Theorems · Definition · category theory
CategoryTheory.FreeGroupoid.of
(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor C (CategoryTheory.FreeGroupoid C)The localization functor from the category C to the groupoid FreeGroupoid C
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 24 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.
Cites12
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
- CategoryTheory.Functorstatement · cited by 16,252
- Prefunctor.objproof · cited by 1,241
- Prefunctor.mapproof · cited by 952
- Prefunctorproof · cited by 116
- CategoryTheory.Quotientproof · cited by 48
- CategoryTheory.Quotient.functorproof · cited by 41
- Prefunctor.compproof · cited by 35
- CategoryTheory.FreeGroupoidstatement · cited by 27
- CategoryTheory.Functor.toPrefunctorproof · cited by 24
- Quiver.FreeGroupoid.ofproof · cited by 7
- CategoryTheory.FreeGroupoid.homRelproof · cited by 3
Cited by31
Results whose statement or proof uses this declaration.
- CategoryTheory.FreeGroupoid.mapproof · cited by 14
- CategoryTheory.FreeGroupoid.mkproof · cited by 7
- CategoryTheory.FreeGroupoid.lift_uniquestatement and proof · cited by 5
- CategoryTheory.FreeGroupoid.lift_specstatement · cited by 4
- CategoryTheory.FreeGroupoid.liftNatIso_hom_appstatement and proof · cited by 3
- CategoryTheory.FreeGroupoid.liftNatIso_inv_appstatement and proof · cited by 3
- CategoryTheory.FreeGroupoid.functorEquivproof · cited by 2
- CategoryTheory.FreeGroupoid.homMkproof · cited by 2
- CategoryTheory.FreeGroupoid.liftNatIsostatement and proof · cited by 2
- CategoryTheory.FreeGroupoid.mapCompproof · cited by 2
- CategoryTheory.FreeGroupoid.mapCompLiftproof · cited by 2
- CategoryTheory.FreeGroupoid.mapIdproof · cited by 2