Theorems · Definition · category theory
CategoryTheory.Localization.Construction.wInv
{C : Type uC} →
[inst : CategoryTheory.Category.{uC', uC} C] →
{W : CategoryTheory.MorphismProperty C} → {X Y : C} → (w : X ⟶ Y) → W w → (W.Q.obj Y ⟶ W.Q.obj X)The formal inverse in W.Localization of a morphism w in W.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Iso.invproof · cited by 6,514
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.Qstatement · cited by 98
- CategoryTheory.MorphismProperty.Localizationstatement · cited by 72
- CategoryTheory.Localization.Construction.wIsoproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.Construction.morphismProperty_eq_topstatement and proof · cited by 2
- CategoryTheory.Localization.Construction.wInv_eq_isoOfHom_invstatement · cited by 1
- CategoryTheory.Localization.Construction.wInv.congr_simpstatement and proof · cited by 0