Theorems · Inductive type · category theory
CategoryTheory.MorphismProperty.HasRightCalculusOfFractions
{C : Type u_1} → [inst : CategoryTheory.Category.{v_1, u_1} C] → CategoryTheory.MorphismProperty C → PropA multiplicative morphism property W has right calculus of fractions if
any left fraction can be turned into a right fraction and that two morphisms
that can be equalized by postcomposition with a morphism in W can also
be equalized by precomposition with a morphism in W.
- Cited by
- 14 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 by17
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.exists_rightFractionstatement and proof · cited by 5
- CategoryTheory.MorphismProperty.map_eq_iff_precompstatement and proof · cited by 3
- CategoryTheory.MorphismProperty.LeftFraction.rightFractionstatement and proof · cited by 2
- CategoryTheory.Adjunction.hasRightCalculusOfFractionsstatement · cited by 1
- CategoryTheory.MorphismProperty.RightFractionRel.transstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.HasRightCalculusOfFractions.exists_rightFractionstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.LeftFraction.rightFraction_facstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.RightFraction.map_eq_iffstatement and proof · cited by 1
- CategoryTheory.Localization.essSurj_mapComposableArrows_of_hasRightCalculusOfFractionsstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.LeftFraction.exists_rightFractionstatement and proof · cited by 1
- CategoryTheory.Adjunction.hasRightCalculusOfFractions'statement · cited by 0
- CategoryTheory.MorphismProperty.HasRightCalculusOfFractions.casesOnstatement and proof · cited by 0