Theorems · Definition · category theory
CategoryTheory.Localization.Construction.wIso
{C : Type uC} →
[inst : CategoryTheory.Category.{uC', uC} C] →
{W : CategoryTheory.MorphismProperty C} → {X Y : C} → (w : X ⟶ Y) → W w → (W.Q.obj X ≅ W.Q.obj Y)The isomorphism in W.Localization associated to a morphism w in W
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- Prefunctor.mapproof · cited by 952
- CategoryTheory.MorphismProperty.Qstatement and proof · cited by 98
- CategoryTheory.MorphismProperty.Localizationstatement · cited by 72
- CategoryTheory.Quotient.functorproof · cited by 41
- CategoryTheory.Paths.ofproof · cited by 20
- CategoryTheory.Localization.Construction.LocQuiverproof · cited by 13
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.Construction.wInvproof · cited by 3
- CategoryTheory.Localization.Construction.uniqproof · cited by 2
- CategoryTheory.MorphismProperty.Q_invertsproof · cited by 1
- CategoryTheory.Localization.Construction.wIso_eq_isoOfHomstatement and proof · cited by 1
- CategoryTheory.Localization.Construction.morphismProperty_eq_top'proof · cited by 0
- CategoryTheory.Localization.Construction.wIso.congr_simpstatement and proof · cited by 0