Theorems · Theorem · category theory
CategoryTheory.Localization.Construction.wInv_eq_isoOfHom_inv
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C} {X Y : C}
(f : X ⟶ Y) (hf : W f),
CategoryTheory.Localization.Construction.wInv f hf = (CategoryTheory.Localization.isoOfHom W.Q W f hf).inv- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.invstatement and proof · 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.isoOfHomstatement · cited by 35
- CategoryTheory.Localization.Construction.wInvstatement · cited by 3
- CategoryTheory.Localization.Construction.wIso_eq_isoOfHomproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.morphismProperty_eq_topproof · cited by 1