consists of the
datum of an object X' : C and maps s : X' ⟶ X and f : X' ⟶ Y such that W s.
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MorphismPropertystatement · cited by 2,179
Cited by62
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.RightFraction.sstatement and proof · cited by 38
- CategoryTheory.MorphismProperty.RightFraction.fstatement and proof · cited by 36
- CategoryTheory.MorphismProperty.RightFraction.X'statement and proof · cited by 31
- CategoryTheory.MorphismProperty.RightFraction.mapstatement and proof · cited by 18
- CategoryTheory.MorphismProperty.RightFractionRelstatement and proof · cited by 11
- CategoryTheory.MorphismProperty.RightFraction.ofInvstatement · cited by 8
- CategoryTheory.MorphismProperty.RightFraction.opstatement and proof · cited by 8
- CategoryTheory.MorphismProperty.RightFraction.exists_leftFractionstatement and proof · cited by 7
- CategoryTheory.MorphismProperty.LeftFraction.opstatement · cited by 6
- CategoryTheory.MorphismProperty.RightFraction.map_s_comp_mapstatement and proof · cited by 5
- CategoryTheory.Localization.exists_rightFractionstatement · cited by 5
- CategoryTheory.MorphismProperty.RightFraction.ofHomstatement · cited by 5