Theorems · Definition · category theory
Quiver.FreeGroupoid.lift
{V : Type u} →
[inst : Quiver V] →
{V' : Type u'} → [inst_1 : CategoryTheory.Groupoid V'] → V ⥤q V' → CategoryTheory.Functor (Quiver.FreeGroupoid V) V'The lift of a prefunctor to a groupoid, to a functor from FreeGroupoid V
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- Quiverstatement and proof · cited by 405
- CategoryTheory.Groupoidstatement and proof · cited by 182
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.Quotient.liftproof · cited by 11
- Quiver.FreeGroupoidstatement · cited by 8
- Quiver.FreeGroupoid.redStepproof · cited by 7
- CategoryTheory.Paths.liftproof · cited by 7
- Quiver.Symmetrify.liftproof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.FreeGroupoid.liftproof · cited by 12
- CategoryTheory.FreeGroupoid.lift_uniqueproof · cited by 5
- CategoryTheory.FreeGroupoid.lift_specproof · cited by 4
- Quiver.FreeGroupoid.lift_uniquestatement · cited by 3
- Quiver.freeGroupoidFunctorproof · cited by 2
- Quiver.FreeGroupoid.lift_specstatement and proof · cited by 1
- Quiver.freeGroupoidFunctor_compproof · cited by 0